Question: Two groups of ten sprinters run 100 meters. The times required by sprinters in the first group are as follows: 13.7 14.2 13.2 11.3 12.6 10.0 10.1 14.1 13.8 13.2 The times required by sprinters in the second group are as follows: 17.3 10.6 14.0 15.9 15.1 13.4 18.9 17.2 17.6 10.1 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?