{"id":1675,"date":"2023-06-22T13:33:02","date_gmt":"2023-06-22T13:33:02","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/students-additional-lumen-resources\/"},"modified":"2026-03-09T23:39:27","modified_gmt":"2026-03-09T23:39:27","slug":"students-additional-lumen-resources","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/students-additional-lumen-resources\/","title":{"raw":"Students: Additional Lumen Resources","rendered":"Students: Additional Lumen Resources"},"content":{"raw":"<h2 style=\"text-align: left;\"><a id=\"top\"><\/a><img class=\"wp-image-4897 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22133259\/Information-tab-rafiki-e1671129794947.png\" alt=\"A student using a magnifying glass to get a closer look at the details in a data visualization.\" width=\"182\" height=\"163\" \/>Welcome, students!<\/h2>\r\n<p style=\"text-align: left;\">Here, you'll find links to resources to support your learning in this course, including links to our Statistical Technology Tools - these tools are available in the learning content when you'll need them, but you can always access them here for other assignments.<\/p>\r\n<p>&nbsp;<\/p>\r\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>: <a class=\"anchorLink\" href=\"#cheatsheets\">Cheat Sheets<\/a>\u00a0<strong>| <\/strong><a class=\"anchorLink\" href=\"#notes\">Guided Notes<\/a>\u00a0<strong>| <\/strong><a class=\"anchorLink\" href=\"#practiceproblems\">Get Stronger Practice Pages<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <br \/>\r\n<a class=\"anchorLink\" href=\"#statstools\">Statistical Technology Tools<\/a> <span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#datasets\">Data Set Files<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#meet\">Meet Our Instructors<\/a><\/span><\/p>\r\n<p style=\"text-align: center;\">------------------------------------------------------<\/p>\r\n<section class=\"textbox\">\r\n<h3><a id=\"cheatsheets\"><\/a>Cheat Sheets<\/h3>\r\n<p>These quick-reference notes bring together the most important takeaways from each module in one place. Each cheat sheet highlights essential concepts and provides a glossary of key terms. They\u2019re designed to make studying more efficient by giving you a condensed version of the material so you can review with confidence.<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+1_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 1 Cheat Sheet: Thinking Statistically and Collecting Data<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+2_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 2 Cheat Sheet: Statistical Studies<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+3_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 3 Cheat Sheet: Describing Data Graphically<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+4_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 4 Cheat Sheet: Describing Data Numerically<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+5_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 5 Cheat Sheet: Modeling and Analysis of Bivariate Data<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+6_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 6 Cheat Sheet: Probability<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+7_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 7 Cheat Sheet: The Normal Distribution<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+8_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 8 Cheat Sheet: Introduction to Sampling Distributions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+9_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 9 Cheat Sheet: Confidence Intervals for Population Proportions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+10_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 10 Cheat Sheet: Hypothesis Testing for a Population Proportions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+11_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 11 Cheat Sheet: Confidence Intervals for Population Means<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+12_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 12 Cheat Sheet: Hypothesis Testing for Population Means<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+13_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 13 Cheat Sheet: Analysis of Variance<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+14_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 14 Cheat Sheet: Chi-Square Statistics<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+15_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 15 Cheat Sheet: Inferences Concerning Regression Models<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+16_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 16 Cheat Sheet: Multiple Linear Regression<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+17_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 17 Cheat Sheet: Bootstrap and Simulation-Based Statistics<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+18_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 18 Cheat Sheet: Additional Concepts in Probability<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+19_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 19 Cheat Sheet: Additional Concepts in Probability Distributions<\/a><\/p>\r\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\r\n<\/section>\r\n<section class=\"textbox\">\r\n<h3><a id=\"notes\"><\/a>Guided Notes<\/h3>\r\n<p>These notes are designed to help you follow along with the material if you find that helpful. Use them as you listen to a class lecture or as you make your way through the Study Plan. You\u2019re welcome to print these guided notes, modify them, or skim them while studying \u2013 it\u2019s entirely up to you. They\u2019re not about taking perfect notes or completing an assignment to turn in. \u00a0They will help you process and remember information so that you can later apply your knowledge and build on it.<\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/14qIbVAkc5OBF146hEGDR_bL0wLNr6qNDNyd6q9gpwhM\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 1 Guided Notes: Thinking Statistically and Collecting Data<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1mApEUvk8seYuwNBpAgfJZiTC4cWt_pqgnRpy3b6A82A\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 2 Guided Notes: Statistical Studies<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1n3XZFUk_djfaPIa75sTqjW8oF_c3STt1OmWbHFyn2NU\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 3 Guided Notes: Describing Data Graphically<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1G4ivpeGEp9ZiX1zohIVOooCYEsWp-Qf5VfrFA5Avjf8\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 4 Guided Notes: Describing Data Numerically<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1m1F_dcEreGG1b0Wra9f9BgBisBQoSK_kfzvXxJo-aiE\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 5 Guided Notes: Modeling and Analysis of Bivariate Data<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1BzZkhTHaJMYNu1GIabpLvTCYQsJsXwo7l9N95sJtloo\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 6 Guided Notes: Probability<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-EMfILZU3lar4hHjyzIjJeMyQPpa0dBj8Iw8fpDUdkc\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 7 Guided Notes: The Normal Distribution<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1Y5swwZsYvmdCZFskJ0XQu_ylQQHNsukgLOA_VD3zWF0\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 8 Guided Notes: Introduction to Sampling Distributions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1rXSIC1FRRtOY49JrG2C_SA9L0W73rK7V0YQ-0mNfcYw\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 9 Guided Notes: Confidence Intervals for Population Proportions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1fhoPjETEPgajZMQjurFc_c23MyL6W530xxKGmWKfSRs\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 10 Guided Notes: Hypothesis Testing for a Population Proportions<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/12zKke8idUbiMxQelQv969u8WbYTSnduX2vASeRlbtx8\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 11 Guided Notes: Confidence Intervals for Population Means<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1XqRAz7WNvDb4jR0qhkc279QaW7bqUQ0mnWGGBUMbRRY\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 12 Guided Notes: Hypothesis Testing for Population Means<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ZmQR4QrqVTOF2uKfPoMsQDnjsUpUSrSQhGzkDTUKMxE\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 13 Guided Notes: Analysis of Variance<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1UU2wC_aNtxxNzgXARY1z1mskx7YO2L-zwFQ2SNvpi6Y\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 14 Guided Notes: Chi-Square Statistics<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1PCfSBBdexFI_8Ie35Gj5XOBHZihiEuWuU4D_FabQzdk\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 15 Guided Notes: Inferences Concerning Regression Models<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1wweNKLKT-Ke12GeP9Xt2X2wTvN59-F5xhjskETBumMQ\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 16 Guided Notes: Multiple Linear Regression<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1a2El4-xNwiS1xpn_3zv0FsiWFmX8zcrsIdxT-wI1nho\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 17 Guided Notes: Bootstrap and Simulation-Based Statistics<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1QaC692zkMBtbRQSDA4dBFMpjehjIJOWgOEq-iU4dSP0\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 18 Guided Notes: Additional Concepts in Probability<\/a><\/p>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/146gM3APOeSmdg8qaKGLjxc_Vj19SLNgIPCzUz1MfoXM\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 19 Guided Notes: Additional Concepts in Probability Distributions<\/a><\/p>\r\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\r\n<\/section>\r\n<div class=\"textbox\">\r\n<h3><a id=\"practiceproblems\"><\/a>Get Stronger: Practice Pages<\/h3>\r\n<p>Additional practice problems that help develop a deeper understanding of the concepts in the Learn It and Apply It.<\/p>\r\n<h4>Module 1<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+1\/Data+Collection+and+Organization.pdf\" target=\"_blank\" rel=\"noopener\">Data Collection and Organization<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+1\/Statistical+Questions.pdf\" target=\"_blank\" rel=\"noopener\">Statistical Questions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Student_Random_Sampling.pdf\" target=\"_blank\" rel=\"noopener\">Random Sampling<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Sampling+Methods.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Methods<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 2<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Experimental+Design.pdf\" target=\"_blank\" rel=\"noopener\">Experimental Design<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Observational+Studies.pdf\" target=\"_blank\" rel=\"noopener\">Observational Studies<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Advanced+Experimental+Design.pdf\" target=\"_blank\" rel=\"noopener\">Advanced Experimental Design<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+5\/Complex+Graphical+Displays.pdf\" target=\"_blank\" rel=\"noopener\">Complex Graphical Displays<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+5\/Effective+Visualizations.pdf\" target=\"_blank\" rel=\"noopener\">Effective Visualizations<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 3<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Displaying_Categorical_Data.pdf\" target=\"_blank\" rel=\"noopener\">Displaying Categorical Data<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Applications%2Bof%2BBar%2BGraphs.pdf\" target=\"_blank\" rel=\"noopener\">Applications of Bar Graphs<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Visualizing_Quantitative_Data.pdf\" target=\"_blank\" rel=\"noopener\">Visualizing Quantitative Data<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Distribution_of_Quantitative_Variables.pdf\" target=\"_blank\" rel=\"noopener\">Distribution of Quantitative Variables<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Comparing_Quantitative_Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Comparing Quantitative Distributions<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 4<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Student_Module_4_Getting_Stronger_Measures_of_Center.pdf\" target=\"_blank\" rel=\"noopener\">Measures of Center<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Interpretation+of+Mean+and+Median.pdf\" target=\"_blank\" rel=\"noopener\">Interpreting the Mean and Median<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Boxplot+Data+and+Displays.pdf\" target=\"_blank\" rel=\"noopener\">Boxplot Data and Displays<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Measures+of+Variability.pdf\" target=\"_blank\" rel=\"noopener\">Measures of Variability<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Student_Module_4_Getting_Stronger_Z-Score_and_the_Empirical_Rule.pdf\" target=\"_blank\" rel=\"noopener\">Z-Score and the Empirical Rule<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 5<\/h4>\r\n<div id=\"inline10\" class=\"item\">\r\n<div class=\"itemsum\">\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+5\/Student_Module_5_Getting_Stronger_Scatterplot.pdf\" target=\"_blank\" rel=\"noopener\">Scatterplots<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Line_of_Best_Fit.pdf\" target=\"_blank\" rel=\"noopener\">Line of Best Fit<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Equation_of_the_Line_of_Best_Fit.pdf\" target=\"_blank\" rel=\"noopener\">Equation of the Line of Best Fit<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Coefficient_of_Determination.pdf\" target=\"_blank\" rel=\"noopener\">Coefficient of Determination<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Assessing_the_Fit_of_a_Line.pdf\" target=\"_blank\" rel=\"noopener\">Assessing the Fit of a Line<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Making_Predictions.pdf\" target=\"_blank\" rel=\"noopener\">Making Predictions<\/a><\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<h4>Module 6<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Student_Module_7_Getting_Stronger_Probability.pdf\" target=\"_blank\" rel=\"noopener\">Probability<\/a><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Probability.pdf\" target=\"_blank\" rel=\"noopener\"><br \/>\r\n<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Probabilities+of+Two+Events.pdf\" target=\"_blank\" rel=\"noopener\">Probabilities of Two Events<\/a><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Probability.pdf\" target=\"_blank\" rel=\"noopener\"><br \/>\r\n<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Conditional+Probabilities.pdf\" target=\"_blank\" rel=\"noopener\">Conditional Probabilities<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 7<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Probability+Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Probability Distributions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Student_Module_8_Getting_Stronger_Normal_Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Normal Distribution<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Normal+Distributions+(Continued).pdf\" target=\"_blank\" rel=\"noopener\">Normal Distribution (continued)<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 8<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+9\/Student_Module_9_Getting_Stronger_Inference_Basics.pdf\" target=\"_blank\" rel=\"noopener\">Inference Basics<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+9\/Student_Module_9_Getting_Stronger_Sampling_Distribution_of_a_Sample_Proportion.