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Comparing two populations or processes examples

Comparing two populations or processes examples - Comparing...

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Unformatted text preview: Comparing two populations or processes – Examples 1. A company produces special running shoes. In their advertisement, they claim that using their shoes will make runners faster. Each of the 85 members of the football team at Eastern Michigan University ran the 40 yard dash with their current shoes and ran the 40 yard dash with the special running shoes. Here is a summary of the results: average time with current shoes 5.20 seconds average time with special shoes 5.29 seconds average difference (current - special) in times-0.09 seconds SD of difference 0.70 seconds Let μ 1 be the mean of the distribution of 40-yard dash times with the current shoes and let μ 2 be the mean of the distribution of 40-yard dash times with the special shoes. Define μ = μ 1- μ 2 . Is there statistical evidence at the 10% significance level that μ > 0? (a) State H and H a (b) Just looking at the observed sample mean of the differences, explain why we can immediately fail to reject H at the 10% level. (c) What assumptions must be made to conduct this hypothesis test. (d) Compute the rejection region for this test. (e) Calculate the test statistic realization....
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