{"id":1059,"date":"2023-06-22T01:45:28","date_gmt":"2023-06-22T01:45:28","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/normal-distribution-continued-apply-it-1\/"},"modified":"2024-03-20T17:40:56","modified_gmt":"2024-03-20T17:40:56","slug":"normal-distribution-continued-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/normal-distribution-continued-apply-it-1\/","title":{"raw":"Normal Distribution (continued): Apply It 1","rendered":"Normal Distribution (continued): Apply 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>The Normal Distribution<\/h2>\r\n<p><img class=\"aligncenter wp-image-1649\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/12162333\/Picture16.jpg\" alt=\"A stethoscope, weights, tennis shoes, a prescription pad, fruits and vegetables in a bowl, and a glass of water.\" width=\"351\" height=\"234\" \/><\/p>\r\n<p>Cholesterol and triglycerides are classified lipids or fats. These fats are important for cell health, but they can be harmful when they build up in the blood. Sometimes they can lead to clogged, inflamed arteries, a condition called atherosclerosis. This may keep your heart from working normally if the arteries of your heart muscle are affected.[footnote]https:\/\/www.hopkinsmedicine.org\/health\/treatment-tests-and-therapies\/lipid-panel#:~:text=Here%20are%20the%20ranges%20for,or%20above%20240%20mg%2FdL[\/footnote]<\/p>\r\n<p>The amount of cholesterol in a person\u2019s blood plays an important role in the health of their heart and blood vessels. Most adults have their cholesterol levels checked at least every five years. To help guide treatment, medical organizations have established guidelines that define which cholesterol levels are considered healthy.[footnote]National Heart, Lung, and Blood Institute. (2021, January 4). Blood cholesterol. https:\/\/www.nhlbi.nih.gov\/health-topics\/blood-cholesterol[\/footnote]<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1526[\/ohm2_question]<\/section>\r\n<p>Cholesterol levels for adults in the United States are normally distributed, so normal distribution is a useful tool in evaluating cholesterol levels. According to the Centers for Disease Control and Prevention (CDC), the mean cholesterol level for U.S. adults is [latex]191[\/latex] milligrams of cholesterol per deciliter of blood (mg\/dL), with a standard deviation (SD) of [latex]40.7[\/latex].[footnote]Centers for Disease Control and Prevention. (2021, March 1). Cholesterol. https:\/\/www.cdc.gov\/nchs\/fastats\/cholesterol.htm[\/footnote] There are [latex]3[\/latex] ranges used by doctors as a general guidelines for total cholesterol in adults: Normal (Less than [latex]200[\/latex] mg\/dL), Borderline high ([latex]200[\/latex] to [latex]239[\/latex] mg\/dL), and High (At or above [latex]240[\/latex] mg\/dL).<\/p>\r\n<p>Let's use the CDC data to calculate some probabilities.<\/p>\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]1527[\/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>The Normal Distribution<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1649\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/12162333\/Picture16.jpg\" alt=\"A stethoscope, weights, tennis shoes, a prescription pad, fruits and vegetables in a bowl, and a glass of water.\" width=\"351\" height=\"234\" \/><\/p>\n<p>Cholesterol and triglycerides are classified lipids or fats. These fats are important for cell health, but they can be harmful when they build up in the blood. Sometimes they can lead to clogged, inflamed arteries, a condition called atherosclerosis. This may keep your heart from working normally if the arteries of your heart muscle are affected.<a class=\"footnote\" title=\"https:\/\/www.hopkinsmedicine.org\/health\/treatment-tests-and-therapies\/lipid-panel#:~:text=Here%20are%20the%20ranges%20for,or%20above%20240%20mg%2FdL\" id=\"return-footnote-1059-1\" href=\"#footnote-1059-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p>The amount of cholesterol in a person\u2019s blood plays an important role in the health of their heart and blood vessels. Most adults have their cholesterol levels checked at least every five years. To help guide treatment, medical organizations have established guidelines that define which cholesterol levels are considered healthy.<a class=\"footnote\" title=\"National Heart, Lung, and Blood Institute. (2021, January 4). Blood cholesterol. https:\/\/www.nhlbi.nih.gov\/health-topics\/blood-cholesterol\" id=\"return-footnote-1059-2\" href=\"#footnote-1059-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1526\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1526&theme=lumen&iframe_resize_id=ohm1526&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Cholesterol levels for adults in the United States are normally distributed, so normal distribution is a useful tool in evaluating cholesterol levels. According to the Centers for Disease Control and Prevention (CDC), the mean cholesterol level for U.S. adults is [latex]191[\/latex] milligrams of cholesterol per deciliter of blood (mg\/dL), with a standard deviation (SD) of [latex]40.7[\/latex].<a class=\"footnote\" title=\"Centers for Disease Control and Prevention. (2021, March 1). Cholesterol. https:\/\/www.cdc.gov\/nchs\/fastats\/cholesterol.htm\" id=\"return-footnote-1059-3\" href=\"#footnote-1059-3\" aria-label=\"Footnote 3\"><sup class=\"footnote\">[3]<\/sup><\/a> There are [latex]3[\/latex] ranges used by doctors as a general guidelines for total cholesterol in adults: Normal (Less than [latex]200[\/latex] mg\/dL), Borderline high ([latex]200[\/latex] to [latex]239[\/latex] mg\/dL), and High (At or above [latex]240[\/latex] mg\/dL).<\/p>\n<p>Let&#8217;s use the CDC data to calculate some probabilities.<\/p>\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? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1527\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1527&theme=lumen&iframe_resize_id=ohm1527&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-1059-1\">https:\/\/www.hopkinsmedicine.org\/health\/treatment-tests-and-therapies\/lipid-panel#:~:text=Here%20are%20the%20ranges%20for,or%20above%20240%20mg%2FdL <a href=\"#return-footnote-1059-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-1059-2\">National Heart, Lung, and Blood Institute. (2021, January 4). Blood cholesterol. https:\/\/www.nhlbi.nih.gov\/health-topics\/blood-cholesterol <a href=\"#return-footnote-1059-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><li id=\"footnote-1059-3\">Centers for Disease Control and Prevention. (2021, March 1). Cholesterol. https:\/\/www.cdc.gov\/nchs\/fastats\/cholesterol.htm <a href=\"#return-footnote-1059-3\" class=\"return-footnote\" aria-label=\"Return to footnote 3\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":8,"menu_order":23,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":3053,"module-header":"apply_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\/1059"}],"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":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1059\/revisions"}],"predecessor-version":[{"id":5959,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1059\/revisions\/5959"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/3053"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1059\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1059"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1059"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1059"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}