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of a Sample Proportion<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+9\/Student_Module_9_Getting_Stronger_Sampling_Variability.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Variability<\/a><\/li>\r\n<\/ul>\r\n<h4><span style=\"font-family: 'Public Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;\">Module 9<\/span><\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Student_Module_10_Getting_Stronger_Confidence_Interval_for_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Proportions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Confidence+Intervals+for+Proportions+(Continued).pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Proportions (continued)<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Sample+Size+for+Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Sample Size for Proportions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Student_Module_10_Getting_Stronger_Confidence_Intervals_for_the_Difference_in_Population_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Intervals for the Difference in Population Proportions<\/a><\/li>\r\n<\/ul>\r\n<h4><span style=\"font-family: 'Public Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;\">Module 10<\/span><\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Null+and+Alternative+Hypotheses.pdf\" target=\"_blank\" rel=\"noopener\">Null and Alternative Hypotheses<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Test+Statistics.pdf\" target=\"_blank\" rel=\"noopener\">Test Statistics<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_P-Value.pdf\" target=\"_blank\" rel=\"noopener\">P-Value<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_One-Sample_Hypothesis_Test_for_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">One-Sample Hypothesis Test for Proportions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_Errors_in_Hypothesis_Testing.pdf\" target=\"_blank\" rel=\"noopener\">Errors in Hypothesis Testing<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_Two_Sample_Test_for_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Two-Sample Test for Proportions<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_Connecting_Tests_and_Intervals.pdf\" target=\"_blank\" rel=\"noopener\">Connecting Tests and Intervals<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 11<\/h4>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_Sampling_Distribution_of_a_Sample_Mean.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of a Sample Mean<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_T-Distribution.pdf\" target=\"_blank\" rel=\"noopener\">t-distribution<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_Confidence_Interval_for_a_Population_Mean.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Population Mean<\/a><\/li>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_Confidence_Interval_for_Difference_in_Population_Means.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Difference in Population Means<\/a><\/li>\r\n<\/ul>\r\n<h4>Module 12<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Null+and+Alternative+Hypothesis+for+Means.pdf\" target=\"_blank\" rel=\"noopener\">Null and Alternative Hypothesis for Means<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Student_Module_13_Getting_Stronger_One-Sample_Hypothesis_Test_for_Means.pdf\" target=\"_blank\" rel=\"noopener\">One-Sample Hypothesis Test for Means<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Student_Module_13_Getting_Stronger_Comparing_Two_Population_Means_(Independent_Samples).pdf\" target=\"_blank\" rel=\"noopener\">Comparing Two Population Means (Independent Samples)<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Student_Module_13_Getting_Stronger_Comparing_Two_Population_Means_(Dependent_Samples).pdf\" target=\"_blank\" rel=\"noopener\">Comparing Two Population Means (Dependent Samples)<\/a><\/p>\r\n<h4>Module 13<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/Introduction+to+One-Way+ANOVA.pdf\" target=\"_blank\" rel=\"noopener\">Introduction to One-Way ANOVA<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/Student_Module_14_Getting_Stronger_Conditions_for_ANOVA.pdf\" target=\"_blank\" rel=\"noopener\">Conditions for ANOVA<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/ANOVA.pdf\" target=\"_blank\" rel=\"noopener\">ANOVA<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/Student_Module_14_Getting_Stronger_ANOVA_with_Technology.pdf\" target=\"_blank\" rel=\"noopener\">Pair-wise Comparisons for ANOVA<\/a><\/p>\r\n<h4>Module 14<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Introduction_to_Chi-Square_Statistics.pdf\" target=\"_blank\" rel=\"noopener\">Introduction to Chi-Square Statistics<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Chi-Square_Test_for_Goodness_of_Fit.pdf\" target=\"_blank\" rel=\"noopener\">Chi-Square Test for Goodness of Fit\u00a0<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Chi-Square_Test_of_Homogeneity.pdf\" target=\"_blank\" rel=\"noopener\">Chi-Square Test of Homogeneity<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Chi-Square_Test_of_Independence.pdf\" target=\"_blank\" rel=\"noopener\">Chi-Square Test of Independence<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Fishers_Exact_Test.pdf\" target=\"_blank\" rel=\"noopener\">Fisher's Exact Test<\/a><\/p>\r\n<h4>Module 15<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_Test_for_Significance_of_Slope.pdf\" target=\"_blank\" rel=\"noopener\">Test for Significance of Slope<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_ANOVA_for_Regression.pdf\" target=\"_blank\" rel=\"noopener\">ANOVA for Regression<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_Confidence_Interval_and_Prediction_Interval.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval and Prediction Interval<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_Transforming_Data.pdf\" target=\"_blank\" rel=\"noopener\">Transforming Data<\/a><\/p>\r\n<h4>Module 16<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+17\/Student_Module_17_Getting_Stronger_Multiple_Linear_Regression.pdf\" target=\"_blank\" rel=\"noopener\">Multiple Linear Regression<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+17\/Student_Module_17_Getting_Stronger_Indicator_Variable.pdf\" target=\"_blank\" rel=\"noopener\">Indicator Variable<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+17\/Student_Module_17_Getting_Stronger_Interaction_Terms.pdf\" target=\"_blank\" rel=\"noopener\">Interaction Terms<\/a><\/p>\r\n<h4>Module 17<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Bootstrap_Distribution_and_Confidence_Interval_for_Population_Mean.pdf\" target=\"_blank\" rel=\"noopener\">Bootstrap Distribution and Confidence Interval for a Population Mean<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Bootstrap_Confidence_Interval.pdf\" target=\"_blank\" rel=\"noopener\">Bootstrap Confidence Interval<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Simulation-Based_Hypothesis_Test_for_a_Population_Proportion.pdf\" target=\"_blank\" rel=\"noopener\">Simulation-Based Hypothesis Test for a Population Proportion<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Simulation-Based_Hypothesis_Test_for_a_Difference_in_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Simulation-Based Hypothesis Test for a Difference in Proportions<\/a><\/p>\r\n<h4>Module 18<\/h4>\r\n<h4>Module 19<\/h4>\r\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Discrete+Probability+Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Discrete Probability Distributions<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Student_Module_8_Getting_Stronger_Binomial_Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Binomial Distribution<\/a><br \/>\r\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Connection+between+Binomial+and+Normal+Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Connection Between Binomial and Normal Distributions<\/a><\/p>\r\n<p>Additional Practice:<\/p>\r\n<ul>\r\n\t<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/More+Conditional+Probabilities.pdf\" target=\"_blank\" rel=\"noopener\">More Conditional Probabilities<\/a><\/li>\r\n<\/ul>\r\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\r\n<\/div>\r\n<div class=\"textbox\">\r\n<h3><a id=\"statstools\"><\/a>Statistical Technology Tools<\/h3>\r\n<p>These tools are linked throughout the course so you can solve problems and visualize data in different ways. You can access each tool directly via the links below.<\/p>\r\n<table style=\"border-collapse: collapse; width: 100%; height: 720px;\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 50%; height: 18px;\"><strong>Tool Name<\/strong><\/td>\r\n<td style=\"width: 50%; height: 18px;\"><strong>Description<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Anova (One-Way)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/anova\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/anova\/\" target=\"_blank\" rel=\"noopener\">Anova (One-Way)<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Obtain the ANOVA table, F-statistic and side-by-side boxplots to check assumptions. Carry out pairwise comparisons, including simultaneous confidence intervals for pairwise differences of means.&quot;}\">Obtain the ANOVA table, F-statistic and side-by-side boxplots to check assumptions. Carry out pairwise comparisons, including simultaneous confidence intervals for pairwise differences of means.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Association Between Two Categorical Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_categorical\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/association_categorical\/\" target=\"_blank\" rel=\"noopener\">Association Between Two Categorical Variables<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct 2 x 2 contingency tables, obtain conditional proportions, and get a bar graph. Find the difference or ratio of proportions to describe the strength of the association. Build the sampling distribution of the difference or ratio via resampling.&quot;}\">Construct 2 x 2 contingency tables, obtain conditional proportions, and get a bar graph. Find the difference or ratio of proportions to describe the strength of the association. Build the sampling distribution of the difference or ratio via resampling.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Means&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\" target=\"_blank\" rel=\"noopener\">Compare Two Population Means<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population means. Enter your own data or summary statistics. Visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">Confidence intervals or hypothesis tests about the difference of two population means. Enter your own data or summary statistics. Visualize the interval or the P-value on a graph. For two independent or two dependent samples.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Proportions&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\" target=\"_blank\" rel=\"noopener\">Compare Two Population Proportions<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population proportions. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">Confidence intervals or hypothesis tests about the difference of two population proportions. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph. For two independent or two dependent samples.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Correlation Game&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/guesscorr\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/guesscorr\/\" target=\"_blank\" rel=\"noopener\">Correlation Game<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Randomly generate scatterplots to guess the correlation coefficient r. Optionally, display the regression line. See how your guesses correlate with the actual values.&quot;}\">Randomly generate scatterplots to guess the correlation coefficient r. Optionally, display the regression line. See how your guesses correlate with the actual values.