Rework Exercise 15-91 with XÌ and S charts. Exercise 15-91 The diameter of fuse pins used in

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Rework Exercise 15-91 with XÌ… and S charts.


Exercise 15-91

The diameter of fuse pins used in an aircraft engine application is an important quality characteristic. Twenty-five samples of three pins each are shown as follows:


Sample Number Diameter 1 64.030 64.002 64.019 2 63.995 63.992 64.001 64.021 63.988 64.024 64.002 63.996 63.993 63.992 64


(a) Set up XÌ… and R charts for this process. If necessary, revise limits so that no observations are out of control.

(b) Estimate the process mean and standard deviation.

(c) Suppose that the process specifications are at 64 ± 0.02. Calculate an estimate of PCR. Does the process meet a minimum capability level of PCR ‰¥ 1.33?

(d) Calculate an estimate of PCRk. Use this ratio to draw conclusions about process capability.

(e) To make this process a 6-sigma process, the variance σwould have to be decreased such that PCRk = 2.0. What should this new variance value be?

(f) Suppose that the mean shifts to 64.01. What is the probability that this shift is detected on the next sample? What is the ARL after the shift?

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Related Book For  book-img-for-question

Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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