{"id":1378,"date":"2023-06-22T02:20:43","date_gmt":"2023-06-22T02:20:43","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/pair-wise-comparisons-for-anova-learn-it-3\/"},"modified":"2024-03-01T00:54:11","modified_gmt":"2024-03-01T00:54:11","slug":"pair-wise-comparisons-for-anova-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/pair-wise-comparisons-for-anova-learn-it-3\/","title":{"raw":"Pair-wise Comparisons for ANOVA \u2013 Learn It 3","rendered":"Pair-wise Comparisons for ANOVA \u2013 Learn It 3"},"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;Complete an ANOVA hypothesis test for pair-wise comparisons&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Complete pair-wise comparisons for ANOVA<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate a confidence interval and p-value for pair-wise comparisons and explain what it means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:13057,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:3,&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Calculate a confidence interval and p-value for pair-wise comparisons and explain what it means<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<p><strong>Scenario:<\/strong> Suppose you are studying the efficacy of new statistics teaching methods. You randomly assign [latex]20[\/latex] students to each of the four different methods: [latex]A[\/latex], [latex]B[\/latex], [latex]C[\/latex], and [latex]D[\/latex]. You test their knowledge on the midterm to compare the differences between the teaching methods. For this activity, you may assume the conditions for ANOVA are met.<\/p>\r\n<p>[reveal-answer q=\"544013\"]Data Set for A[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"544013\"]<\/p>\r\n<table style=\"border-collapse: collapse; width: 11px;\" border=\"0\" width=\"87\" cellspacing=\"0\" cellpadding=\"0\">\r\n<tbody>\r\n<tr style=\"height: 16.0pt;\">\r\n<td class=\"xl65\" style=\"height: 16pt; width: 445px;\" height=\"21\"><strong>A<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">59<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">54<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">60<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">57<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">58<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">52<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">67<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">61<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">54<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">56<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">62<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">60<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">56<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">61<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">67<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">65<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">61<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">61<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">60<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">62<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer][reveal-answer q=\"623292\"]Data Set for B[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"623292\"]<\/p>\r\n<table style=\"border-collapse: collapse; width: 57px;\" border=\"0\" width=\"87\" cellspacing=\"0\" cellpadding=\"0\">\r\n<tbody>\r\n<tr style=\"height: 16.0pt;\">\r\n<td class=\"xl65\" style=\"height: 16pt; width: 445px;\" height=\"21\"><strong>B<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">67<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">66<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">51<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">68<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">65<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">54<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">57<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">55<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">59<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">66<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">70<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">56<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">56<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">53<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">56<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">72<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">63<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">57<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<p>[reveal-answer q=\"884438\"]Data Set for C[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"884438\"]<\/p>\r\n<table style=\"border-collapse: collapse; width: 55px;\" border=\"0\" width=\"87\" cellspacing=\"0\" cellpadding=\"0\">\r\n<tbody>\r\n<tr style=\"height: 16.0pt;\">\r\n<td class=\"xl65\" style=\"height: 16pt; width: 445px;\" height=\"21\"><strong>C<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">62<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">74<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">62<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">77<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">59<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">58<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">68<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">65<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">66<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">73<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">65<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">67<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">72<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">63<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">72<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">63<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<p>[reveal-answer q=\"869032\"]Data Set for D[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"869032\"]<\/p>\r\n<table style=\"border-collapse: collapse; width: 59px;\" border=\"0\" width=\"87\" cellspacing=\"0\" cellpadding=\"0\">\r\n<tbody>\r\n<tr style=\"height: 16.0pt;\">\r\n<td class=\"xl65\" style=\"height: 16pt; width: 445px;\" height=\"21\"><strong>D<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">69<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">62<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">70<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">73<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">53<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">73<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">75<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">64<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">67<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">73<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">69<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">69<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">72<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">73<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">73<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">59<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">77<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">62<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">77<\/td>\r\n<\/tr>\r\n<tr style=\"height: 16.0pt;\">\r\n<td style=\"height: 16pt; width: 445px;\" align=\"right\" height=\"21\">67<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<br \/>\r\n<iframe src=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\" width=\"100%\" height=\"1200\" frameborder=\"no\"><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\" 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]2245[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2247[\/ohm2_question]<\/section>\r\n<p>We could continue and conduct all six different hypothesis tests\/confidence intervals in order to determine exactly which means are different from one another.