# Question: A control chart for fraction nonconforming indicates that the current

A control chart for fraction nonconforming indicates that the current process average is 0.03. The sample size is constant at 200 units.

(a) Find the three-sigma control limits for the control chart.

(b) What is the probability that a shift in the process average to 0.08 will be detected on the first subsequent sample? What is the probability that this shift will be detected at least by the fourth sample following the shift?

(a) Find the three-sigma control limits for the control chart.

(b) What is the probability that a shift in the process average to 0.08 will be detected on the first subsequent sample? What is the probability that this shift will be detected at least by the fourth sample following the shift?

## Answer to relevant Questions

(a) A control chart for the number nonconforming is to be established, based on samples of size 400. To start the control chart, 30 samples were selected and the number nonconforming in each sample determined, yielding. (b) ...Analyze the data in Exercise 7.29 using an average sample size. In Exercise 7.29 A fraction nonconforming control chart has center line 0.01, UCL = 0.0399, LCL = 0, and n = 100. If three-sigma limits are used, find the smallest sample size that would yield a positive lower control limit. Construct a standardized control chart for the data in Exercise 7.11. In Exercise 7.11 An automobile manufacturer wishes to control the number of nonconformities in a subassembly area producing manual transmissions. The inspection unit is defined as four transmissions, and data from 16 samples (each of size 4) ...Post your question