The following and s charts based on n =4 have shown statistical control: Chart s Chart UCL = 710 UCL = 18.08 Center line = 700 Center line = 7.979 LCL = 690 LCL = 0 (a) Estimate the process parameters...

The followingandscharts based onn=4 have shown statistical control:

(a) Estimate the process parameters μ and σ.

(b) If the specifications are at 705 ??15, and the process output is normally distributed, estimate the fraction nonconforming.

(c) For thechart, find the probability of a type I error, assuming σ is constant.

(d) Suppose the process mean shifts to 693 and the standard deviation simultaneously shifts to 12. Find the probability of detecting this shift on the chart on the first subsequent sample.

(e) For the shift of part (d), find the average run length.