Question 1:

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.

Question 2:

Suppose that the medical staff indicated that the results of a given laboratory procedure must be available 30 min after the physician submits a request for the service. In this situation, if the results arrived 30 min or less after the request, we regard the performance of the laboratory as timely. If results arrived more that 30 minutes after the request, we regard the performance as tardy. Focusing on the day, evening, and night shifts, suppose that we selected a random sample and obtained the following results. If α = 0.05