A control chart is used to control the fraction nonconforming for a plastic part manufactured in an injection molding process. Ten subgroups yield the data in Table 7E.9.

(a) Set up a control chart for the number nonconforming in samples of n = 100.
(b) For the chart established in part (a), what is the probability of detecting a shift in the process fraction nonconforming to 0.30 on the first sample after the shift has occurred?

TABLE 7E.9 Nonconforming UUnit Data for Exercise 7.23 Sample Sample Number Number Nonconforming 10 15 31 18 24 12 23 15 Size 100 100 100 100 100 100 100 100 100 100 8 10