{"id":1319,"date":"2023-06-22T02:17:30","date_gmt":"2023-06-22T02:17:30","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/null-and-alternative-hypothesis-for-means-apply-it-3\/"},"modified":"2025-05-16T22:18:44","modified_gmt":"2025-05-16T22:18:44","slug":"null-and-alternative-hypothesis-for-means-apply-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/null-and-alternative-hypothesis-for-means-apply-it-3\/","title":{"raw":"Null and Alternative Hypothesis for Means: Learn It 4","rendered":"Null and Alternative Hypothesis for Means: Learn It 4"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain the purpose of hypothesis testing&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Explain the purpose of hypothesis testing.<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Write the null and alternative hypotheses for tests on population means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Write the null and alternative hypotheses for tests on population means.<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for hypothesis tests for population means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Check the conditions for hypothesis tests for population means.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox recall\"><strong>Conditions for a One-Sample [latex]t[\/latex]-Test<\/strong>\r\n<ol>\r\n\t<li>The sample is a <strong>random sample<\/strong> from the population of interest, or it is reasonable to regard the sample as if it is random. It is reasonable to regard the sample as a random sample if it was selected in a way that should result in a sample that is representative of the population.<\/li>\r\n\t<li>For each population, the distribution of the variable that was measured is <strong>approximately normal, or the sample size for the sample from that population is large<\/strong>. Usually, a sample of size [latex]30[\/latex] or more is considered to be \u201clarge.\u201d If a sample size is less than [latex]30[\/latex], you should look at a plot of the data from that sample (a dotplot, a boxplot, or, if the sample size isn\u2019t really small, a histogram) to make sure that the distribution looks approximately symmetric and that there are no outliers.<\/li>\r\n<\/ol>\r\n<\/section>\r\n<section class=\"textbox interact\">In the statistical tool below:\r\n\r\n<p style=\"padding-left: 40px;\"><strong>Step 1: <\/strong>Under <strong>Enter Data<\/strong>, select <strong>Your Own<\/strong>.<\/p>\r\n<p style=\"padding-left: 40px;\"><strong>Step 2: <\/strong>You may enter the <strong>Name of Variable<\/strong> as <strong>2020 Coca-Cola Company grand total<\/strong>.<\/p>\r\n<p style=\"padding-left: 40px;\"><strong>Step 3: <\/strong>Copy and paste the data set below into the statistical tool.<\/p>\r\n<p>[reveal-answer q=\"419143\"]Grand Total Dataset[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"419143\"]<\/p>\r\n<table class=\" aligncenter\" style=\"border-collapse: collapse; width: 108px; height: 1917px;\" border=\"0\" width=\"116\" cellspacing=\"0\" cellpadding=\"0\">\r\n<tbody>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl67\" style=\"height: 13pt; width: 229.861px;\" height=\"17\"><strong>grand_total<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">44<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">122<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">95<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">78<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">119<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">6<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">204<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">29<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">136<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">134<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">132<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">20<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">5<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">147<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">14<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">7<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">258<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">2<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">93<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">219<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">13<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">20<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">1<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">3268<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">21<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">1<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">11<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">9<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">320<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">232<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">165<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">4068<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">9<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">614<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">6<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">27<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">40<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">9<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">2<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">647<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">28<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">256<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">775<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">423<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">12<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">126<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">497<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">39<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">247<\/td>\r\n<\/tr>\r\n<tr style=\"height: 13.0pt;\">\r\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px;\" height=\"17\">85<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/ \" width=\"100%\" height=\"900\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\"><\/span><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1400[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]848[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain the purpose of hypothesis testing&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Explain the purpose of hypothesis testing.<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Write the null and alternative hypotheses for tests on population means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Write the null and alternative hypotheses for tests on population means.<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for hypothesis tests for population means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Check the conditions for hypothesis tests for population means.<\/span><\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox recall\"><strong>Conditions for a One-Sample [latex]t[\/latex]-Test<\/strong><\/p>\n<ol>\n<li>The sample is a <strong>random sample<\/strong> from the population of interest, or it is reasonable to regard the sample as if it is random. It is reasonable to regard the sample as a random sample if it was selected in a way that should result in a sample that is representative of the population.<\/li>\n<li>For each population, the distribution of the variable that was measured is <strong>approximately normal, or the sample size for the sample from that population is large<\/strong>. Usually, a sample of size [latex]30[\/latex] or more is considered to be \u201clarge.\u201d If a sample size is less than [latex]30[\/latex], you should look at a plot of the data from that sample (a dotplot, a boxplot, or, if the sample size isn\u2019t really small, a histogram) to make sure that the distribution looks approximately symmetric and that there are no outliers.<\/li>\n<\/ol>\n<\/section>\n<section class=\"textbox interact\">In the statistical tool below:<\/p>\n<p style=\"padding-left: 40px;\"><strong>Step 1: <\/strong>Under <strong>Enter Data<\/strong>, select <strong>Your Own<\/strong>.<\/p>\n<p style=\"padding-left: 40px;\"><strong>Step 2: <\/strong>You may enter the <strong>Name of Variable<\/strong> as <strong>2020 Coca-Cola Company grand total<\/strong>.<\/p>\n<p style=\"padding-left: 40px;\"><strong>Step 3: <\/strong>Copy and paste the data set below into the statistical tool.<\/p>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q419143\">Grand Total Dataset<\/button><\/p>\n<div id=\"q419143\" class=\"hidden-answer\" style=\"display: none\">\n<table class=\"aligncenter\" style=\"border-collapse: collapse; width: 108px; height: 1917px; width: 116px; border-spacing: 0px;\" cellpadding=\"0\">\n<tbody>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl67\" style=\"height: 13pt; width: 229.861px; height: 17px;\"><strong>grand_total<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">44<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">122<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">95<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">78<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">119<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">6<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">204<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">29<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">136<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">134<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">132<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">20<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">5<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">147<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">14<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">7<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">258<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">2<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">93<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">219<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">13<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">20<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">1<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">3268<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">21<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">1<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">11<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">9<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">320<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">232<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">165<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">4068<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">9<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">614<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">6<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">27<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">40<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">9<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">2<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">647<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">28<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">256<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">775<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">423<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">12<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">126<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">497<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">39<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">247<\/td>\n<\/tr>\n<tr style=\"height: 13.0pt;\">\n<td class=\"xl65\" style=\"height: 13pt; width: 229.861px; height: 17px;\">85<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"900\" frameborder=\"no\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\"><\/span><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? 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