{"id":1056,"date":"2023-06-22T01:45:26","date_gmt":"2023-06-22T01:45:26","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/normal-distribution-continued-learn-it-1\/"},"modified":"2025-05-16T02:26:50","modified_gmt":"2025-05-16T02:26:50","slug":"normal-distribution-continued-learn-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/normal-distribution-continued-learn-it-1\/","title":{"raw":"Normal Distribution (continued): Learn It 1","rendered":"Normal Distribution (continued): Learn It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Understand the properties and characteristics of the standard normal distribution.<\/li>\r\n\t<li>Calculate probabilities and percentiles using normal distribution and [latex]z[\/latex]-scores with technology.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Standard Normal Distribution<\/h2>\r\n<p>In order to calculate probabilities for normally-distributed variables, we need to understand that every value of a variable with a normal distribution has a corresponding [latex]z[\/latex]-score for the standard normal distribution.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1022[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1530[\/ohm2_question]<\/section>\r\n<h3>Normal Distribution &amp; Empirical Rule<\/h3>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\r\n<p>[<a href=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\" 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]1531[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Understand the properties and characteristics of the standard normal distribution.<\/li>\n<li>Calculate probabilities and percentiles using normal distribution and [latex]z[\/latex]-scores with technology.<\/li>\n<\/ul>\n<\/section>\n<h2>Standard Normal Distribution<\/h2>\n<p>In order to calculate probabilities for normally-distributed variables, we need to understand that every value of a variable with a normal distribution has a corresponding [latex]z[\/latex]-score for the standard normal distribution.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1022\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1022&theme=lumen&iframe_resize_id=ohm1022&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1530\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1530&theme=lumen&iframe_resize_id=ohm1530&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<h3>Normal Distribution &amp; Empirical Rule<\/h3>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\n<p>[<a href=\"https:\/\/lumen-learning.shinyapps.io\/normaldist\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? 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