# Question: The x and R values for 20 samples of size

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).

(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).

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