Question: A process is controlled by a P chart using samples of size 100. The center line on the chart is 0.05. (a) What is the

A process is controlled by a P chart using samples of size 100. The center line on the chart is 0.05.

(a) What is the probability that the control chart detects a shift to 0.06 on the first sample following the shift?

(b) What is the probability that the control chart does not detect a shift to 0.06 on the first sample following the shift but does detect it on the second sample?

(c) Suppose that instead of a shift in the mean to 0.06, the mean shifts to 0.08. Repeat parts

(a) and (b).

(d) Compare your answers for a shift to 0.06 and for a shift to 0.08. Explain why they differ. Also explain why a shift to 0.08 is easier to detect.

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