{"id":87212,"date":"2022-08-13T00:16:15","date_gmt":"2022-08-13T00:16:15","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/math-221-week-7-quiz\/"},"modified":"2023-01-04T13:53:45","modified_gmt":"2023-01-04T13:53:45","slug":"math-221-week-7-quiz","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/math-221-week-7-quiz\/","title":{"rendered":"Math 221 week 7 quiz"},"content":{"rendered":"<div>\n<h2>MATH 221 Statistics for Decision Making &#8211; DeVry<\/h2>\n<p><strong>1. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)<\/strong>\u00a0In the standard normal distribution, the standard deviation is always<\/p>\n<p><strong>2. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)<\/strong>\u00a0The area under a normal curve with mu = 8 and sigma = 3 is<\/p>\n<p><strong>3. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)<\/strong>\u00a0If Larry gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8, where does he stand in relation to his classmates?<\/p>\n<p><strong>4. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)<\/strong>\u00a0In a normal distribution with mu = 25 and sigma = 6, what number corresponds to z = 3?<\/p>\n<p><strong>5. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)\u00a0<\/strong>Let\u2019s assume you have taken 100 samples of size 64 each from a normally distributed population. Calculate the standard deviation of the sample means if the population\u2019s variance is 49.<\/p>\n<p><strong>\u00a06. Question :\u00a0\u00a0\u00a0\u00a0 (TCO 6)<\/strong>\u00a0The area to the left of \u2018z\u2019 is 0.9976. What z-score corresponds to this area?<\/p>\n<p><strong>7. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)<\/strong>\u00a0Find P(9 &lt; x &lt; 22) when mu = 20 and sigma = 5.<\/p>\n<p><strong>8. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 7)<\/strong>\u00a0What is the critical z-value that corresponds to a confidence level of 86%?<\/p>\n<p><strong>\u00a09. Question :\u00a0\u00a0\u00a0\u00a0 (TCO 7)<\/strong>\u00a0Compute the population mean margin of error for a 90% confidence interval when sigma is 4 and the sample size is 36.<\/p>\n<p><strong>10. Question :\u00a0\u00a0 (TCO 7)<\/strong>\u00a0A standard IQ test has a mean of 98 and a standard deviation of 16. We want to be 99% certain that we are within 8 IQ points of the true mean. Determine the sample size.<\/p>\n<p><strong>\u00a011. Question :\u00a0\u00a0 (TCO 7)<\/strong>\u00a0A private medical clinic wants to estimate the true mean annual income of its patients. The clinic needs to be within $500 of the true mean. The clinic estimates that the true population standard deviation is around $2,300. If the confidence level is 95%, find the required sample size in order to meet the desired accuracy.<\/p>\n<p><strong>12. Question :\u00a0\u00a0\u00a0 (TCO 7)<\/strong>\u00a0An auditor wants to estimate what proportion of a bank\u2019s commercial loan files are incomplete. The auditor wants to be within 10% of the true proportion when using a 95% confidence level. How many files must the auditor sample? No estimate of the proportion is available, so use 0.5 for the population proportion.<\/p>\n<p><strong>Explanatory\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><\/p>\n<p><strong>1. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 7)\u00a0<\/strong>Interpret a 95% confidence interval of (3.355, 3.445) for the population mean.<\/p>\n<p><strong>2. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 7)<\/strong>\u00a0A nursing school wants to estimate the true mean annual income of its alumni. It randomly samples 200 of its alumni. The mean annual income was $52,500 with a standard deviation of $1,800. Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find.<\/p>\n<p><strong>3. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 7)<\/strong>\u00a0An auditor wants to estimate what proportion of a bank\u2019s commercial loan files are incomplete. The auditor randomly samples 60 files and finds 12 are incomplete. Using a 95% confidence interval, estimate the true proportion of incomplete files for ALL the bank\u2019s commercial loans. Write a statement about the confidence level and the interval you find.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>MATH 221 Statistics for Decision Making &#8211; DeVry 1. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)\u00a0In the standard normal distribution, the standard deviation is always 2. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)\u00a0The area under a normal curve with mu = 8 and sigma = 3 is 3. Question :\u00a0\u00a0\u00a0\u00a0\u00a0 (TCO 6)\u00a0If Larry gets a 70 on a physics test where [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25],"tags":[],"class_list":["post-87212","post","type-post","status-publish","format-standard","hentry","category-statistics"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/87212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=87212"}],"version-history":[{"count":1,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/87212\/revisions"}],"predecessor-version":[{"id":111642,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/87212\/revisions\/111642"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=87212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=87212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=87212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}