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Categorical Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_categorical\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/eda_categorical\/\" target=\"_blank\" rel=\"noopener\">Describing &amp; Exploring Categorical Data<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct frequency and contingency tables and bar graphs to explore distributions of categorical variables. For one or two categorical variables.&quot;}\">Construct frequency and contingency tables and bar graphs to explore distributions of categorical variables. For one or two categorical variables.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Quantitative Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Describing &amp; Exploring Quantitative Variables<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find summary statistics and construct interactive histograms, boxplots, dotplots, or stem-and leaf plots. For one, two, or more groups.&quot;}\">Find summary statistics and construct interactive histograms, boxplots, dotplots, or stem-and leaf plots. For one, two, or more groups.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Errors and Power in Significance Testing&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/power\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/power\/\" target=\"_blank\" rel=\"noopener\">Errors and Power in Significance Testing<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and explore relationships between Type I and Type II errors and the power of a test for proportions or means. See how they depend on sample size and the true values of population parameters.&quot;}\">Visualize and explore relationships between Type I and Type II errors and the power of a test for proportions or means. See how they depend on sample size and the true values of population parameters.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Coverage of Confidence Intervals&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorecoverage\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/explorecoverage\/\" target=\"_blank\" rel=\"noopener\">Explore Coverage of Confidence Intervals<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;What does \\&quot;95% confidence\\&quot; mean? What affects the width of an interval? Explore these concepts for confidence intervals of proportions or means, using sliders to change parameters or the sample size.&quot;}\">What does \"95% confidence\" mean? What affects the width of an interval? Explore these concepts for confidence intervals of proportions or means, using sliders to change parameters or the sample size.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorelinreg\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/explorelinreg\/\" target=\"_blank\" rel=\"noopener\">Explore Linear Regression<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Create scatterplots from scratch by clicking in an empty plot to add or remove points. Investigate the effect of outliers on the correlation coefficient or regression line. Simulate linear or non-linear relationships.&quot;}\">Create scatterplots from scratch by clicking in an empty plot to add or remove points. Investigate the effect of outliers on the correlation coefficient or regression line. Simulate linear or non-linear relationships.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Time Series Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/timeseries\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/timeseries\/\" target=\"_blank\" rel=\"noopener\">Explore Time Series Data<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Plot a simple time series and add a smooth or linear trend. Use preloaded data or provide your own.&quot;}\">Plot a simple time series and add a smooth or linear trend. Use preloaded data or provide your own.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Exploring MutiVariate Relationships&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/multivariaterelationship\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/multivariaterelationship\/\" target=\"_blank\" rel=\"noopener\">Exploring MutiVariate Relationships<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots to explore the relationship between two quantitative variables while accounting for a third (categorical or quantitative) grouping variable. Fit bivariate multiple linear regression models.&quot;}\">Construct interactive scatterplots to explore the relationship between two quantitative variables while accounting for a third (categorical or quantitative) grouping variable. Fit bivariate multiple linear regression models.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fisher's Exact Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\" target=\"_blank\" rel=\"noopener\">Fisher's Exact Test<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and run Fisher's exact test for 2 x 2 contingency tables. Obtain the exact P-value for one- or two-sided tests.&quot;}\">Visualize and run Fisher's exact test for 2 x 2 contingency tables. Obtain the exact P-value for one- or two-sided tests.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate Random Numbers&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/randomnumbers\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/randomnumbers\/\" target=\"_blank\" rel=\"noopener\">Generate Random Numbers<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate random numbers or flips of a (biased) coin. Keep track of generated numbers with a bar chart.&quot;}\">Generate random numbers or flips of a (biased) coin. Keep track of generated numbers with a bar chart.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_mean\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/inference_mean\/\" target=\"_blank\" rel=\"noopener\">Inference for a Population Mean<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population mean. Enter your own data or summary statistics. Use plots to check assumptions and visualize the interval or the P-value on a graph.&quot;}\">Find confidence intervals or test hypotheses about a population mean. Enter your own data or summary statistics. Use plots to check assumptions and visualize the interval or the P-value on a graph.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\" target=\"_blank\" rel=\"noopener\">Inference for a Population Proportion<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population proportion. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph.&quot;}\">Find confidence intervals or test hypotheses about a population proportion. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/linear_regression\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/linear_regression\/\" target=\"_blank\" rel=\"noopener\">Linear Regression<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fit a simple linear regression model and obtain the regression equation and related statistics such as r-squared. Make predictions and construct confidence intervals. Display and analyze residuals.&quot;}\">Fit a simple linear regression model and obtain the regression equation and related statistics such as r-squared. Make predictions and construct confidence intervals. Display and analyze residuals.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Mean vs. Median&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/meanvsmedian\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/meanvsmedian\/\" target=\"_blank\" rel=\"noopener\">Mean vs. Median<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore the relationship between the mean and median for data derived from a variety of distributions or enter your own data.&quot;}\">Explore the relationship between the mean and median for data derived from a variety of distributions or enter your own data.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Relationship Between Two Quantitative Variables: The Correlation&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_quantitative\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/association_quantitative\/\" target=\"_blank\" rel=\"noopener\">Relationship Between Two Quantitative Variables: The Correlation<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots, hover over points, move or remove points, and overlay a smooth trend line. Find the correlation coefficient r and see if it is robust to outliers. Build the sampling distribution of r via resampling.&quot;}\">Construct interactive scatterplots, hover over points, move or remove points, and overlay a smooth trend line. Find the correlation coefficient r and see if it is robust to outliers. Build the sampling distribution of r via resampling.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Continuous Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of the Sample Mean (Continuous Population)<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample proportion builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases or as the population proportion p changes. Overlay a normal distribution to explore the central limit theorem.&quot;}\">Experience how the sampling distribution of the sample proportion builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases or as the population proportion p changes. Overlay a normal distribution to explore the central limit theorem.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Discrete Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_discrete\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_discrete\/\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of the Sample Mean (Discrete Population)<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical continuous population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical continuous population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Proportion&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of the Sample Proportion<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical discrete population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical discrete population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Binomial Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/binomialdist\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/binomialdist\/\" target=\"_blank\" rel=\"noopener\">The Binomial Distribution<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore how the shape of the binomial distribution depends on the parameter n (the sample size) and p (the probability of success in a Bernoulli trial). Find and visualize probabilities of various kinds.&quot;}\">Explore how the shape of the binomial distribution depends on the parameter n (the sample size) and p (the probability of success in a Bernoulli trial). Find and visualize probabilities of various kinds.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisqdist\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/chisqdist\/\" target=\"_blank\" rel=\"noopener\">The Chi-Squared Distribution<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the chi-squared distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">See how the shape of the chi-squared distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\" target=\"_blank\" rel=\"noopener\">The Chi-Squared Test<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Test for independence, homogeneity, or goodness of fit in contingency tables. Enter your own data as raw observations or as a contingency table. Obtain observed and expected counts, and find residuals.&quot;}\">Test for independence, homogeneity, or goodness of fit in contingency tables. Enter your own data as raw observations or as a contingency table. Obtain observed and expected counts, and find residuals.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The F Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fdist\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/fdist\" target=\"_blank\" rel=\"noopener\">The F Distribution<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the F distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">See how the shape of the F distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Normal Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\" target=\"_blank\" rel=\"noopener\">The Normal Distribution<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the normal distribution depends on the mean and standard deviation. Find and visualize one- and two-tailed probabilities and percentiles (critical values).&quot;}\">See how the shape of the normal distribution depends on the mean and standard deviation. Find and visualize one- and two-tailed probabilities and percentiles (critical values).<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Poisson Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/poissondist\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/poissondist\/\" target=\"_blank\" rel=\"noopener\">The Poisson Distribution<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore how the shape of the Poisson distribution depends on the parameter \u03bb (the mean). Find and visualize various kinds of probabilities.&quot;}\">Explore how the shape of the Poisson distribution depends on the parameter \u03bb (the mean). Find and visualize various kinds of probabilities.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The T Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/tdist\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/tdist\/\" target=\"_blank\" rel=\"noopener\">The T Distribution<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the t distribution depends on the degrees of freedom. Find and visualize one- and two-tailed probabilities and percentiles (critical values).&quot;}\">See how the shape of the t distribution depends on the degrees of freedom. Find and visualize one- and two-tailed probabilities and percentiles (critical values).<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<div class=\"textbox\">\r\n<h3><a id=\"datasets\"><\/a>Data Sets<\/h3>\r\n<p>These data sets appear throughout the course and sometimes are easier to work with as csv or excel files. They appear in alphabetical order but the associated modules are also listed.