3. You are looking to test whether the mean resting heart rate for people who exercise regularly is
less than the mean resting heart rate for people who do not. You randomly sample 17 people
that exercise regularly and compute a sample mean of 69.4 bpm and a sample standard
deviation of 4.57 bpm. You randomly sample 16 people that do not exercise regularly and
compute a sample mean of 73.25 bpm and a sample standard deviation of 3.30 bpm. We are
interested in finding out if the new approach is better at a 2% significance level.
a. State the hypotheses to be tested.
b. The test resulted in a t-value of -2.779 with 29 degrees of freedom. Compute the P-value.
Detail how you got your number.
c. Based on your P-value, what decision do you make at a 2% significance level: Reject H0 or
do not reject H0?
d. Based on your decision what conclusion can you make about comparing the two sets of
people?