{"id":252375,"date":"2025-07-11T09:07:30","date_gmt":"2025-07-11T09:07:30","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252375"},"modified":"2025-07-11T09:07:34","modified_gmt":"2025-07-11T09:07:34","slug":"body-temperatures","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/body-temperatures\/","title":{"rendered":"Body Temperatures"},"content":{"rendered":"\n

Body Temperatures (Using Table A-2 or StatCrunch) Assume that the population of human body temperatures has a mean of 98.3\u00b0F, as is commonly believed. Also assume that the population standard deviation is 0.62\u00b0F (based on Data Set 5 “Body Temperatures” in Appendix B). A sample of size<\/p>\n\n\n\n

subjects was randomly selected and the mean body temperature of 98.1\u00b0F was obtained. If the mean body temperature is really 98.3\u00b0F, find the probability of getting a sample mean of 98.1\u00b0F or lower for a sample of size 110. Based on the result, is 98.1\u00b0F significantly low? What do these results suggest about the common belief that the mean body temperature is 98.3\u00b0F? Draw the bell curve. Make sure to label and shade the region. Must include the mean for both the x scale and z scale and include the x and z value in addition to the probability (area). Please see lecture videos. (6 pts)<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/strong><\/p>\n\n\n\n

To solve this, we apply the z-score formula for a sample mean<\/strong>:<\/p>\n\n\n\n

Step 1: Given values<\/h3>\n\n\n\n
    \n
  • Population mean (\u03bc) = 98.3\u00b0F<\/li>\n\n\n\n
  • Population standard deviation (\u03c3) = 0.62\u00b0F<\/li>\n\n\n\n
  • Sample size (n) = 110<\/li>\n\n\n\n
  • Sample mean (x\u0304) = 98.1\u00b0F<\/li>\n<\/ul>\n\n\n\n

    Step 2: Calculate standard error (SE)<\/h3>\n\n\n\n

    SE=\u03c3n=0.62110\u22480.6210.4881\u22480.0591SE = \\frac{\\sigma}{\\sqrt{n}} = \\frac{0.62}{\\sqrt{110}} \\approx \\frac{0.62}{10.4881} \\approx 0.0591SE=n<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Body Temperatures (Using Table A-2 or StatCrunch) Assume that the population of human body temperatures has a mean of 98.3\u00b0F, as is commonly believed. Also assume that the population standard deviation is 0.62\u00b0F (based on Data Set 5 “Body Temperatures” in Appendix B). A sample of size subjects was randomly selected and the mean body […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-252375","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252375","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=252375"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252375\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}