Suppose you measure the resting heart rates (beats per minute) in a sample of "overweight" (defined as BMI > 25) and "normal weight" (defined as BMI between 18.5 and 25) men at a state university. There are 25 overweight men and 20 normal weight men in the sample. Is there a significant difference in the resting heart rates of the two groups? Resting Heart Rates (Beats per minute)

Overweight: 78, 100, 100, 88, 62, 94, 61, 88, 78, 76, 77, 90, 96, 85, 83, 82, 67, 77, 79, 91, 80, 75, 75, 68, 90

Normal: 72, 82, 64, 64, 84, 61, 68, 69, 78, 80, 87, 58, 96, 68, 66, 62, 72, 64, 76, 95

a) Using correct statistical notation, state the appropriate null and alternative hypotheses.

b) State the rejection region at the 5% alpha level i.e. determine the decision rule.

c) Compute the value of your test statistic. Where, overweight =81.60, Soverweight = 10.74, normal =73.30, Snormal = 11.10

d) Sketch the appropriate curve to aid in your decision to reject or fail to reject the null hypothesis.

e) Do you reject or fail to reject the null hypothesis? Why or why not?

f) State your practical conclusion.

g) Report the p-value h) Construct a 95% CI for the sample proportion. Interpret this interval.