SouthsideHospitalin Bay Shore, New York, commonly conducts stress tests tostudy the heart muscle after a person has a heart attack. Members of thediagnostic imaging department conducted a quality improvement project with theobjective of reducing the turnaround time for stress tests. Turnaround time isdefined as the time from when a test is ordered to when the radiologist signsoff on the test results. Initially, the mean turnaround time for a stress testwas 68 hours. After incorporating changes into the stress-test process, thequality improvement team collected a sample of 50 turnaround times. In thissample, the mean turnaround time was 32 hours, with a standard deviation of 9hours. (Data extracted from E. Godin, D.Raven, C. Sweetapple, and F. R. Del Guidice, Faster Test Results, Quality Progress, January 2004, 37(1), pp. 3339.)

a. Ifyou test the null hypothesis at the 0.01 level of significance, is thereevidence that the new process has reduced turnaround time?

b. Interpretthe meaning of the p-value in this problem

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