# Question: The following fraction nonconforming control chart with n 100

The following fraction nonconforming control chart with n = 100 is used to control a process:

UCL = 0.0750; Center line = 0.0400; LCL = 0.0050

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

Pr{type I error}

(b) Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600.

(c) Draw the OC curve for this control chart.

(d) Find the ARL when the process is in control and the ARL when the process fraction nonconforming is 0.0600.

UCL = 0.0750; Center line = 0.0400; LCL = 0.0050

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

Pr{type I error}

(b) Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600.

(c) Draw the OC curve for this control chart.

(d) Find the ARL when the process is in control and the ARL when the process fraction nonconforming is 0.0600.

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