The x and R values for 20 samples of size 5 are shown in Table 10E.6. Specifications on this product have been established as 0.550 ± 0.02.
(a) Construct a modified control chart with three-sigma limits, assuming that if the true process fraction nonconforming is as large as 1%, the process is unacceptable.
(b) Suppose that if the true process fraction nonconforming is as large as 1%, we would like an acceptance control chart to detect this out-of-control condition with probability 0.90. Construct this acceptance control chart, and compare it to the chart obtained in part (a).