{"id":1283,"date":"2023-06-22T02:13:15","date_gmt":"2023-06-22T02:13:15","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/t-distribution-learn-it-1\/"},"modified":"2025-05-16T03:58:03","modified_gmt":"2025-05-16T03:58:03","slug":"t-distribution-learn-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/t-distribution-learn-it-1\/","title":{"raw":"t-distribution: Learn It 1","rendered":"t-distribution: Learn It 1"},"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;Check the conditions for a t-distribution, then use a t-distribution to calculate probabilities when appropriate&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4865,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:3,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Check the conditions for a [latex]t[\/latex]-distribution, then use a [latex]t[\/latex]-distribution to calculate probabilities when appropriate.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>College Cost<\/h2>\r\n<p>In the statistical tool below, select <strong>College Cost<\/strong> under <strong>Select Example<\/strong>. The population distribution of the average annual cost of tuition and fees, seen in the statistical tool, is the distribution of the average annual costs of tuition and fees (in U.S. dollars) for a population of [latex]1,909[\/latex] public and private four-year U.S. colleges.<\/p>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\" width=\"100%\" height=\"1200\" frameborder=\"no\"><\/iframe><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\" 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]972[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]973[\/ohm2_question]<\/section>\r\n<p>When we calculate a [latex]z[\/latex]-score for a statistic using simulation to estimate the mean and standard deviation of the sample mean, we call this a <strong>standardized statistic<\/strong>.<\/p>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for a t-distribution, then use a t-distribution to calculate probabilities when appropriate&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4865,&quot;3&quot;:{&quot;1&quot;:0},&quot;11&quot;:3,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Check the conditions for a [latex]t[\/latex]-distribution, then use a [latex]t[\/latex]-distribution to calculate probabilities when appropriate.<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>College Cost<\/h2>\n<p>In the statistical tool below, select <strong>College Cost<\/strong> under <strong>Select Example<\/strong>. The population distribution of the average annual cost of tuition and fees, seen in the statistical tool, is the distribution of the average annual costs of tuition and fees (in U.S. dollars) for a population of [latex]1,909[\/latex] public and private four-year U.S. colleges.<\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\" width=\"100%\" height=\"1200\" frameborder=\"no\"><\/iframe><br \/>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_cont\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm972\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=972&theme=lumen&iframe_resize_id=ohm972&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm973\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=973&theme=lumen&iframe_resize_id=ohm973&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>When we calculate a [latex]z[\/latex]-score for a statistic using simulation to estimate the mean and standard deviation of the sample mean, we call this a <strong>standardized statistic<\/strong>.<\/p>\n","protected":false},"author":8,"menu_order":14,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1268,"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\/1283"}],"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":4,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1283\/revisions"}],"predecessor-version":[{"id":6786,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1283\/revisions\/6786"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1268"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1283\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1283"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1283"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1283"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}