(Solution) - Rita Gibbons is a stand up comedian who videotapes her performances -(2025 Original AI-Free Solution)

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Rita Gibbons is a stand-up comedian who videotapes her performances and records the total of the times she must wait for audience laughter to subside. Given here are the times (in seconds) for 15 different shows in which she used a new routine. Test the claim that the mean time is greater than 63.2 s, the mean time for her old routine. Based on the results, does her new routine seem to be better than the old one? Use the 0.05 level of significance.

Use the traditional approach summarized in Figure 7-4. Draw a graph showing the test statistic and critical values. In each case, assume that the population has a distribution that is approximately normal and that the sample is randomly selected.