Question: Two groups of ten sprinters run 100 meters. The times required by sprinters in the first group are as follows:
12.2 12.0 12.8 11.9 12.9 10.0 14.3 12.7 11.6 11.0
The times required by sprinters in the second group are as follows:
12.2 14.7 11.5 11.6 16.2 19.6 17.3 10.4 13.1 12.8
Assuming that a = 0.02, 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?