Question

(1 point)

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: 72, 62, 64, 64, 65, 72, 68

Population 2: 72, 74, 69, 71, 69, 72, 68, 68

Is there evidence, at an α=0.065α=0.065 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 (−∞,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 H1H1.
B. Reject H0H0.
C. Do Not Reject H0H0.
D. Do Not Reject H1H1.

Answer 1

A) test statistics =-2.2256

B) If p value <=0.065 then we reject H0

C) pvalue =0.022

D) B) Reject H0