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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...

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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 μ and σ.

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

(c) For the chart, 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.

Answered Same Day Dec 29, 2021

Solution

Robert answered on Dec 29 2021
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