{"id":833,"date":"2018-10-11T01:41:18","date_gmt":"2018-10-11T01:41:18","guid":{"rendered":"http:\/\/tinspireapps.com\/blog\/?p=833"},"modified":"2018-10-11T01:41:18","modified_gmt":"2018-10-11T01:41:18","slug":"solved-normal-distribution-sampling-distribution-tinspire","status":"publish","type":"post","link":"https:\/\/tinspireapps.com\/blog\/solved-normal-distribution-sampling-distribution-tinspire\/","title":{"rendered":"SOLVED: Normal Distribution &#038; Sampling Distribution (TiNspire)"},"content":{"rendered":"<p>Below is a typical Normal Distribution problem that will be solved further below using the <a href=\"https:\/\/www.tinspireapps.com\/?a=SPME\" target=\"_blank\" rel=\"noopener\">Statistics Made Easy<\/a> app .<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-835\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-1-e1539220040373-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-1-e1539220040373-225x300.jpg 225w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-1-e1539220040373-768x1024.jpg 768w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-1-e1539220040373-113x150.jpg 113w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-1-e1539220040373.jpg 1944w\" sizes=\"auto, (max-width: 225px) 85vw, 225px\" \/><\/p>\n<p>Using the Normal Distribution feature in the Statistics Made Easy app , we enter the given mean and standard deviation in the top box use 0 and 19 for A and B to 0.0324 or 3.24% .<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-841\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image002-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image002-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image002-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image002.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>For question 2 we use 90 and 130 instead in the 2. box to 85.83%<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-840\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image004-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image004-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image004-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image004.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>For the 3. question we use 130 as A and some large B such as 500 (or 1000) to get 0.1092 or 10.92% as the answer.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-839\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image005-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image005-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image005-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image005.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-834\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-part-2-e1539220016640-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-part-2-e1539220016640-225x300.jpg 225w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-part-2-e1539220016640-768x1024.jpg 768w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-part-2-e1539220016640-113x150.jpg 113w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/math-1530-part-2-e1539220016640.jpg 1944w\" sizes=\"auto, (max-width: 225px) 85vw, 225px\" \/><\/p>\n<p>For Sampling Distribution we use the Central Limit Theorem<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-837\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image007-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image007-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image007-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image007.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>and enter the known mean, standard deviation and sample size to get the sampling distribution<\/p>\n<p>N(mean, std dev\/square root(n) ). Here we get 114 and 1.3<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-838\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image006-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image006-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image006-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image006.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>Since the sampling distribution is a normal distribution , we go to the previous and only change the standard deviation to 1.3 instead of 13. Below, we type in the given 110 and 116 to get 93.6986%<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-836\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image008-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image008-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image008-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/10\/10-10-2018-Image008.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>That was not too difficult at all! It was easy..<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Below is a typical Normal Distribution problem that will be solved further below using the Statistics Made Easy app . Using the Normal Distribution feature in the Statistics Made Easy app , we enter the given mean and standard deviation in the top box use 0 and 19 for A and B to 0.0324 or &hellip; <a href=\"https:\/\/tinspireapps.com\/blog\/solved-normal-distribution-sampling-distribution-tinspire\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;SOLVED: Normal Distribution &#038; Sampling Distribution (TiNspire)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,100],"tags":[155,276,25],"class_list":["post-833","post","type-post","status-publish","format-standard","hentry","category-statistics","category-tinspirecx","tag-normal-distribution","tag-sampling-distribution","tag-tinspire"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>SOLVED: Normal Distribution &amp; Sampling Distribution (TiNspire) - www.TiNspireApps.com - Stepwise Math &amp; Science Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/tinspireapps.com\/blog\/solved-normal-distribution-sampling-distribution-tinspire\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SOLVED: Normal Distribution &amp; Sampling Distribution (TiNspire) - www.TiNspireApps.com - Stepwise Math &amp; Science Solutions\" \/>\n<meta property=\"og:description\" content=\"Below is a typical Normal Distribution problem that will be solved further below using the Statistics Made Easy app . 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