<\/p>\r\n<table style=\"border-collapse: collapse; width: 100%; height: 1733px;\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 50%; height: 18px;\"><strong>Data Set<\/strong><\/td>\r\n<td style=\"width: 50%; height: 18px;\"><strong>Modules<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Anova (One-Way)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/anova\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/candy_rankings_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Candy Rankings<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Obtain the ANOVA table, F-statistic and side-by-side boxplots to check assumptions. Carry out pairwise comparisons, including simultaneous confidence intervals for pairwise differences of means.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 83px;\">\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Association Between Two Categorical Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_categorical\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Cats_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Cats<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct 2 x 2 contingency tables, obtain conditional proportions, and get a bar graph. Find the difference or ratio of proportions to describe the strength of the association. Build the sampling distribution of the difference or ratio via resampling.&quot;}\">6<\/td>\r\n<\/tr>\r\n<tr style=\"height: 83px;\">\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Means&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Coffee_Ratings_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">Coffee Ratings<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population means. Enter your own data or summary statistics. Visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 83px;\">\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Proportions&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/dcbikeshare_winter_sample_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">DC Bikeshare Winter Sample<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population proportions. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Correlation Game&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/guesscorr\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/leadmoss_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Lead Moss<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Randomly generate scatterplots to guess the correlation coefficient r. Optionally, display the regression line. See how your guesses correlate with the actual values.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Categorical Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_categorical\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Maternal_Smoke_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">Maternal Smoke<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct frequency and contingency tables and bar graphs to explore distributions of categorical variables. For one or two categorical variables.&quot;}\">13<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Quantitative Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Maternal_Smoke_Sorted.xlsx\" target=\"_blank\" rel=\"noopener\">Maternal Smoke Sorted<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find summary statistics and construct interactive histograms, boxplots, dotplots, or stem-and leaf plots. For one, two, or more groups.&quot;}\">13<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Errors and Power in Significance Testing&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/power\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/nhanes_alldata_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">NHanes All Excel<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and explore relationships between Type I and Type II errors and the power of a test for proportions or means. See how they depend on sample size and the true values of population parameters.&quot;}\">5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Coverage of Confidence Intervals&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorecoverage\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/NHANES_FINAL.csv\" target=\"_blank\" rel=\"noopener\">NHanes All CSV<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;What does \\&quot;95% confidence\\&quot; mean? What affects the width of an interval? Explore these concepts for confidence intervals of proportions or means, using sliders to change parameters or the sample size.&quot;}\">5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorelinreg\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/nhanes_project_all_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">NHanes Project<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Create scatterplots from scratch by clicking in an empty plot to add or remove points. Investigate the effect of outliers on the correlation coefficient or regression line. Simulate linear or non-linear relationships.&quot;}\">5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px;\">\r\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Time Series Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/timeseries\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/nhanesYesNo_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">NHanes Yes No<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Plot a simple time series and add a smooth or linear trend. Use preloaded data or provide your own.&quot;}\">5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 83px;\">\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Exploring MutiVariate Relationships&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/multivariaterelationship\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Oscars_Age_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Oscars Age<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots to explore the relationship between two quantitative variables while accounting for a third (categorical or quantitative) grouping variable. Fit bivariate multiple linear regression models.&quot;}\">3<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fisher's Exact Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Penguins_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Penguins CSV<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and run Fisher's exact test for 2 x 2 contingency tables. Obtain the exact P-value for one- or two-sided tests.&quot;}\">3<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px;\">\r\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate Random Numbers&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/randomnumbers\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Penguins_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">Penguins Excel<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate random numbers or flips of a (biased) coin. Keep track of generated numbers with a bar chart.&quot;}\">3<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_mean\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/PepsiCo_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">PepsiCo<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population mean. Enter your own data or summary statistics. Use plots to check assumptions and visualize the interval or the P-value on a graph.&quot;}\">13<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\">\r\n<div>\r\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/PGA_Data_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">PGA<\/a><\/div>\r\n<\/div>\r\n<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population proportion. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph.&quot;}\">12<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/linear_regression\/\"><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1RYh3j9ajHfixrs-GdE1WYDUMcYZVspIF\/edit?usp=share_link&amp;ouid=110961602347256010508&amp;rtpof=true&amp;sd=true\">Yawn<\/a><\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fit a simple linear regression model and obtain the regression equation and related statistics such as r-squared. Make predictions and construct confidence intervals. Display and analyze residuals.&quot;}\">10<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Mean vs. Median&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/meanvsmedian\/\"><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1RNrSgz4olYbw92nfOLO8L3dYNGSuMJDl\/edit?usp=share_link&amp;ouid=110961602347256010508&amp;rtpof=true&amp;sd=true\">School Diversity<\/a><\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore the relationship between the mean and median for data derived from a variety of distributions or enter your own data.&quot;}\">9<\/td>\r\n<\/tr>\r\n<tr style=\"height: 83px;\">\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Relationship Between Two Quantitative Variables: The Correlation&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_quantitative\/\"><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1cBLRtnjU6u1JXNXdi7VGT0LPIe4PP6TR\/edit?usp=share_link&amp;ouid=110961602347256010508&amp;rtpof=true&amp;sd=true\">Reading Level<\/a><\/td>\r\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots, hover over points, move or remove points, and overlay a smooth trend line. Find the correlation coefficient r and see if it is robust to outliers. Build the sampling distribution of r via resampling.&quot;}\">12<\/td>\r\n<\/tr>\r\n<tr style=\"height: 99px;\">\r\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Continuous Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample proportion builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases or as the population proportion p changes. Overlay a normal distribution to explore the central limit theorem.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 99px;\">\r\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Discrete Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_discrete\/\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical continuous population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 99px;\">\r\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Proportion&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical discrete population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Binomial Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/binomialdist\/\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore how the shape of the binomial distribution depends on the parameter n (the sample size) and p (the probability of success in a Bernoulli trial). Find and visualize probabilities of various kinds.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisqdist\/\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the chi-squared distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 66px;\">\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Test for independence, homogeneity, or goodness of fit in contingency tables. Enter your own data as raw observations or as a contingency table. Obtain observed and expected counts, and find residuals.&quot;}\">X<\/td>\r\n<\/tr>\r\n<tr style=\"height: 49px;\">\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The F Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fdist\">\u00a0<\/td>\r\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the F distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">X<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<div class=\"textbox\">\r\n<h3 style=\"margin-top: 0;\"><a id=\"meet\"><\/a>Worked Example Videos<\/h3>\r\n<p><img class=\"wp-image-6458 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22133301\/Screen-Shot-2023-01-08-at-2.24.53-PM.png\" alt=\"\" width=\"300\" height=\"268\" \/>These three amazing instructors have recorded detailed solutions for embedded practice questions in their own style and voice. This gives you the ability to learn from an instructor who explains things in a way you just \"get\", or feel free to watch all three for a deeper understanding from multiple perspectives.<\/p>\r\n<p>When you see a box that says \"See Example\" and \"Select Instructor\", click on the dropdown menu next to \"Select Instructor\" and choose the instructor you'd like to watch. Then click the red box with the white arrow to play the video!<\/p>\r\n<p>Meet the Instructors:<\/p>\r\n<p>https:\/\/youtu.be\/8f0ttoD5_YM<\/p>\r\n<p>https:\/\/youtu.be\/kmhkGL593A8<\/p>\r\n<p>https:\/\/youtu.be\/SF7-Y-vr3Yw<\/p>\r\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\r\n<\/div>\r\n<p style=\"text-align: right;\">\u00a0<\/p>","rendered":"<h2 style=\"text-align: left;\"><a id=\"top\"><\/a><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4897 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22133259\/Information-tab-rafiki-e1671129794947.png\" alt=\"A student using a magnifying glass to get a closer look at the details in a data visualization.\" width=\"182\" height=\"163\" \/>Welcome, students!<\/h2>\n<p style=\"text-align: left;\">Here, you&#8217;ll find links to resources to support your learning in this course, including links to our Statistical Technology Tools &#8211; these tools are available in the learning content when you&#8217;ll need them, but you can always access them here for other assignments.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>JUMP TO<\/strong>: <a class=\"anchorLink\" href=\"#cheatsheets\">Cheat Sheets<\/a>\u00a0<strong>| <\/strong><a class=\"anchorLink\" href=\"#notes\">Guided Notes<\/a>\u00a0<strong>| <\/strong><a class=\"anchorLink\" href=\"#practiceproblems\">Get Stronger Practice Pages<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>|<\/strong><\/span> <br \/>\n<a class=\"anchorLink\" href=\"#statstools\">Statistical Technology Tools<\/a> <span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#datasets\">Data Set Files<\/a>\u00a0<\/span><span style=\"color: #800080;\"><strong>| <\/strong><a class=\"anchorLink\" href=\"#meet\">Meet Our Instructors<\/a><\/span><\/p>\n<p style=\"text-align: center;\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/p>\n<section class=\"textbox\">\n<h3><a id=\"cheatsheets\"><\/a>Cheat Sheets<\/h3>\n<p>These quick-reference notes bring together the most important takeaways from each module in one place. Each cheat sheet highlights essential concepts and provides a glossary of key terms. They\u2019re designed to make studying more efficient by giving you a condensed version of the material so you can review with confidence.