1. Suppose that a health plan assertsthat a patient hospitalized withcoronary heart disease requiresno more than 6.5 days of hospital care. However,we believe that astay of 6.5 days is too low. To examine the claim of the healthplan, 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 toevaluate the claim by the healthplan.

2. Suppose that the medical staff indicates that the results ofa givenlaboratory procedure must beavailable 30 minutes after thephysician submits a request forthe service.In this situation,ifthe results arrived 30 minutes orless after the request,we regardthe performance of the laboratory as timely.Ifresults arrivedmore than 30 minutes after therequest, we regard the performance as tardy.Focusing on theday,evening,and night shifts, suppose that we selected a random sample and obtained thefollowing results:

Shift

PerformanceDayEveningNight

Timely1008040

Tardy203040

If α = 0.05, use these results totest the proposition that the performance of the laboratory is in-dependent of shift.