According to the Journal of the American Medical Association, resident doctors worked an average of 59.3 hours per week at hospitals from 2006 to 2008. The Accreditation Council for Graduate Medical Education, which certifies residency programs in hospitals, has developed a plan to reduce the long hours resident doctors work.

To investigate the plan’s effectiveness, a random sample of the hours worked per week by 20 resident doctors was recently selected. They are as follows:

53 57 52 65 70 51 55 61 49 61 54 64 44 57 55 60 53 61 51 56 Using a = 0.05, answer the following:

a. State the null and alternative hypotheses.

b. Does this sample provide enough evidence to suggest that the new residency plan is effective?

c. Estimate the p-value for this test using Table 5 in Appendix A.

d. Determine the precise p-value for this test using Excel.

e. Use PHStat to validate these results.

f. What assumptions need to be made to perform this analysis?

AppendixLO1