Suppose that a health plan asserts that a patient hospitalized with coronary heart disease requires no more than 6.5 days of hospital care. However, we believe that a stay of 6.5 days is too low. To examine the claim of the health plan, assume further that we collected data depicting the lengths of stay of 40 patients who were hospitalized recently with coronary heart disease. The results of the sample are as follows:5,8,9,12,7,9,10,11,4,7,8,5,8,13,11,10,6,5,8,9,5,12,7,9,4,8,7,7,11,5,8,10,5,8,2,11,3,6,8,7
If α = 0.05, use these data to evaluate the claim by the health plan.