Question: Suppose that a health plan asserts that a patient hospitalized with coronary heart disease requires on average 6.5 days of hospital care. However, we believe that the average stay of 6.5 days is too low. To examine the claim of the health plan, we collected data of 40 patients who were hospitalized recently with coronary heart disease and found the average stay to be 8 days with a standard deviation of 3 days. Can you conclude at alpha = 0.05 that indeed the average time is greater than 6.5 days? (use the p-value method or the rejection region method).