{"id":28027,"date":"2024-06-14T01:00:56","date_gmt":"2024-06-14T01:00:56","guid":{"rendered":"https:\/\/www.writemyessays.app\/blog\/questions\/stat-280-applied-stats-001-su1-2024-week-6-discussion-6-confidence-intervals\/"},"modified":"2024-06-14T01:00:56","modified_gmt":"2024-06-14T01:00:56","slug":"stat-280-applied-stats-001-su1-2024-week-6-discussion-6-confidence-intervals","status":"publish","type":"questions","link":"https:\/\/www.writemyessays.app\/blog\/questions\/stat-280-applied-stats-001-su1-2024-week-6-discussion-6-confidence-intervals\/","title":{"rendered":"STAT 280 Applied Stats (001) SU1 2024 Week 6 Discussion 6 | Confidence Intervals"},"content":{"rendered":"<header style=\"margin-right: -15px; margin-bottom: 3px; font-size: 15px; cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<h3 style=\"font-weight: 700; font-size: 0.9375rem; line-height: 1.2; cursor: auto;\" data-reply-subject=\"Re: Discussion 6 |  Confidence Intervals\" data-region-content=\"forum-post-core-subject\">Discussion 6 | Confidence Intervals<\/h3>\n<div style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\"><\/div>\n<p><span style=\"margin: -1px; cursor: auto; color: inherit;\">Number of replies: 3<\/span><\/div>\n<\/header>\n<div style=\"font-size: 15px; cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<h3 style=\"margin-bottom: 0.5rem; font-weight: 700; font-size: 1.64062rem; line-height: 1.2; cursor: auto;\">REVIEW<\/h3>\n<\/div>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">Review the assigned reading to prepare for this discussion.&nbsp;<\/p>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">For the Real Estate Evaluation Project, you have been working solely with a random sample of a data set of property prices. You found the mean price of homes, townhomes, and units of your sample. How confident can you be that the sample means are actually representative of the true mean of the property prices of all homes, townhomes, and units in the region represented by the data? In this discussion, you will use your data from Part 1 of the Real Estate Evaluation Project to explore the meaning of a confidence interval. In preparation for this discussion, it is imperative that you complete the assigned reading prior to posting, taking good notes and working through the examples in the text (Chapter 8, &#8220;Confidence Intervals&#8221;).<\/p>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">For our purposes, assume that the property prices of<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"font-weight: bolder; cursor: auto; color: inherit;\">homes<\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>are normally distributed (this is a necessary condition for confidence intervals). The population standard deviation of the price of homes is known and is given by \u03c3<span style=\"font-size: 0.9375rem; cursor: auto; color: inherit;\">=$704,500.<\/span><\/p>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">Use your data set (<span style=\"font-weight: bolder; cursor: auto; color: inherit;\">TAB 2<\/span>) from<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"font-weight: bolder; cursor: auto; color: inherit;\">Part 1 of the Real Estate Evaluation Project<\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>to complete the<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"font-weight: bolder; cursor: auto; color: inherit;\"><a style=\"cursor: auto;\">table<\/a><\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>[DOWNLOAD]. For the sample size of<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">n<\/i><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>= 10, find the mean of the first 10 home prices from your random sample. For the sample size of<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">n<\/i><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>= 30, find the mean of the next 30 home prices from your random sample (not including the first ten home prices). For the sample size of<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">n<\/i><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>= 50, find the mean of the next 50 home prices from your random sample, which does not include any of the home prices used prior. For the sample size of<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">n<\/i><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>= 100, find the mean of the next 100 home prices from your random sample, which does not include any of the home prices used prior, if possible. Depending on how many homes were in your random sample, you may have to include some already-used property prices. Use technology, either Google sheets or another tool of your choice, to find the mean of the different samples.<\/p>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">\n<\/div>\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<h3 style=\"margin-bottom: 0.5rem; font-weight: 700; font-size: 1.64062rem; line-height: 1.2; cursor: auto;\">RESPOND<\/h3>\n<\/div>\n<ol style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">\n<li style=\"cursor: auto; color: inherit;\">Complete the<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><span style=\"font-weight: bolder; cursor: auto; color: inherit;\"><a style=\"cursor: auto;\">table<\/a><\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>[DOWNLOAD], and share it with your peers as a part of your initial post. Embed your table directly into your discussion post on the discussion board.<\/li>\n<ul style=\"cursor: auto; color: inherit;\">\n<li style=\"cursor: auto; color: inherit;\"><span style=\"font-weight: bolder; cursor: auto; color: inherit;\"><a style=\"cursor: auto;\">Instructions for Embedding Pictures Into a Discussion Post<\/a><\/span><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>[DOWNLOAD]<\/li>\n<\/ul>\n<li style=\"cursor: auto; color: inherit;\">Interpret the confidence interval in the context of the problem for the<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">n<\/i><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>= 100 case. In<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">Introduction to Statistics<\/i>&nbsp;by Barbara Illowsky &amp; Susan Dean, see the introduction of Chapter 8, as well as section 8.1, \u201cA Single Population Mean Using the Normal Distribution\u201d for guidance on the interpretation of a confidence interval.<\/li>\n<ul style=\"padding-bottom: 0.25em; cursor: auto; color: inherit;\">\n<li style=\"cursor: auto; color: inherit;\">How doe<span style=\"font-size: 0.9375rem; cursor: auto; color: inherit;\">s sample size appear to affect the sample mean? How does sample size affect the 95% confidence interval, if at all.<\/span><\/li>\n<\/ul>\n<li style=\"cursor: auto; color: inherit;\">Compare your 95% confidence interval for<span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span><i style=\"cursor: auto; color: inherit;\">n<\/i><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>= 100 with that of your peers. Additionally, comment on the role that sample size plays in statistics in general. What effect would the inclusion of sample size in a report that provides statistics have on an audience? Explain.<\/li>\n<\/ol>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\"><span style=\"font-weight: bolder; cursor: auto; color: inherit;\">Requirements<\/span><\/p>\n<ul style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">\n<li style=\"cursor: auto; color: inherit;\">Initial posts: 150-250 words<\/li>\n<\/ul>\n<p style=\"margin-bottom: 1rem; cursor: auto; color: inherit;\">\n<\/div>\n<div style=\"cursor: auto; color: inherit;\">\n<div style=\"cursor: auto; color: inherit;\">\n<h3 style=\"margin-bottom: 0.5rem; font-weight: 700; font-size: 1.64062rem; line-height: 1.2; cursor: auto;\">DISCUSS<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Discussion 6 | Confidence Intervals Number of replies: 3 REVIEW Review the assigned reading to prepare for this discussion.&nbsp; For the Real Estate Evaluation Project, you have been working solely with a random sample of a data set of property prices. You found the mean price of homes, townhomes, and units of your sample. 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\/28027"}],"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=28027"}],"version-history":[{"count":0,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/28027\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/media?parent=28027"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/disciplines?post=28027"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/paper_types?post=28027"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/tagged?post=28027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}