Question: Two groups of ten sprinters run 100 meters. The times required by sprinters in the first group are as follows:
10.2 12.3 12.5 10.4 11.1 11.5 10.8 11.8 13.4 10.0
The times required by sprinters in the second group are as follows:
15.5 15.2 16.0 12.4 17.4 19.7 14.8 10.4 15.8 11.9
Assuming that a = 0.05, test the hypothesis that the means of the two populations are equal.

? State the null and alternate hypotheses

? Calculate the mean and standard deviation for each group?

? Calculate the value of the test statistic.

? Determine the critical value(s).

? State your decision: Should the null hypothesis be rejected?