Question: Consider a P-chart with subgroup size n = 50 and center line at 0.12. (a) Calculate the LCL and UCL. (b) Suppose that the true

Consider a P-chart with subgroup size n = 50 and center line at 0.12.

(a) Calculate the LCL and UCL.

(b) Suppose that the true proportion defective changes from 0.12 to 0.18. What is the ARL after the shift? Assume that the sample proportions are approximately normally distributed.

(c) Rework part (a) and (b) with n = 100 and comment on the difference in ARL. Does the increased sample size change the ARL substantially?

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