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The and R values for 20 samples of size n = 5 are shown below. The specification limits of this product are 530-570.

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(a) Construct a modified control chart with 3σ limits. Assume that if the true fraction nonconforming is as large as 1%, the process is acceptable. Is this process satisfactory?

(b) Suppose that if the true fraction nonconforming is as large as 1%, the modified control chart should detect this out-of-control condition with probability 0.9. Construct the modified chart and compare it to the chart obtained in part (a).

(c) Is this process in statistical control?

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