Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below:

Population 1: 66, 63, 72, 65, 73, 67, 70

Population 2: 75, 70, 77, 77, 71, 77, 69, 71

Is there evidence, at an level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested.

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form is expressed (-infty, a), an answer of the form is expressed (b, infty), and an answer of the form is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:





In order to get credit for this problem all answers must be correct.