Average heart rate for Americans is 72 beats/minute. A group of 25 individuals participated in an aerobics fitness program to lower their heart rate. After six months the group was evaluated to identify is the program had significantly slowed their heart. The mean heart rate for the group was 69 beats/minute with a standard deviation of 6.5. Was the aerobics program effective in lowering heart rate? Use a significance level of alpha = 0.01

there is no significant evidence to support the claim that aerobic program was effective in lowering heart rate.

Explanation:

H0 : μ = 72

H1 : μ < 72

xbar = 69 ; s = 6.5 ; n = 25

Test statistic = (xbar - μ) ÷ s /sqrt(n)

(69 - 72) ÷ 6.5 / sqrt(25)

-3 ÷ 1.3 = - 2.3077

The Pvalue obtained from the value of the test statistic :

Pvalue = p(Z < - 2.3077) = 0.0105 = 0.011

α = 0.01

Comparing the Pvalue and α in other to make a decision:

Pvalue > α ; We fail to reject H0

Hence, there is no significant evidence to support the claim that aerobic program was effective in lowering heart rate.