The MS Excel printout shows a test for the difference in two population means.

a. Do the two sample variances indicate that the assumption of a common population variance is reasonable?
b. What is the observed value of the test statistic? If this is a two-tailed test, what is the p-value associated with the test?
c. What is the pooled estimate s2 of the population variance?
d. Use the answers to part b to draw conclusions about the difference in the two population means.
e. Use the information in the printout to construct a 95% confidence interval for the difference in the population means. Does this interval confirm your conclusions in part d?

t-Test: Two-Sample Assuming Equal Variances Sample 1 Somple 2 28.667 28.286 5.067 2.238 Mean Variance Observations Pooled Variance Hypothesized Mean Difference df tStat P(Tc=t) one-tail t Critical one-tail P(T < t) two-tail t Critical two-tail 3.524 0 0.365 0.361 1.796 0.722 2.201