Reconsider the previous exercise. Determine a 95% confidence interval for comparing the population mean restroom times between the two sexes. Also interpret what this interval says. Finally, comment on whether the confidence interval is consistent with the conclusion of your significance test in the previous exercise.

Data from previous exercise

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.

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.

Transcribed Image Text:

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