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)...

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.

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