Reconsider the data from Exercise 6.1.23 about times spent in a public restroom by men and women in a Michigan mall. The average time in the bathroom was 106.65 (SD = 79.611) for the 40 men and 133.5 (SD = 62.369) for the 40 women. The data are not strongly skewed in either group. Conduct a two-sample t-test of whether the sample data provide strong evidence that the population mean restroom times differ between the two sexes. Be sure to check whether the technical conditions are satisfied, state the hypotheses, report the test statistic and p-value, and summarize your conclusion.

Data from exercise 6.1.23

Students collect the time (in seconds) for men and women to use the restroom at a mall in Michigan. The results are shown in the 6.1.23 histograms.

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Male (n = 40) Female (n = 40) 500 100 200 300 400 Time