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+1_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 1 Cheat Sheet: Thinking Statistically and Collecting Data<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+2_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 2 Cheat Sheet: Statistical Studies<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+3_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 3 Cheat Sheet: Describing Data Graphically<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+4_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 4 Cheat Sheet: Describing Data Numerically<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+5_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 5 Cheat Sheet: Modeling and Analysis of Bivariate Data<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+6_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 6 Cheat Sheet: Probability<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+7_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 7 Cheat Sheet: The Normal Distribution<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+8_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 8 Cheat Sheet: Introduction to Sampling Distributions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+9_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 9 Cheat Sheet: Confidence Intervals for Population Proportions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+10_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 10 Cheat Sheet: Hypothesis Testing for a Population Proportions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+11_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 11 Cheat Sheet: Confidence Intervals for Population Means<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+12_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 12 Cheat Sheet: Hypothesis Testing for Population Means<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+13_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 13 Cheat Sheet: Analysis of Variance<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+14_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 14 Cheat Sheet: Chi-Square Statistics<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+15_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 15 Cheat Sheet: Inferences Concerning Regression Models<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+16_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 16 Cheat Sheet: Multiple Linear Regression<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+17_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 17 Cheat Sheet: Bootstrap and Simulation-Based Statistics<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+18_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 18 Cheat Sheet: Additional Concepts in Probability<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Cheat+Sheets\/Module+19_+Cheat+Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Module 19 Cheat Sheet: Additional Concepts in Probability Distributions<\/a><\/p>\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\n<\/section>\n<section class=\"textbox\">\n<h3><a id=\"notes\"><\/a>Guided Notes<\/h3>\n<p>These notes are designed to help you follow along with the material if you find that helpful. Use them as you listen to a class lecture or as you make your way through the Study Plan. You\u2019re welcome to print these guided notes, modify them, or skim them while studying \u2013 it\u2019s entirely up to you. They\u2019re not about taking perfect notes or completing an assignment to turn in. \u00a0They will help you process and remember information so that you can later apply your knowledge and build on it.<\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/14qIbVAkc5OBF146hEGDR_bL0wLNr6qNDNyd6q9gpwhM\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 1 Guided Notes: Thinking Statistically and Collecting Data<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1mApEUvk8seYuwNBpAgfJZiTC4cWt_pqgnRpy3b6A82A\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 2 Guided Notes: Statistical Studies<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1n3XZFUk_djfaPIa75sTqjW8oF_c3STt1OmWbHFyn2NU\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 3 Guided Notes: Describing Data Graphically<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1G4ivpeGEp9ZiX1zohIVOooCYEsWp-Qf5VfrFA5Avjf8\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 4 Guided Notes: Describing Data Numerically<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1m1F_dcEreGG1b0Wra9f9BgBisBQoSK_kfzvXxJo-aiE\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 5 Guided Notes: Modeling and Analysis of Bivariate Data<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1BzZkhTHaJMYNu1GIabpLvTCYQsJsXwo7l9N95sJtloo\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 6 Guided Notes: Probability<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1-EMfILZU3lar4hHjyzIjJeMyQPpa0dBj8Iw8fpDUdkc\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 7 Guided Notes: The Normal Distribution<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1Y5swwZsYvmdCZFskJ0XQu_ylQQHNsukgLOA_VD3zWF0\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 8 Guided Notes: Introduction to Sampling Distributions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1rXSIC1FRRtOY49JrG2C_SA9L0W73rK7V0YQ-0mNfcYw\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 9 Guided Notes: Confidence Intervals for Population Proportions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1fhoPjETEPgajZMQjurFc_c23MyL6W530xxKGmWKfSRs\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 10 Guided Notes: Hypothesis Testing for a Population Proportions<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/12zKke8idUbiMxQelQv969u8WbYTSnduX2vASeRlbtx8\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 11 Guided Notes: Confidence Intervals for Population Means<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1XqRAz7WNvDb4jR0qhkc279QaW7bqUQ0mnWGGBUMbRRY\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 12 Guided Notes: Hypothesis Testing for Population Means<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1ZmQR4QrqVTOF2uKfPoMsQDnjsUpUSrSQhGzkDTUKMxE\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 13 Guided Notes: Analysis of Variance<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1UU2wC_aNtxxNzgXARY1z1mskx7YO2L-zwFQ2SNvpi6Y\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 14 Guided Notes: Chi-Square Statistics<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1PCfSBBdexFI_8Ie35Gj5XOBHZihiEuWuU4D_FabQzdk\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 15 Guided Notes: Inferences Concerning Regression Models<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1wweNKLKT-Ke12GeP9Xt2X2wTvN59-F5xhjskETBumMQ\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 16 Guided Notes: Multiple Linear Regression<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1a2El4-xNwiS1xpn_3zv0FsiWFmX8zcrsIdxT-wI1nho\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 17 Guided Notes: Bootstrap and Simulation-Based Statistics<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/1QaC692zkMBtbRQSDA4dBFMpjehjIJOWgOEq-iU4dSP0\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 18 Guided Notes: Additional Concepts in Probability<\/a><\/p>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/docs.google.com\/document\/d\/146gM3APOeSmdg8qaKGLjxc_Vj19SLNgIPCzUz1MfoXM\/edit?usp=drive_link\" target=\"_blank\" rel=\"noopener\">Module 19 Guided Notes: Additional Concepts in Probability Distributions<\/a><\/p>\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\n<\/section>\n<div class=\"textbox\">\n<h3><a id=\"practiceproblems\"><\/a>Get Stronger: Practice Pages<\/h3>\n<p>Additional practice problems that help develop a deeper understanding of the concepts in the Learn It and Apply It.<\/p>\n<h4>Module 1<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+1\/Data+Collection+and+Organization.pdf\" target=\"_blank\" rel=\"noopener\">Data Collection and Organization<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+1\/Statistical+Questions.pdf\" target=\"_blank\" rel=\"noopener\">Statistical Questions<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Student_Random_Sampling.pdf\" target=\"_blank\" rel=\"noopener\">Random Sampling<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Sampling+Methods.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Methods<\/a><\/li>\n<\/ul>\n<h4>Module 2<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Experimental+Design.pdf\" target=\"_blank\" rel=\"noopener\">Experimental Design<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Observational+Studies.pdf\" target=\"_blank\" rel=\"noopener\">Observational Studies<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+2\/Advanced+Experimental+Design.pdf\" target=\"_blank\" rel=\"noopener\">Advanced Experimental Design<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+5\/Complex+Graphical+Displays.pdf\" target=\"_blank\" rel=\"noopener\">Complex Graphical Displays<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+5\/Effective+Visualizations.pdf\" target=\"_blank\" rel=\"noopener\">Effective Visualizations<\/a><\/li>\n<\/ul>\n<h4>Module 3<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Displaying_Categorical_Data.pdf\" target=\"_blank\" rel=\"noopener\">Displaying Categorical Data<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Applications%2Bof%2BBar%2BGraphs.pdf\" target=\"_blank\" rel=\"noopener\">Applications of Bar Graphs<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Visualizing_Quantitative_Data.pdf\" target=\"_blank\" rel=\"noopener\">Visualizing Quantitative Data<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Distribution_of_Quantitative_Variables.pdf\" target=\"_blank\" rel=\"noopener\">Distribution of Quantitative Variables<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+3\/Student_Module_3_Getting_Stronger_Comparing_Quantitative_Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Comparing Quantitative Distributions<\/a><\/li>\n<\/ul>\n<h4>Module 4<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Student_Module_4_Getting_Stronger_Measures_of_Center.pdf\" target=\"_blank\" rel=\"noopener\">Measures of Center<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Interpretation+of+Mean+and+Median.pdf\" target=\"_blank\" rel=\"noopener\">Interpreting the Mean and Median<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Boxplot+Data+and+Displays.pdf\" target=\"_blank\" rel=\"noopener\">Boxplot Data and Displays<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Measures+of+Variability.pdf\" target=\"_blank\" rel=\"noopener\">Measures of Variability<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+4\/Student_Module_4_Getting_Stronger_Z-Score_and_the_Empirical_Rule.pdf\" target=\"_blank\" rel=\"noopener\">Z-Score and the Empirical Rule<\/a><\/li>\n<\/ul>\n<h4>Module 5<\/h4>\n<div id=\"inline10\" class=\"item\">\n<div class=\"itemsum\">\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+5\/Student_Module_5_Getting_Stronger_Scatterplot.pdf\" target=\"_blank\" rel=\"noopener\">Scatterplots<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Line_of_Best_Fit.pdf\" target=\"_blank\" rel=\"noopener\">Line of Best Fit<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Equation_of_the_Line_of_Best_Fit.pdf\" target=\"_blank\" rel=\"noopener\">Equation of the Line of Best Fit<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Coefficient_of_Determination.pdf\" target=\"_blank\" rel=\"noopener\">Coefficient of Determination<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Assessing_the_Fit_of_a_Line.pdf\" target=\"_blank\" rel=\"noopener\">Assessing the Fit of a Line<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+6\/Student_Module_6_Getting_Stronger_Making_Predictions.pdf\" target=\"_blank\" rel=\"noopener\">Making Predictions<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h4>Module 6<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Student_Module_7_Getting_Stronger_Probability.pdf\" target=\"_blank\" rel=\"noopener\">Probability<\/a><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Probability.pdf\" target=\"_blank\" rel=\"noopener\"><br \/>\n<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Probabilities+of+Two+Events.pdf\" target=\"_blank\" rel=\"noopener\">Probabilities of Two Events<\/a><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Probability.pdf\" target=\"_blank\" rel=\"noopener\"><br \/>\n<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/Conditional+Probabilities.pdf\" target=\"_blank\" rel=\"noopener\">Conditional Probabilities<\/a><\/li>\n<\/ul>\n<h4>Module 7<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Probability+Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Probability Distributions<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Student_Module_8_Getting_Stronger_Normal_Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Normal Distribution<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Normal+Distributions+(Continued).pdf\" target=\"_blank\" rel=\"noopener\">Normal Distribution (continued)<\/a><\/li>\n<\/ul>\n<h4>Module 8<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+9\/Student_Module_9_Getting_Stronger_Inference_Basics.pdf\" target=\"_blank\" rel=\"noopener\">Inference Basics<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+9\/Student_Module_9_Getting_Stronger_Sampling_Distribution_of_a_Sample_Proportion.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of a Sample Proportion<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+9\/Student_Module_9_Getting_Stronger_Sampling_Variability.