(Solution) - The finish times in minutes for runners in three mile courses -(2025 Original AI-Free Solution)

Paper Details

The finish times (in minutes) for runners in three-mile courses at Events A and B are shown in Fig. 73. At each event, the women?s mean time was 19 minutes and the men?s mean time was 17 minutes. At one event, the standard deviations for the women?s times and the men?s times were both 0.5 minute. At the other event, the standard deviations for the women?s times and the men?s times were both 2.5 minutes.

a. At which Event, A or B, were the standard deviations for women and men both 0.5 minutes?
b. At which Event, A or B, were the standard deviations for women and men both 2.5 minutes?
c. Refer to the given means and standard deviations to explain why the distribution for Event A is unimodal but the distribution for Event B is bimodal.
d. When determining how different women?s times are from men?s times, explain why it is not enough to simply compare the mean times.