{"id":1328,"date":"2023-06-22T02:17:36","date_gmt":"2023-06-22T02:17:36","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-two-population-means-independent-samples-background-youll-need-2\/"},"modified":"2024-01-22T19:36:54","modified_gmt":"2024-01-22T19:36:54","slug":"comparing-two-population-means-independent-samples-background-youll-need-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-two-population-means-independent-samples-background-youll-need-2\/","title":{"raw":"Module 12: Background You'll Need 5","rendered":"Module 12: Background You&#8217;ll Need 5"},"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;Use appropriate notation for statistical terms&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Use appropriate notation for statistical terms.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>The formula for the test statistic to compare two population means contains multiple values for the sample mean, sample standard deviation, sample size, and population mean.<\/p>\r\n<section class=\"textbox recall\">A\u00a0<strong>parameter\u00a0<\/strong>is a number that describes a population.<br \/>\r\n<br \/>\r\nA\u00a0<strong>statistic\u00a0<\/strong>is a number that we calculate from a sample. For the mean, the notations are:\r\n\r\n<ul>\r\n\t<li>[latex]\\mu[\/latex] represents the parameter, a population mean.<\/li>\r\n\t<li>[latex]\\bar{x}[\/latex]\u00a0is the notation for a sample mean, a statistic.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1409[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Use appropriate notation for statistical terms&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4096,&quot;15&quot;:&quot;Calibri&quot;}\">Use appropriate notation for statistical terms.<\/span><\/li>\n<\/ul>\n<\/section>\n<p>The formula for the test statistic to compare two population means contains multiple values for the sample mean, sample standard deviation, sample size, and population mean.<\/p>\n<section class=\"textbox recall\">A\u00a0<strong>parameter\u00a0<\/strong>is a number that describes a population.<\/p>\n<p>A\u00a0<strong>statistic\u00a0<\/strong>is a number that we calculate from a sample. For the mean, the notations are:<\/p>\n<ul>\n<li>[latex]\\mu[\/latex] represents the parameter, a population mean.<\/li>\n<li>[latex]\\bar{x}[\/latex]\u00a0is the notation for a sample mean, a statistic.<\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1409\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1409&theme=lumen&iframe_resize_id=ohm1409&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":6,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1309,"module-header":"background_you_need","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\/1328"}],"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":9,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1328\/revisions"}],"predecessor-version":[{"id":5197,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1328\/revisions\/5197"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1309"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1328\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1328"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1328"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1328"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}