{"id":2949,"date":"2020-10-31T08:37:40","date_gmt":"2020-10-31T08:37:40","guid":{"rendered":"http:\/\/onlineclassesguru.com\/?p=2949"},"modified":"2020-10-31T08:37:40","modified_gmt":"2020-10-31T08:37:40","slug":"mathematics","status":"publish","type":"post","link":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/","title":{"rendered":"Mathematics"},"content":{"rendered":"<style type=\"text\/css\"><\/style><p>1. Assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a standard<br \/>\ndeviation of 1.<br \/>\na. Find the z-score that separate the lowest 9% of scores from the highest 91%.<br \/>\nb. For a randomly selected subject, find the probability of a score greater than -2.93.<br \/>\nc. For a randomly selected subject, find the probability of a score between 0.87 and 1.78.<br \/>\n2. Identify the values of and for the standard normal distribution.<br \/>\n3. Assume that women have diastolic blood pressures that are normally distributed with a mean of 70.2 mm Hg and a<br \/>\nstandard deviation of 11.2 mm Hg.<br \/>\na. Find the probability that a randomly selected woman has a normal diastolic blood pressure level, which is below<br \/>\n80 mm Hg.<br \/>\nb. Find the probability that a randomly selected woman has a diastolic blood pressure level between 60 mm Hg<br \/>\nand 80 mm Hg.<br \/>\nc. Find , the 90th percentile for the diastolic blood pressure levels for women.<br \/>\nChapter 6.3, 6.4 Classwork<br \/>\n4. Use the population { } of the amounts of caffeine (mg\/12 oz) in Coca-Cola Zero, Diet Pepsi, Dr. Pepper,<br \/>\nand Mellow Yello Zero. Assume that random samples of size are selected with replacement.<br \/>\na. After identifying the 16 different possible samples, find the mean of each sample.<br \/>\nb. Construct a table representing the sampling distribution of the sample mean.<br \/>\n5. Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a<br \/>\nstandard deviation of 12.5 beats per minute.<br \/>\na. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute.<br \/>\nContinue from previous problem.<br \/>\nb. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than<br \/>\n80 beats per minute.<br \/>\nc. Why can the normal distribution be used in part(b), even though the sample size does not exceed 30?<br \/>\nd. If 1 adult female is randomly selected, find the probability that her pulse rate is greater than 70 beats per<br \/>\nminute.<br \/>\ne. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean greater<br \/>\nthan 70 beats per minute.<br \/>\nf. If 1 adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute<br \/>\nand 76 beats per minute.<br \/>\ng. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 72<br \/>\nbeats per minute and 76 beats per minute.<br \/>\nChapter 7 Classwork<br \/>\n6. Here is a 95% confidence interval estimate of the proportion of adults who say that the law goes easy on celebrities:<br \/>\n0.692 &lt; p &lt; 0.748 (based on data from a Rasmussen Reports survey).<br \/>\na. What is the best point estimate of the proportion of adults in the population who say that the law goes easy on<br \/>\ncelebrities?<br \/>\nb. Write a brief statement that correctly interprets the confidence interval given.<br \/>\nc. Find the critical value that would be used for constructing a 99% confidence interval estimate of the population<br \/>\nproportion.<br \/>\n7. USA Today reported that 40% of people surveyed planned to use accumulated loose change for paying bills. The<br \/>\nmargin of error was given as percentage points. Identify the confidence interval that corresponds to that<br \/>\ninformation.<br \/>\n8. In a Harris poll of 2036 adults, 40% said that they prefer to get their news online.<br \/>\na. Construct a 95% confidence interval estimate of the percentage of all adults who say that they prefer to get<br \/>\ntheir news online.<br \/>\nb. Can we safely say that fewer than 50% of adults prefer to get their news online?<br \/>\n9. Find the sample size required to estimate the percentage of college students who take a statistics course. Assume<br \/>\nthat we want 95% confidence that the proportion from the sample is within four percentage points of the true<br \/>\npopulation percentage.<br \/>\n10. Listed below are Richter scale magnitudes of randomly selected earthquakes.<br \/>\n3.09 2.76 2.65 3.44 3.01 2.94 3.45 2.72 2.69 2.89 2.71 2.76<br \/>\na. Identify the best point estimate of the population mean .<br \/>\nb. Construct a 95% confidence interval of the mean magnitude of the population of earthquakes.<br \/>\nc. Write a statement that interprets the confidence interval.<br \/>\n11. Find the sample size required to estimate the mean IQ of professional musicians. Assume that we want 98%<br \/>\nconfidence that the mean from the sample is within three IQ points of the true population mean. Also assume that<br \/>\n.<\/p>\n<p><center><a href=\"http:\/\/onlineclassesguru.com\/orders\/ordernow\"><img decoding=\"async\" src=\"https:\/\/encrypted-tbn0.gstatic.com\/images?q=tbn:ANd9GcTyj99p60XCLyLk1htB7-1neRt8-2QdnenNlQ&usqp=CAU\"target=\"_http:\/\/onlineclassesguru.com\/orders\/ordernow\"\/><\/center><p>","protected":false},"excerpt":{"rendered":"<p>1. Assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a standard deviation of 1. a. Find the z-score that separate the lowest 9% of scores from the highest 91%. b. For a randomly selected subject, find the probability of a score greater than -2.93. c&#8230;.