Knowledge of the amount of time a patient occupies a hospital bed—called length of stay (LOS)—is important for allocating resources. At one hospital, the mean LOS was determined to be 5 days. A hospital administrator believes the mean LOS may now be less than 5 days due to a newly adopted managed health care system. To check LO9 this, the LOSs (in days) for 100 randomly selected hospital patients were recorded; these data are listed in Table 8.4. Suppose we want to test the hypothesis that the true mean length of stay at the hospital is less than 5 days; that is, H0: m = 51Mean LOS after adoption is 5 days2 Ha: m 6 51Mean LOS after adoption is less than 5 days2 Assuming that s = 3.68, use the data in the table to conduct the test at a = .05.

using p-Values—Test of Mean Hospital Length of Stay Example 8.7 Table 8.4 Lengths of Stay for 100 Hospital Patients 2 3 8 6 4 4 6 4 2 5 8 10 4 4 4 2 1 3 2 10 1 3 2 3 4 3 5 2 4 1 2 9 1 7 17 9 9 9 4 4 1 1 1 3 1 6 3 3 2 5 1 3 3 14 2 3 9 6 6 3 5 1 4 6 11 22 1 9 6 5 2 2 5 4 3 6 1 5 1 6 17 1 2 4 5 4 4 3 2 3 3 5 2 3 3 2 10 2 4 2