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The data below record the number of hours a team of workers takes to assemble a custom-built motorcycle. The data are recorded for 10 different teams each assembling a motorcycle.
89 78 48 85 67 45 60 62 62 56
(a) Construct a 90% confidence interval by hand for the mean time it takes a team of workers to assemble a custom-built motorcycle.
(b) By how much does the confidence interval width of a 95% interval differ from that of a 90% interval for this data?
(c) Suppose instead, the manager had performed a hypothesis test at the 10% level of the null that μ = 60 hours vs the alternative that μ < 60. Compute the p-value for his hypothesis test and summarize the conclusion that he would have drawn from the sample that he observed.
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