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Variability<\/a><\/li>\n<\/ul>\n<h4><span style=\"font-family: 'Public Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;\">Module 9<\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Student_Module_10_Getting_Stronger_Confidence_Interval_for_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Proportions<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Confidence+Intervals+for+Proportions+(Continued).pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Proportions (continued)<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Sample+Size+for+Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Sample Size for Proportions<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+10\/Student_Module_10_Getting_Stronger_Confidence_Intervals_for_the_Difference_in_Population_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Intervals for the Difference in Population Proportions<\/a><\/li>\n<\/ul>\n<h4><span style=\"font-family: 'Public Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;\">Module 10<\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Null+and+Alternative+Hypotheses.pdf\" target=\"_blank\" rel=\"noopener\">Null and Alternative Hypotheses<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Test+Statistics.pdf\" target=\"_blank\" rel=\"noopener\">Test Statistics<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_P-Value.pdf\" target=\"_blank\" rel=\"noopener\">P-Value<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_One-Sample_Hypothesis_Test_for_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">One-Sample Hypothesis Test for Proportions<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_Errors_in_Hypothesis_Testing.pdf\" target=\"_blank\" rel=\"noopener\">Errors in Hypothesis Testing<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_Two_Sample_Test_for_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Two-Sample Test for Proportions<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+11\/Student_Module_11_Getting_Stronger_Connecting_Tests_and_Intervals.pdf\" target=\"_blank\" rel=\"noopener\">Connecting Tests and Intervals<\/a><\/li>\n<\/ul>\n<h4>Module 11<\/h4>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_Sampling_Distribution_of_a_Sample_Mean.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of a Sample Mean<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_T-Distribution.pdf\" target=\"_blank\" rel=\"noopener\">t-distribution<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_Confidence_Interval_for_a_Population_Mean.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Population Mean<\/a><\/li>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+12\/Student_Module_12_Getting_Stronger_Confidence_Interval_for_Difference_in_Population_Means.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval for Difference in Population Means<\/a><\/li>\n<\/ul>\n<h4>Module 12<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Null+and+Alternative+Hypothesis+for+Means.pdf\" target=\"_blank\" rel=\"noopener\">Null and Alternative Hypothesis for Means<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Student_Module_13_Getting_Stronger_One-Sample_Hypothesis_Test_for_Means.pdf\" target=\"_blank\" rel=\"noopener\">One-Sample Hypothesis Test for Means<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Student_Module_13_Getting_Stronger_Comparing_Two_Population_Means_(Independent_Samples).pdf\" target=\"_blank\" rel=\"noopener\">Comparing Two Population Means (Independent Samples)<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+13\/Student_Module_13_Getting_Stronger_Comparing_Two_Population_Means_(Dependent_Samples).pdf\" target=\"_blank\" rel=\"noopener\">Comparing Two Population Means (Dependent Samples)<\/a><\/p>\n<h4>Module 13<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/Introduction+to+One-Way+ANOVA.pdf\" target=\"_blank\" rel=\"noopener\">Introduction to One-Way ANOVA<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/Student_Module_14_Getting_Stronger_Conditions_for_ANOVA.pdf\" target=\"_blank\" rel=\"noopener\">Conditions for ANOVA<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/ANOVA.pdf\" target=\"_blank\" rel=\"noopener\">ANOVA<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+14\/Student_Module_14_Getting_Stronger_ANOVA_with_Technology.pdf\" target=\"_blank\" rel=\"noopener\">Pair-wise Comparisons for ANOVA<\/a><\/p>\n<h4>Module 14<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Introduction_to_Chi-Square_Statistics.pdf\" target=\"_blank\" rel=\"noopener\">Introduction to Chi-Square Statistics<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Chi-Square_Test_for_Goodness_of_Fit.pdf\" target=\"_blank\" rel=\"noopener\">Chi-Square Test for Goodness of Fit\u00a0<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Chi-Square_Test_of_Homogeneity.pdf\" target=\"_blank\" rel=\"noopener\">Chi-Square Test of Homogeneity<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Chi-Square_Test_of_Independence.pdf\" target=\"_blank\" rel=\"noopener\">Chi-Square Test of Independence<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+15\/Student_Module_15_Getting_Stronger_Fishers_Exact_Test.pdf\" target=\"_blank\" rel=\"noopener\">Fisher&#8217;s Exact Test<\/a><\/p>\n<h4>Module 15<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_Test_for_Significance_of_Slope.pdf\" target=\"_blank\" rel=\"noopener\">Test for Significance of Slope<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_ANOVA_for_Regression.pdf\" target=\"_blank\" rel=\"noopener\">ANOVA for Regression<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_Confidence_Interval_and_Prediction_Interval.pdf\" target=\"_blank\" rel=\"noopener\">Confidence Interval and Prediction Interval<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+16\/Student_Module_16_Getting_Stronger_Transforming_Data.pdf\" target=\"_blank\" rel=\"noopener\">Transforming Data<\/a><\/p>\n<h4>Module 16<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+17\/Student_Module_17_Getting_Stronger_Multiple_Linear_Regression.pdf\" target=\"_blank\" rel=\"noopener\">Multiple Linear Regression<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+17\/Student_Module_17_Getting_Stronger_Indicator_Variable.pdf\" target=\"_blank\" rel=\"noopener\">Indicator Variable<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+17\/Student_Module_17_Getting_Stronger_Interaction_Terms.pdf\" target=\"_blank\" rel=\"noopener\">Interaction Terms<\/a><\/p>\n<h4>Module 17<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Bootstrap_Distribution_and_Confidence_Interval_for_Population_Mean.pdf\" target=\"_blank\" rel=\"noopener\">Bootstrap Distribution and Confidence Interval for a Population Mean<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Bootstrap_Confidence_Interval.pdf\" target=\"_blank\" rel=\"noopener\">Bootstrap Confidence Interval<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Simulation-Based_Hypothesis_Test_for_a_Population_Proportion.pdf\" target=\"_blank\" rel=\"noopener\">Simulation-Based Hypothesis Test for a Population Proportion<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+18\/Student_Module_18_Getting_Stronger_Simulation-Based_Hypothesis_Test_for_a_Difference_in_Proportions.pdf\" target=\"_blank\" rel=\"noopener\">Simulation-Based Hypothesis Test for a Difference in Proportions<\/a><\/p>\n<h4>Module 18<\/h4>\n<h4>Module 19<\/h4>\n<p style=\"padding-left: 40px;\"><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Discrete+Probability+Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Discrete Probability Distributions<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Student_Module_8_Getting_Stronger_Binomial_Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Binomial Distribution<\/a><br \/>\n<a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+8\/Connection+between+Binomial+and+Normal+Distributions.pdf\" target=\"_blank\" rel=\"noopener\">Connection Between Binomial and Normal Distributions<\/a><\/p>\n<p>Additional Practice:<\/p>\n<ul>\n<li><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Getting+Stronger\/Module+7\/More+Conditional+Probabilities.pdf\" target=\"_blank\" rel=\"noopener\">More Conditional Probabilities<\/a><\/li>\n<\/ul>\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\n<\/div>\n<div class=\"textbox\">\n<h3><a id=\"statstools\"><\/a>Statistical Technology Tools<\/h3>\n<p>These tools are linked throughout the course so you can solve problems and visualize data in different ways. You can access each tool directly via the links below.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 720px;\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"width: 50%; height: 18px;\"><strong>Tool Name<\/strong><\/td>\n<td style=\"width: 50%; height: 18px;\"><strong>Description<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Anova (One-Way)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/anova\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/anova\/\" target=\"_blank\" rel=\"noopener\">Anova (One-Way)<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Obtain the ANOVA table, F-statistic and side-by-side boxplots to check assumptions. Carry out pairwise comparisons, including simultaneous confidence intervals for pairwise differences of means.&quot;}\">Obtain the ANOVA table, F-statistic and side-by-side boxplots to check assumptions. Carry out pairwise comparisons, including simultaneous confidence intervals for pairwise differences of means.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Association Between Two Categorical Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_categorical\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/association_categorical\/\" target=\"_blank\" rel=\"noopener\">Association Between Two Categorical Variables<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct 2 x 2 contingency tables, obtain conditional proportions, and get a bar graph. Find the difference or ratio of proportions to describe the strength of the association. Build the sampling distribution of the difference or ratio via resampling.&quot;}\">Construct 2 x 2 contingency tables, obtain conditional proportions, and get a bar graph. Find the difference or ratio of proportions to describe the strength of the association. Build the sampling distribution of the difference or ratio via resampling.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Means&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\" target=\"_blank\" rel=\"noopener\">Compare Two Population Means<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population means. Enter your own data or summary statistics. Visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">Confidence intervals or hypothesis tests about the difference of two population means. Enter your own data or summary statistics. Visualize the interval or the P-value on a graph. For two independent or two dependent samples.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Proportions&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\" target=\"_blank\" rel=\"noopener\">Compare Two Population Proportions<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population proportions. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">Confidence intervals or hypothesis tests about the difference of two population proportions. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph. For two independent or two dependent samples.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Correlation Game&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/guesscorr\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/guesscorr\/\" target=\"_blank\" rel=\"noopener\">Correlation Game<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Randomly generate scatterplots to guess the correlation coefficient r. Optionally, display the regression line. See how your guesses correlate with the actual values.&quot;}\">Randomly generate scatterplots to guess the correlation coefficient r. Optionally, display the regression line. See how your guesses correlate with the actual values.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Categorical Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_categorical\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/eda_categorical\/\" target=\"_blank\" rel=\"noopener\">Describing &amp; Exploring Categorical Data<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct frequency and contingency tables and bar graphs to explore distributions of categorical variables. For one or two categorical variables.&quot;}\">Construct frequency and contingency tables and bar graphs to explore distributions of categorical variables. For one or two categorical variables.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Quantitative Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Describing &amp; Exploring Quantitative Variables<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find summary statistics and construct interactive histograms, boxplots, dotplots, or stem-and leaf plots. For one, two, or more groups.&quot;}\">Find summary statistics and construct interactive histograms, boxplots, dotplots, or stem-and leaf plots. For one, two, or more groups.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Errors and Power in Significance Testing&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/power\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/power\/\" target=\"_blank\" rel=\"noopener\">Errors and Power in Significance Testing<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and explore relationships between Type I and Type II errors and the power of a test for proportions or means. See how they depend on sample size and the true values of population parameters.&quot;}\">Visualize and explore relationships between Type I and Type II errors and the power of a test for proportions or means. See how they depend on sample size and the true values of population parameters.