{"id":1375,"date":"2023-06-22T02:20:40","date_gmt":"2023-06-22T02:20:40","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/pair-wise-comparisons-for-anova-background-youll-need-1\/"},"modified":"2025-05-16T22:46:48","modified_gmt":"2025-05-16T22:46:48","slug":"pair-wise-comparisons-for-anova-background-youll-need-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/pair-wise-comparisons-for-anova-background-youll-need-1\/","title":{"raw":"Module 13: Background You'll Need 4","rendered":"Module 13: Background You&#8217;ll Need 4"},"content":{"raw":"<section>\r\n<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain differences in means and make conclusions when comparing two means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12929,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Explain differences in means and make conclusions when comparing two means<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<\/section>\r\n<h2>Working with Intervals that Estimate a Difference<\/h2>\r\n<section class=\"textbox recall\">We used to [latex]\\mu[\/latex] to represent a population mean and [latex]\\bar{x}[\/latex]\u00a0to represent a sample mean.<br \/>\r\nWhen we are comparing two populations, we add subscripts to indicate which population (and sample) is being referenced.<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2228[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2227[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2229[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2230[\/ohm2_question]<\/section>","rendered":"<section>\n<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Explain differences in means and make conclusions when comparing two means&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12929,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Explain differences in means and make conclusions when comparing two means<\/span><\/li>\n<\/ul>\n<\/section>\n<\/section>\n<h2>Working with Intervals that Estimate a Difference<\/h2>\n<section class=\"textbox recall\">We used to [latex]\\mu[\/latex] to represent a population mean and [latex]\\bar{x}[\/latex]\u00a0to represent a sample mean.<br \/>\nWhen we are comparing two populations, we add subscripts to indicate which population (and sample) is being referenced.<\/section>\n<section class=\"textbox 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