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A control chart for nonconformities is to be constructed with c = 2.0, LCL = 0, and UCL such that the probability of a point

A control chart for nonconformities is to be constructed with c = 2.0, LCL = 0, and UCL such that the probability of a point plotting outside control limits when c=2.0 is only 0.005.

(a) Find the UCL

(b) What is the type I error probability if the process is assumed to be out of control only when two consecutive points fall outside the control limits?

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