{"id":47898,"date":"2022-04-02T08:44:06","date_gmt":"2022-04-02T08:44:06","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/isds-361b-homework-assignment-numerical-analysis-homework-help\/"},"modified":"2022-04-02T08:44:06","modified_gmt":"2022-04-02T08:44:06","slug":"isds-361b-homework-assignment-numerical-analysis-homework-help","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/isds-361b-homework-assignment-numerical-analysis-homework-help\/","title":{"rendered":"Isds 361b homework assignment | Numerical analysis homework help"},"content":{"rendered":"<div>\n<p>HW2 ISDS 361B<br \/>\u00a0<br \/>\u00a01 of 2 <br \/>\u00a0<br \/>Where applicable, round your answers to three decimal places, e.g. 0.657. <br \/>1. A normally distributed population has a mean of 40 and a standard deviation of 12. What does the <br \/>central limit theorem say about the sampling distribution of the mean if samples of size 100 are <br \/>drawn from this population? <br \/>\u00a0<br \/>2. A sample of n = 16 observations is drawn from a normal population with \u00b5 = 1,000 and \u03c3 = 200. Find <br \/>the following. <br \/>a. \ufffd(\ufffd\u0d24 &gt; 1,050) <br \/>b. \ufffd(\ufffd\u0d24 &lt; 960) <br \/>c. \ufffd(\ufffd\u0d24 &gt; 1,100) <br \/>\u00a0<br \/>3. The heights of North American women are normally distributed with a mean of 64 inches and a <br \/>standard deviation of 2 inches. <br \/>a. What is the probability that a randomly selected woman is taller than 66 inches? <br \/>b. A random sample of four women is selected. What is the probability that the sample mean <br \/>height is greater than 66 inches? <br \/>c. What is the probability that the mean height of a random sample of 100 women is greater <br \/>than 66 inches? <br \/>\u00a0<br \/>4. The number of pizzas consumed per month by university students is normally distributed with a <br \/>mean of 10 and a standard deviation of 3. <br \/>a. What proportion of students consumes more than 12 pizzas per month? <br \/>b. What is the probability that in a random sample of 25 students more than 275 pizzas are <br \/>consumed? (Hint: What is the mean number of pizzas consumed by the sample of 25 <br \/>students?) <br \/>Use the normal approximation without the correction factor to find the probabilities in the exercises 5, 6, <br \/>and 7. <br \/>5. <br \/>a. In a binomial experiment with n = 300 and p = .5, find the probability that \ufffd\u0de0 is greater than <br \/>60%. <br \/>b. Repeat part (a) with p = .55 <br \/>c. Repeat part (a) with p = .6 <br \/>\u00a0<br \/>6. A commercial for a manufacturer of household appliances claims that 3% of all its products require a <br \/>service call in the first year. A consumer protection association wants to check the claim by <br \/>surveying 400 households that recently purchased one of the company\u2019s appliances. What is the <br \/>probability that more than 5% require a service call within the first year? What would you say about <br \/>the commercial\u2019s honesty if in a random sample of 400 households 5% report at least one service <br \/>call? HW2 ISDS 361B<br \/>\u00a0<br \/>\u00a02 of 2 <br \/>\u00a0<br \/>7. An accounting professor claims that no more than one-quarter of undergraduate business student <br \/>will major in accounting. What is the probability that in a random sample of 1,200 undergraduate <br \/>business students, 336 or more will major in accounting? <br \/>\u00a0<br \/>8. Suppose that we have two normal populations with the means and standard deviations listed here. <br \/>If random samples of size 25 are drawn from each population, what is the probability that the mean <br \/>of sample 1 is greater than the mean of sample 2? <br \/>\u00a0Population 1: \u00b5 = 40, \u03c3 = 6 <br \/>\u00a0Population 2: \u00b5 = 38, \u03c3 = 8 <br \/>9. A factory\u2019s worker productivity is normally distributed. One worker produces an average of 75 units <br \/>per day with a standard deviation of 20. Another worker produces at an average rate of 65 per day <br \/>with a standard deviation of 21. What is the probability that during one week (5 working days), <br \/>worker 1 will outproduce worker 2? <br \/>\u00a0<br \/>10. The average North American loses an average of 15 days per year to colds and flu. The natural <br \/>remedy echinacea reputedly boosts the immune system. One manufacturer of echinacea pills claims <br \/>that consumers of its product will reduce the number of days lost to colds and flu by one-third. To <br \/>test the claim, a random sample of 50 people was drawn. Half took echinacea, and the other half <br \/>took placebos. If we assume that the standard deviation of the number of days lost to colds and flu <br \/>with and without echinacea is 3 days, find the probability that the mean number of days lost for <br \/>echinacea users is less than that for nonusers.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>HW2 ISDS 361B\u00a0\u00a01 of 2 \u00a0Where applicable, round your answers to three decimal places, e.g. 0.657. 1. A normally distributed population has a mean of 40 and a standard deviation of 12. What does the central limit theorem say about the sampling distribution of the mean if samples of size 100 are drawn from this [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-47898","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/47898","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=47898"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/47898\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=47898"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=47898"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=47898"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}