Reconsider the crystal growth experiment from Exercise 14.12. Suppose that x3 = z is now a noise variable, and that the modified experimental design shown in Table 14E.7 has been conducted. The experimenters want the growth rate to be as large as possible, but they also want the variability transmitted from z to be small. Under what set of conditions is growth greater than 90 with minimum variability achieved?

The design and data are in the Minitab worksheet Ex14-14.MTW.

TABLE 14E.7 Crystal Growth Experiment for Exercise 14.14 80 100 1 75 -1682 0 1.682 0 -1.682 0 682 0 0 83 0 0 0 0 0 91 0