The following x and S charts based on n 4 have shown statistical control: Limits x
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Question:
The following
x
and
S
charts based on
n 4
have shown statistical control:
Limits
x
Chart
S
Chart
UCL 710 18.08
Central line 700 7.979
LCL 690 0
a) Estimate the process parameters.
b) If the specifications are at
705 15
, and the process output is normally distributed,
estimate the fraction nonconforming.
c) For the
x
chart, find the probability of a type I error, assuming
is constant.
d) Suppose the process mean a shift to 693, and the standard deviation simultaneously
shifts to 12. Find the probability of detecting the shift on the
x
chart on the first
subsequent sample.
e) Find the average run length for the shift in part (d).
Related Book For
Managing Controlling and Improving Quality
ISBN: 978-0471697916
1st edition
Authors: Douglas C. Montgomery, Cheryl L. Jennings, Michele E. Pfund
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