Consider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample 1: XXXXXXXXXX 7.4 8.7 XXXXXXXXXX XXXXXXXXXX Sample 2: 11.7 XXXXXXXXXX...

1. Consider the following set of samples obtained from two normally distributed populations whose variances are equal:

Sample 1: 11.2 11.2  7.4  8.7  8.5 13.5  4.5 11.9

Sample 2: 11.7  9.5 15.6 16.5 11.3 17.6 17.0  8.5

A) Suppose that the samples were independent. Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05.