Question

An investigator theorizes that people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly different from that of people who do

not participate in a regular program of exercise. To test this idea the investiga tor randomly assigns 21 subjects to an exercise program for 10 weeks and 21 subjects to a nonexercise comparison group. After ten weeks the mean systolic blood pressure of subjects in the exercise group is 137 and the standard deviation of blood pressure values in the exercise group is 10.

After ten weeks, the mean systolic blood pressure of subjects in the non -exercise group is 127 and the standard deviation on subjects in the non-exercise group is 9.0.Test the investigators theory using an alpha level of .05

A) What type of statistical testing procedure is appropriate here?

B) Formulate an appropriate null and alternative hypothesis: Ho: Ha:

C) Compute a test statistic

D) Find the P-Value

E) Make conclusion

I understand how to figure out the null and alternative, but I have no idea where to start with the rest. Please help me, all is appreciated.

Answer 1

The sample means are . The sample standard deviations are . Sample sizes are .

A) We use a two-tailed t-test to test whether people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly different from that of people who do not participate in a regular program of exercise.

B) The hypotheses are

C) The test statistic is

D) The P-value of the test is

E) Since the , we reject the null hypothesis.

We can conclude with 95% confidence that people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly different from that of people who do not participate in a regular program of exercise.