{"id":13751,"date":"2024-02-28T22:10:51","date_gmt":"2024-02-28T22:10:51","guid":{"rendered":"https:\/\/www.writemyessays.app\/blog\/questions\/assignment-4-construct-and-interpret-confidence-intervals-for-means-using-simulations\/"},"modified":"2024-02-28T22:10:51","modified_gmt":"2024-02-28T22:10:51","slug":"assignment-4-construct-and-interpret-confidence-intervals-for-means-using-simulations","status":"publish","type":"questions","link":"https:\/\/www.writemyessays.app\/blog\/questions\/assignment-4-construct-and-interpret-confidence-intervals-for-means-using-simulations\/","title":{"rendered":"Assignment 4: Construct and Interpret Confidence Intervals for Means Using Simulations"},"content":{"rendered":"<p>Analysis:\u00a0<br \/>\nNormal Distribution\u00a0<br \/>\n\t1. What is the proportion of the 95% confidence intervals that contain 50 when n=10?\u00a0 When n=50?\u00a0<br \/>\n\t2. What is the proportion of the 99% confidence intervals that contain 50 when n=10?\u00a0 When n=50?\u00a0<br \/>\n\t3. How does the typical width of the confidence interval change when the confidence level increases?\u00a0<br \/>\n\t4. How does the typical width of the confidence interval change as the sample size increases?\u00a0<\/p>\n<p>Right Skewed Distribution\u00a0<br \/>\n\t1. What is the proportion of the 95% confidence intervals that contain 50 when n=10?\u00a0 When n=50?\u00a0<br \/>\n\t2.What is the proportion of the 99% confidence intervals that contain 50 when n=10?\u00a0 When n=50?\u00a0<br \/>\n\t3\tHow does the typical width of the confidence interval change when the confidence level increases?\u00a0<br \/>\n\t4\tHow does the typical width of the confidence interval change as the sample size increases?\u00a0<br \/>\n\t5\tWhat was one obvious difference when comparing your conference intervals when sampling from a Normal Distribution vs. a Skewed Distribution?\u00a0 What was consistent (similar) when increasing the sample size for both Normal and Skewed Distributions?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Analysis:\u00a0 Normal Distribution\u00a0 1. What is the proportion of the 95% confidence intervals that contain 50 when n=10?\u00a0 When n=50?\u00a0 2. What is the proportion of the 99% confidence intervals that contain 50 when n=10?\u00a0 When n=50?\u00a0 3. How does the typical width of the confidence interval change when the confidence level increases?\u00a0 4. How [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[8],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/13751"}],"collection":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/comments?post=13751"}],"version-history":[{"count":0,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/13751\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/media?parent=13751"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/disciplines?post=13751"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/paper_types?post=13751"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/tagged?post=13751"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}