# 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.

## Answer to relevant Questions

A process that produces bearing housings is controlled with a fraction nonconforming control chart, using sample size n= 100 and a center line p = 0.02. (a) Find the three-sigma limits for this chart. (b) Analyze the ten new ...Consider the paper-making process in Exercise 7.49. Set up a u chart based on an average sample size to control this process. In Exercise 7.49 Find the three-sigma control limits for (a) a c chart with process average equal to four nonconformities. (b) a u chart with c = 4 and n = 4. Most corporations use external accounting and auditing firms for performing audits on their financial records. In medium to large businesses there may be a very large number of accounts to audit, so auditors often use a ...A control chart for nonconformities is to be established in conjunction with final inspection of a radio. The inspection unit is to be a group of ten radios. The average number of nonconformities per radio had, in the past, ...Post your question