An analyst has suggested a new design for the process in Exercise 9.14. A simulation of the proposed process yielded the WIP values in Table 9.39. Test the hypothesis that the new process has a mean WIP that is less than the average of the old process.

Assume a 5% significance level.

TABLE 9.37 Probability Distribution for Exercise 9.12 Value Probability 5 0.12 6 0.28 7 0.27 8 0.33 TABLE 9.38 WIP Data for Exercise 9.14 26 31 27 29 27 28 28 27 28 26 28 27 31 32 24 25 25 29 28 28 27 26 23 30 25 31 26 25 27 30 29 25 30 30 27 27 26 25 23 27 TABLE 9.39 WIP Data for Exercise 9.15 25 21 21 24 27 24 23 25 26 24 25 26 29 24 23 26 24 26 24 28 28 17 21 26 26 26 27 26 22 23 25 29 25 19 20 27 22 22 25 25 TABLE 9.40 Data for Exercise 9.16 Day (Run Number)
Average No.
of Patients Day (Run Number)
Average No.
of Patients 1 23 6 19 2 45 7 32 3 12 8 8 4 21 9 14 5 31 10 5