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2949","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mathematics - onlineclassesguru<\/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:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematics - onlineclassesguru\" \/>\n<meta property=\"og:description\" content=\"1. Assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a standard deviation of 1. a. Find the z-score that separate the lowest 9% of scores from the highest 91%. b. For a randomly selected subject, find the probability of a score greater than -2.93. c....\" \/>\n<meta property=\"og:url\" content=\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/\" \/>\n<meta property=\"og:site_name\" content=\"onlineclassesguru\" \/>\n<meta property=\"article:published_time\" content=\"2020-10-31T08:37:40+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin_admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/onlineclassesguru.com\/#website\",\"url\":\"https:\/\/onlineclassesguru.com\/\",\"name\":\"onlineclassesguru\",\"description\":\"Cheap Professional coursework and reaction papers help\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/onlineclassesguru.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/#webpage\",\"url\":\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/\",\"name\":\"Mathematics - onlineclassesguru\",\"isPartOf\":{\"@id\":\"https:\/\/onlineclassesguru.com\/#website\"},\"datePublished\":\"2020-10-31T08:37:40+00:00\",\"dateModified\":\"2020-10-31T08:37:40+00:00\",\"author\":{\"@id\":\"https:\/\/onlineclassesguru.com\/#\/schema\/person\/1831fa4d28e47b468621cf27932f5742\"},\"breadcrumb\":{\"@id\":\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/onlineclassesguru.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Mathematics\"}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/onlineclassesguru.com\/#\/schema\/person\/1831fa4d28e47b468621cf27932f5742\",\"name\":\"admin_admin\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/onlineclassesguru.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/429c8d043f7a770af242b0031e8b9f2b?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/429c8d043f7a770af242b0031e8b9f2b?s=96&d=mm&r=g\",\"caption\":\"admin_admin\"},\"url\":\"https:\/\/onlineclassesguru.com\/index.php\/author\/admin_admin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Mathematics - onlineclassesguru","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/","og_locale":"en_US","og_type":"article","og_title":"Mathematics - onlineclassesguru","og_description":"1. Assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a standard deviation of 1. a. Find the z-score that separate the lowest 9% of scores from the highest 91%. b. For a randomly selected subject, find the probability of a score greater than -2.93. c....","og_url":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/","og_site_name":"onlineclassesguru","article_published_time":"2020-10-31T08:37:40+00:00","twitter_card":"summary_large_image","twitter_misc":{"Written by":"admin_admin","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/onlineclassesguru.com\/#website","url":"https:\/\/onlineclassesguru.com\/","name":"onlineclassesguru","description":"Cheap Professional coursework and reaction papers help","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/onlineclassesguru.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/#webpage","url":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/","name":"Mathematics - onlineclassesguru","isPartOf":{"@id":"https:\/\/onlineclassesguru.com\/#website"},"datePublished":"2020-10-31T08:37:40+00:00","dateModified":"2020-10-31T08:37:40+00:00","author":{"@id":"https:\/\/onlineclassesguru.com\/#\/schema\/person\/1831fa4d28e47b468621cf27932f5742"},"breadcrumb":{"@id":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/onlineclassesguru.com\/index.php\/2020\/10\/31\/mathematics\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/onlineclassesguru.com\/"},{"@type":"ListItem","position":2,"name":"Mathematics"}]},{"@type":"Person","@id":"https:\/\/onlineclassesguru.com\/#\/schema\/person\/1831fa4d28e47b468621cf27932f5742","name":"admin_admin","image":{"@type":"ImageObject","@id":"https:\/\/onlineclassesguru.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/429c8d043f7a770af242b0031e8b9f2b?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/429c8d043f7a770af242b0031e8b9f2b?s=96&d=mm&r=g","caption":"admin_admin"},"url":"https:\/\/onlineclassesguru.com\/index.php\/author\/admin_admin\/"}]}},"_links":{"self":[{"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/posts\/2949"}],"collection":[{"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/comments?post=2949"}],"version-history":[{"count":1,"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/posts\/2949\/revisions"}],"predecessor-version":[{"id":2950,"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/posts\/2949\/revisions\/2950"}],"wp:attachment":[{"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/media?parent=2949"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/categories?post=2949"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/onlineclassesguru.com\/index.php\/wp-json\/wp\/v2\/tags?post=2949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}