A study is run to evaluate the effectiveness of an exercise program in reducing systolic blood pressure in patients with pre-hypertension (defined as a systolic blood pressure between 120-139 mmHg or a diastolic blood pressure between 80-89 mmHg). A total of 7 patients with pre-hypertension enroll in the study, and their systolic blood pressures are measured. Each patient then participates in an exercise training program where they learn proper techniques and execution of a series of exercises. Patients are instructed to do the exercise program 3 times per week for 6 weeks. After 6 weeks, systolic blood pressures are again measured. The data are shown below. Is there is a difference in systolic blood pressures after participating in the exercise program as compared to before? State the hypotheses. What statistical test should be used to determine if there is a difference in systolic blood pressures before and after the exercise program? Determine the appropriate critical value and set up the decision rule. (α=0.05) Compute the test statistic. Interpret your results. Give your conclusion.

A study is run to evaluate the effectiveness of an exercise program in reducing systolic blood pressure in patients with pre-hypertension (defined as a systolic blood pressure between 120-139 mmHg or a diastolic blood pressure between 80-89 mmHg). A total of 7 patients with pre-hypertension enroll in the study, and their systolic blood pressures are measured. Each patient then participates in an exercise training program where they learn proper techniques and execution of a series of exercises. Patients are instructed to do the exercise program 3 times per week for 6 weeks. After 6 weeks, systolic blood pressures are again measured. The data are shown below. Is there is a difference in systolic blood pressures after participating in the exercise program as compared to before?

1. State the hypotheses.
2. What statistical test should be used to determine if there is a difference in systolic blood pressures before and after the exercise program?
3. Determine the appropriate critical value and set up the decision rule. (α=0.05)
4. Compute the test statistic.
5. Interpret your results.
6. Give your conclusion.