Consider a process where you are to design a fraction nonconforming control chart with three sigma limits Assume n 100, and p 0 080 What are the three sigma limits for the p chart Calculate the probability of a Type I error What is the ARL 0 for this process Construct the O C curve for this process Suppose the process fraction nonconforming shifts to p 1 0 15 A Compute the probability of a Type II error and the ARL 1 for this shift B What is the probability of detecting the shift to p 1 0 15 by at most the fourth sample after the shift

Question: Consider a process where you are to design a fraction nonconforming control chart with three sigma limits. Assume n = 100, and p = 0.080.

Consider a process where you are to design a fraction nonconforming control chart with three sigma limits. Assume n = 100, and p = 0.080.

What are the three-sigma limits for the p-chart?
Calculate the probability of a Type I error. What is the ARL₀ for this process?
Construct the O-C curve for this process.
Suppose the process fraction nonconforming shifts to p₁ = 0.15.
1. A. Compute the probability of a Type II error and the ARL₁ for this shift.
2. B. What is the probability of detecting the shift to p₁ = 0.15 by at most the fourth sample after the shift?

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