Examine the following data. Assume the variances for the two populations are 22.74 and 26.65 respectively.

a. Use the data to test the following hypotheses (α = .02).

b. Construct a 98% confidence interval to estimate the difference in population means using these data. How does your result validate the decision you reached in part(a)?

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Sample 1 90 88 80 88 83 94 88 87 91 81 83 88 81 84 84 87 87 93 88 90 91 88 84 83 89 95 97 95 93 97 Sample 2 78 85 82 81 75 76 90 80 76 83 88 77 77 75 79 86 90 75 82 83 88 80 80 74 80 90 74 89 84 79