Question: A control chart for fraction nonconforming indicates that the current process average is 0.03. The sample size is constant at 200 units. (a) Find the

A control chart for fraction nonconforming indicates that the current process average is 0.03. The sample size is constant at 200 units.
(a) Find the three-sigma control limits for the control chart.
(b) What is the probability that a shift in the process average to 0.08 will be detected on the first subsequent sample? What is the probability that this shift will be detected at least by the fourth sample following the shift?

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