A control chart for fraction nonconforming indicates that

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?

(Hint: use normal approximation)

c) What is the probability that this shift will be detected on the second sample taken after the shift?

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