# Question

A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a process.

(a) If three-sigma limits are used, find the sample size for the control chart.

(b) Use the Poisson approximation to the binomial to find the probability of type I error.

Using the Poisson approximation to the binomial, = np = 100(0.10) = 10.

(c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction defective is actually p = 0.20.

(a) If three-sigma limits are used, find the sample size for the control chart.

(b) Use the Poisson approximation to the binomial to find the probability of type I error.

Using the Poisson approximation to the binomial, = np = 100(0.10) = 10.

(c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction defective is actually p = 0.20.

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