<\/p>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Complete an ANOVA hypothesis test for pair-wise comparisons&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Complete pair-wise comparisons for ANOVA<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Calculate a confidence interval and p-value for pair-wise comparisons and explain what it means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:13057,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:3,&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Calculate a confidence interval and p-value for pair-wise comparisons and explain what it means<\/span><\/li>\n<\/ul>\n<\/section>\n<p><strong>Scenario:<\/strong> Suppose you are studying the efficacy of new statistics teaching methods. You randomly assign [latex]20[\/latex] students to each of the four different methods: [latex]A[\/latex], [latex]B[\/latex], [latex]C[\/latex], and [latex]D[\/latex]. You test their knowledge on the midterm to compare the differences between the teaching methods. For this activity, you may assume the conditions for ANOVA are met.<\/p>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q544013\">Data Set for A<\/button><\/p>\n<div id=\"q544013\" class=\"hidden-answer\" style=\"display: none\">\n<table style=\"border-collapse: collapse; width: 11px; width: 87px; border-spacing: 0px;\" cellpadding=\"0\">\n<tbody>\n<tr style=\"height: 16.0pt;\">\n<td class=\"xl65\" style=\"height: 16pt; width: 445px; height: 21px;\"><strong>A<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">59<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">54<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">60<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">57<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">58<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">52<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">67<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">61<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">54<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">56<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">62<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">60<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">56<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">61<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">67<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">65<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">61<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">61<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">60<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">62<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q623292\">Data Set for B<\/button><\/p>\n<div id=\"q623292\" class=\"hidden-answer\" style=\"display: none\">\n<table style=\"border-collapse: collapse; width: 57px; width: 87px; border-spacing: 0px;\" cellpadding=\"0\">\n<tbody>\n<tr style=\"height: 16.0pt;\">\n<td class=\"xl65\" style=\"height: 16pt; width: 445px; height: 21px;\"><strong>B<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">67<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">66<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">51<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">68<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">65<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">54<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">57<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">55<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">59<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">66<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">70<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">56<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">56<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">53<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">56<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">72<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">63<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">57<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q884438\">Data Set for C<\/button><\/p>\n<div id=\"q884438\" class=\"hidden-answer\" style=\"display: none\">\n<table style=\"border-collapse: collapse; width: 55px; width: 87px; border-spacing: 0px;\" cellpadding=\"0\">\n<tbody>\n<tr style=\"height: 16.0pt;\">\n<td class=\"xl65\" style=\"height: 16pt; width: 445px; height: 21px;\"><strong>C<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">62<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">74<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">62<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">77<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">59<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">58<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">68<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">65<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">66<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">73<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">65<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">67<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">72<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">63<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">72<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">63<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q869032\">Data Set for D<\/button><\/p>\n<div id=\"q869032\" class=\"hidden-answer\" style=\"display: none\">\n<table style=\"border-collapse: collapse; width: 59px; width: 87px; border-spacing: 0px;\" cellpadding=\"0\">\n<tbody>\n<tr style=\"height: 16.0pt;\">\n<td class=\"xl65\" style=\"height: 16pt; width: 445px; height: 21px;\"><strong>D<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">69<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">62<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">70<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">73<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">53<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">73<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">75<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">64<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">67<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">73<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">69<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">69<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">72<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">73<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">73<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">59<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">77<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">62<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">77<\/td>\n<\/tr>\n<tr style=\"height: 16.0pt;\">\n<td style=\"height: 16pt; width: 445px; height: 21px;\" align=\"right\">67<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p>\n<iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\" width=\"100%\" height=\"1200\" frameborder=\"no\"><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/2samplemean\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2245\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2245&theme=lumen&iframe_resize_id=ohm2245&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2247\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2247&theme=lumen&iframe_resize_id=ohm2247&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>We could continue and conduct all six different hypothesis tests\/confidence intervals in order to determine exactly which means are different from one another.<\/p>\n","protected":false},"author":8,"menu_order":29,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1348,"module-header":"learn_it","content_attributions":[],"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\/1378"}],"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":3,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1378\/revisions"}],"predecessor-version":[{"id":5812,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1378\/revisions\/5812"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1348"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1378\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1378"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1378"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1378"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}