Question: A process is being controlled with a fraction nonconforming control chart. The process average has been shown to be 0.07. Three-sigma control limits are used,

A process is being controlled with a fraction nonconforming control chart. The process average has been shown to be 0.07. Three-sigma control limits are used, and the procedure calls for taking daily samples of 400 items.
(a) Calculate the upper and lower control limits.
(b) If the process average should suddenly shift to 0.10, what is the probability that the shift would be detected on the first subsequent sample?
(c) What is the probability that the shift in part (b) would be detect on the first or second sample taken after the shift?

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