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?

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