Test the Given Claim $\begin{array} { l l l l l l l } 54 & 59 & 69 & 84 & 74 & 64 & 69 \\70 & 66 & 80 & 59 & 71 & 76 & 63\end{array}$

Essay

Test the given claim. Use the P -value method or the traditional method as indicated. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s) or P -value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. Use a 0.05 significance level to test the claim that these sample pulse rates come from a population with a mean less than 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 6.6 beats per minute. Use the traditional method of testing hypotheses.
$\begin{array} { l l l l l l l } 54 & 59 & 69 & 84 & 74 & 64 & 69 \\70 & 66 & 80 & 59 & 71 & 76 & 63\end{array}$