{"id":27185,"date":"2023-08-08T11:23:32","date_gmt":"2023-08-08T11:23:32","guid":{"rendered":"https:\/\/www.goodacademic.com\/blog\/questions\/hypothesis-testing-i-and-ii-testing-differences-between-means-variances-and-proportions\/"},"modified":"2023-08-08T11:23:32","modified_gmt":"2023-08-08T11:23:32","slug":"hypothesis-testing-i-and-ii-testing-differences-between-means-variances-and-proportions","status":"publish","type":"questions","link":"https:\/\/www.goodacademic.com\/blog\/questions\/hypothesis-testing-i-and-ii-testing-differences-between-means-variances-and-proportions\/","title":{"rendered":"Hypothesis testing I and II; Testing differences between means, variances and proportions"},"content":{"rendered":"

A town official claims that the average vehicle in their area sells for <\/span><\/span>more than<\/strong> the 40<\/span>th<\/sup> percentile of your data set. Using the data, you obtained in week 1, as well as the summary statistics you found for the original data set (excluding the super car outlier), run a hypothesis test to determine if the claim can be supported.  Make sure you state all the important values, so your fellow classmates can use them to run a hypothesis test as well.  Use the descriptive statistics you found during Week 2 NOT the new SD you found during Week 4.  Because again, we are using the original 10 sample data set NOT a new smaller sample size.  Use alpha = .05 to test your claim.<\/span><\/p>\n


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(Note: You will want to use the function =PERCENTILE.INC  in Excel to find the 40<\/span>th<\/sup> percentile of your data set.  Hopefully this Excel function looks familiar to you from Week 2.)<\/span>
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First determine if you are using a <\/span><\/span>z<\/em> <\/span>or <\/span><\/span>t<\/em>-test and explain why. Then conduct a four-step hypothesis test including a sentence at the end justifying the support or lack of support for the claim and why you made that choice.<\/span><\/b>
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I encourage you to review the <\/span>Week 6 Hypothesis Testing PDF <\/b><\/em>at the bottom of the discussion.  This will give you a step by step example on how to calculate and run a hypothesis test using Excel. I DO NOT recommend doing this by hand.  Let Excel do the heavy lifting for you.  You can also use this PDF in Quizzes section.<\/span>
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Use the excel file for the car numbers and prices<\/b><\/span><\/span><\/span><\/div>\n

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A town official claims that the average vehicle in their area sells for more than the 40th percentile of your data set. Using the data, you obtained in week 1, as well as the summary statistics you found for the original data set (excluding the super car outlier), run a hypothesis test to determine if the claim can […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[658],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/27185"}],"collection":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/comments?post=27185"}],"version-history":[{"count":0,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/27185\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/media?parent=27185"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/disciplines?post=27185"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/paper_types?post=27185"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/tagged?post=27185"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}