Question

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: 71, 63, 68, 71, 72, 66, 73

Population 2: 68, 78, 71, 68, 75, 69, 76, 72

Is there evidence, at an α=0.07 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? 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 (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) 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:

A. Reject H0
B. Do Not Reject H1
C. Do Not Reject H0
D. Reject H1

Answer 1

From the given data

Test for Difference of Means:

(1) Null and Alternative Hypothesis:

H0:  there those who exercise regularly have not lower resting heart rates

H1:  there those who exercise regularly have lower resting heart rates

Thus we conclude that  there those who exercise regularly have not lower resting heart rates