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Coverage of Confidence Intervals&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorecoverage\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/explorecoverage\/\" target=\"_blank\" rel=\"noopener\">Explore Coverage of Confidence Intervals<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;What does \\&quot;95% confidence\\&quot; mean? What affects the width of an interval? Explore these concepts for confidence intervals of proportions or means, using sliders to change parameters or the sample size.&quot;}\">What does &#8220;95% confidence&#8221; mean? What affects the width of an interval? Explore these concepts for confidence intervals of proportions or means, using sliders to change parameters or the sample size.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorelinreg\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/explorelinreg\/\" target=\"_blank\" rel=\"noopener\">Explore Linear Regression<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Create scatterplots from scratch by clicking in an empty plot to add or remove points. Investigate the effect of outliers on the correlation coefficient or regression line. Simulate linear or non-linear relationships.&quot;}\">Create scatterplots from scratch by clicking in an empty plot to add or remove points. Investigate the effect of outliers on the correlation coefficient or regression line. Simulate linear or non-linear relationships.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Time Series Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/timeseries\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/timeseries\/\" target=\"_blank\" rel=\"noopener\">Explore Time Series Data<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Plot a simple time series and add a smooth or linear trend. Use preloaded data or provide your own.&quot;}\">Plot a simple time series and add a smooth or linear trend. Use preloaded data or provide your own.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Exploring MutiVariate Relationships&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/multivariaterelationship\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/multivariaterelationship\/\" target=\"_blank\" rel=\"noopener\">Exploring MutiVariate Relationships<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots to explore the relationship between two quantitative variables while accounting for a third (categorical or quantitative) grouping variable. Fit bivariate multiple linear regression models.&quot;}\">Construct interactive scatterplots to explore the relationship between two quantitative variables while accounting for a third (categorical or quantitative) grouping variable. Fit bivariate multiple linear regression models.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fisher's Exact Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\" target=\"_blank\" rel=\"noopener\">Fisher&#8217;s Exact Test<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and run Fisher's exact test for 2 x 2 contingency tables. Obtain the exact P-value for one- or two-sided tests.&quot;}\">Visualize and run Fisher&#8217;s exact test for 2 x 2 contingency tables. Obtain the exact P-value for one- or two-sided tests.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate Random Numbers&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/randomnumbers\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/randomnumbers\/\" target=\"_blank\" rel=\"noopener\">Generate Random Numbers<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate random numbers or flips of a (biased) coin. Keep track of generated numbers with a bar chart.&quot;}\">Generate random numbers or flips of a (biased) coin. Keep track of generated numbers with a bar chart.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_mean\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/inference_mean\/\" target=\"_blank\" rel=\"noopener\">Inference for a Population Mean<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population mean. Enter your own data or summary statistics. Use plots to check assumptions and visualize the interval or the P-value on a graph.&quot;}\">Find confidence intervals or test hypotheses about a population mean. Enter your own data or summary statistics. Use plots to check assumptions and visualize the interval or the P-value on a graph.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\" target=\"_blank\" rel=\"noopener\">Inference for a Population Proportion<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population proportion. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph.&quot;}\">Find confidence intervals or test hypotheses about a population proportion. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/linear_regression\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/linear_regression\/\" target=\"_blank\" rel=\"noopener\">Linear Regression<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fit a simple linear regression model and obtain the regression equation and related statistics such as r-squared. Make predictions and construct confidence intervals. Display and analyze residuals.&quot;}\">Fit a simple linear regression model and obtain the regression equation and related statistics such as r-squared. Make predictions and construct confidence intervals. Display and analyze residuals.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Mean vs. Median&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/meanvsmedian\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/meanvsmedian\/\" target=\"_blank\" rel=\"noopener\">Mean vs. Median<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore the relationship between the mean and median for data derived from a variety of distributions or enter your own data.&quot;}\">Explore the relationship between the mean and median for data derived from a variety of distributions or enter your own data.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Relationship Between Two Quantitative Variables: The Correlation&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_quantitative\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/association_quantitative\/\" target=\"_blank\" rel=\"noopener\">Relationship Between Two Quantitative Variables: The Correlation<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots, hover over points, move or remove points, and overlay a smooth trend line. Find the correlation coefficient r and see if it is robust to outliers. Build the sampling distribution of r via resampling.&quot;}\">Construct interactive scatterplots, hover over points, move or remove points, and overlay a smooth trend line. Find the correlation coefficient r and see if it is robust to outliers. Build the sampling distribution of r via resampling.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Continuous Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of the Sample Mean (Continuous Population)<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample proportion builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases or as the population proportion p changes. Overlay a normal distribution to explore the central limit theorem.&quot;}\">Experience how the sampling distribution of the sample proportion builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases or as the population proportion p changes. Overlay a normal distribution to explore the central limit theorem.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Discrete Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_discrete\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_discrete\/\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of the Sample Mean (Discrete Population)<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical continuous population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical continuous population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Proportion&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" target=\"_blank\" rel=\"noopener\">Sampling Distribution of the Sample Proportion<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical discrete population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical discrete population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Binomial Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/binomialdist\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/binomialdist\/\" target=\"_blank\" rel=\"noopener\">The Binomial Distribution<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore how the shape of the binomial distribution depends on the parameter n (the sample size) and p (the probability of success in a Bernoulli trial). Find and visualize probabilities of various kinds.&quot;}\">Explore how the shape of the binomial distribution depends on the parameter n (the sample size) and p (the probability of success in a Bernoulli trial). Find and visualize probabilities of various kinds.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisqdist\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/chisqdist\/\" target=\"_blank\" rel=\"noopener\">The Chi-Squared Distribution<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the chi-squared distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">See how the shape of the chi-squared distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\" target=\"_blank\" rel=\"noopener\">The Chi-Squared Test<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Test for independence, homogeneity, or goodness of fit in contingency tables. Enter your own data as raw observations or as a contingency table. Obtain observed and expected counts, and find residuals.&quot;}\">Test for independence, homogeneity, or goodness of fit in contingency tables. Enter your own data as raw observations or as a contingency table. Obtain observed and expected counts, and find residuals.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The F Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fdist\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/fdist\" target=\"_blank\" rel=\"noopener\">The F Distribution<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the F distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">See how the shape of the F distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Normal Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\" target=\"_blank\" rel=\"noopener\">The Normal Distribution<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the normal distribution depends on the mean and standard deviation. Find and visualize one- and two-tailed probabilities and percentiles (critical values).&quot;}\">See how the shape of the normal distribution depends on the mean and standard deviation. Find and visualize one- and two-tailed probabilities and percentiles (critical values).<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Poisson Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/poissondist\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/poissondist\/\" target=\"_blank\" rel=\"noopener\">The Poisson Distribution<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore how the shape of the Poisson distribution depends on the parameter \u03bb (the mean). Find and visualize various kinds of probabilities.&quot;}\">Explore how the shape of the Poisson distribution depends on the parameter \u03bb (the mean). Find and visualize various kinds of probabilities.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The T Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/tdist\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/lumen-learning.shinyapps.io\/tdist\/\" target=\"_blank\" rel=\"noopener\">The T Distribution<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the t distribution depends on the degrees of freedom. Find and visualize one- and two-tailed probabilities and percentiles (critical values).&quot;}\">See how the shape of the t distribution depends on the degrees of freedom. Find and visualize one- and two-tailed probabilities and percentiles (critical values).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div class=\"textbox\">\n<h3><a id=\"datasets\"><\/a>Data Sets<\/h3>\n<p>These data sets appear throughout the course and sometimes are easier to work with as csv or excel files. They appear in alphabetical order but the associated modules are also listed.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 1733px;\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"width: 50%; height: 18px;\"><strong>Data Set<\/strong><\/td>\n<td style=\"width: 50%; height: 18px;\"><strong>Modules<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Anova (One-Way)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/anova\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/candy_rankings_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Candy Rankings<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Obtain the ANOVA table, F-statistic and side-by-side boxplots to check assumptions. Carry out pairwise comparisons, including simultaneous confidence intervals for pairwise differences of means.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 83px;\">\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Association Between Two Categorical Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_categorical\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Cats_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Cats<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct 2 x 2 contingency tables, obtain conditional proportions, and get a bar graph. Find the difference or ratio of proportions to describe the strength of the association. Build the sampling distribution of the difference or ratio via resampling.&quot;}\">6<\/td>\n<\/tr>\n<tr style=\"height: 83px;\">\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Means&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Coffee_Ratings_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">Coffee Ratings<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population means. Enter your own data or summary statistics. Visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 83px;\">\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Compare Two Population Proportions&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/2sample_prop\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/dcbikeshare_winter_sample_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">DC Bikeshare Winter Sample<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Confidence intervals or hypothesis tests about the difference of two population proportions. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph. For two independent or two dependent samples.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Correlation Game&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/guesscorr\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/leadmoss_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Lead Moss<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Randomly generate scatterplots to guess the correlation coefficient r. Optionally, display the regression line. See how your guesses correlate with the actual values.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Categorical Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_categorical\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Maternal_Smoke_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">Maternal Smoke<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct frequency and contingency tables and bar graphs to explore distributions of categorical variables. For one or two categorical variables.&quot;}\">13<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Describing &amp; Exploring Quantitative Variables&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Maternal_Smoke_Sorted.xlsx\" target=\"_blank\" rel=\"noopener\">Maternal Smoke Sorted<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find summary statistics and construct interactive histograms, boxplots, dotplots, or stem-and leaf plots. For one, two, or more groups.&quot;}\">13<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Errors and Power in Significance Testing&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/power\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/nhanes_alldata_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">NHanes All Excel<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and explore relationships between Type I and Type II errors and the power of a test for proportions or means. See how they depend on sample size and the true values of population parameters.&quot;}\">5<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Coverage of Confidence Intervals&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorecoverage\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/NHANES_FINAL.csv\" target=\"_blank\" rel=\"noopener\">NHanes All CSV<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;What does \\&quot;95% confidence\\&quot; mean? What affects the width of an interval? Explore these concepts for confidence intervals of proportions or means, using sliders to change parameters or the sample size.&quot;}\">5<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/explorelinreg\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/nhanes_project_all_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">NHanes Project<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Create scatterplots from scratch by clicking in an empty plot to add or remove points. Investigate the effect of outliers on the correlation coefficient or regression line. Simulate linear or non-linear relationships.&quot;}\">5<\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore Time Series Data&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/timeseries\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/nhanesYesNo_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">NHanes Yes No<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Plot a simple time series and add a smooth or linear trend. Use preloaded data or provide your own.&quot;}\">5<\/td>\n<\/tr>\n<tr style=\"height: 83px;\">\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Exploring MutiVariate Relationships&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/multivariaterelationship\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Oscars_Age_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Oscars Age<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots to explore the relationship between two quantitative variables while accounting for a third (categorical or quantitative) grouping variable. Fit bivariate multiple linear regression models.&quot;}\">3<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fisher's Exact Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fisherexact\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Penguins_FINAL.csv\" target=\"_blank\" rel=\"noopener\">Penguins CSV<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Visualize and run Fisher's exact test for 2 x 2 contingency tables. Obtain the exact P-value for one- or two-sided tests.&quot;}\">3<\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate Random Numbers&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/randomnumbers\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/Penguins_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">Penguins Excel<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 33px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Generate random numbers or flips of a (biased) coin. Keep track of generated numbers with a bar chart.&quot;}\">3<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_mean\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/PepsiCo_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">PepsiCo<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population mean. Enter your own data or summary statistics. Use plots to check assumptions and visualize the interval or the P-value on a graph.&quot;}\">13<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Inference for a Population Mean&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/inference_prop\/\">\n<div>\n<div><a class=\"in-cell-link\" href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Statistics+Exemplar\/Data+Set+Files\/PGA_Data_FINAL.xlsx\" target=\"_blank\" rel=\"noopener\">PGA<\/a><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find confidence intervals or test hypotheses about a population proportion. Obtain the margin of error or the z-test statistic and visualize the interval or the P-value on a graph.&quot;}\">12<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Linear Regression&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/linear_regression\/\"><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1RYh3j9ajHfixrs-GdE1WYDUMcYZVspIF\/edit?usp=share_link&amp;ouid=110961602347256010508&amp;rtpof=true&amp;sd=true\">Yawn<\/a><\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Fit a simple linear regression model and obtain the regression equation and related statistics such as r-squared. Make predictions and construct confidence intervals. Display and analyze residuals.&quot;}\">10<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Mean vs. Median&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/meanvsmedian\/\"><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1RNrSgz4olYbw92nfOLO8L3dYNGSuMJDl\/edit?usp=share_link&amp;ouid=110961602347256010508&amp;rtpof=true&amp;sd=true\">School Diversity<\/a><\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore the relationship between the mean and median for data derived from a variety of distributions or enter your own data.&quot;}\">9<\/td>\n<\/tr>\n<tr style=\"height: 83px;\">\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Relationship Between Two Quantitative Variables: The Correlation&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/association_quantitative\/\"><a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1cBLRtnjU6u1JXNXdi7VGT0LPIe4PP6TR\/edit?usp=share_link&amp;ouid=110961602347256010508&amp;rtpof=true&amp;sd=true\">Reading Level<\/a><\/td>\n<td style=\"width: 50%; height: 83px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Construct interactive scatterplots, hover over points, move or remove points, and overlay a smooth trend line. Find the correlation coefficient r and see if it is robust to outliers. Build the sampling distribution of r via resampling.&quot;}\">12<\/td>\n<\/tr>\n<tr style=\"height: 99px;\">\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Continuous Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\">\u00a0<\/td>\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample proportion builds up one sample at a time. Use sliders to explore the shape of the sampling distribution as the sample size n increases or as the population proportion p changes. Overlay a normal distribution to explore the central limit theorem.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 99px;\">\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Mean (Discrete Population)&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_discrete\/\">\u00a0<\/td>\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical continuous population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 99px;\">\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Sampling Distribution of the Sample Proportion&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\">\u00a0<\/td>\n<td style=\"width: 50%; height: 99px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Experience how the sampling distribution of the sample mean builds up one sample at a time. Use a variety of real or theoretical discrete population distributions (or create your own) from which to draw samples. Use sliders to gain a deeper understanding of the central limit theorem.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Binomial Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/binomialdist\/\">\u00a0<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explore how the shape of the binomial distribution depends on the parameter n (the sample size) and p (the probability of success in a Bernoulli trial). Find and visualize probabilities of various kinds.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisqdist\/\">\u00a0<\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the chi-squared distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 66px;\">\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The Chi-Squared Test&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/chisquaredtest\/\">\u00a0<\/td>\n<td style=\"width: 50%; height: 66px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Test for independence, homogeneity, or goodness of fit in contingency tables. Enter your own data as raw observations or as a contingency table. Obtain observed and expected counts, and find residuals.&quot;}\">X<\/td>\n<\/tr>\n<tr style=\"height: 49px;\">\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;The F Distribution&quot;}\" data-sheets-hyperlink=\"https:\/\/lumen-learning.shinyapps.io\/fdist\">\u00a0<\/td>\n<td style=\"width: 50%; height: 49px;\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;See how the shape of the F distribution depends on the degrees of freedom. Find and visualize probabilities and percentiles (critical values).&quot;}\">X<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div class=\"textbox\">\n<h3 style=\"margin-top: 0;\"><a id=\"meet\"><\/a>Worked Example Videos<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6458 alignright\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22133301\/Screen-Shot-2023-01-08-at-2.24.53-PM.png\" alt=\"\" width=\"300\" height=\"268\" \/>These three amazing instructors have recorded detailed solutions for embedded practice questions in their own style and voice. This gives you the ability to learn from an instructor who explains things in a way you just &#8220;get&#8221;, or feel free to watch all three for a deeper understanding from multiple perspectives.<\/p>\n<p>When you see a box that says &#8220;See Example&#8221; and &#8220;Select Instructor&#8221;, click on the dropdown menu next to &#8220;Select Instructor&#8221; and choose the instructor you&#8217;d like to watch. Then click the red box with the white arrow to play the video!<\/p>\n<p>Meet the Instructors:<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Dr. Pamela E. Harris Introduction for Students\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/8f0ttoD5_YM?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Dr. Aris Winger Introduction for Students\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/kmhkGL593A8?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Dr. Lane Fischer Introduction for Students\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/SF7-Y-vr3Yw?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>[<a class=\"backToTop\" href=\"#top\">back to top<\/a>]<\/p>\n<\/div>\n<p style=\"text-align: right;\">\u00a0<\/p>\n","protected":false},"author":8,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Data Illustrations\",\"author\":\"\",\"organization\":\"storyset\",\"url\":\"https:\/\/storyset.com\/data\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1670,"module-header":"- Select Header -","content_attributions":[{"type":"cc","description":"Data Illustrations","author":"","organization":"storyset","url":"https:\/\/storyset.com\/data","project":"","license":"cc-by","license_terms":""}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1675"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":55,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1675\/revisions"}],"predecessor-version":[{"id":7152,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1675\/revisions\/7152"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1670"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1675\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1675"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1675"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1675"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1675"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}