Name: ID #: x and R charts with n = 4 are used to monitor a normally distributed quality characteristic. The control chart parameters are: x Chart R Chart Center Line = 800 Center Line = 20.59 UCL = 812 UCL = 46.98 LCL = 788 LCL = 0.00 Both charts exhibit control. (A) What is the probability of a false alarm on the x Chart? (B) What is the probability that a shift in the process mean to 815 will be detected on the first sample following the shift?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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ID #:
x and R charts with n = 4 are used to monitor a normally distributed quality
characteristic. The control chart parameters are:
x Chart
R Chart
Center Line = 800
Center Line = 20.59
UCL = 812
UCL = 46.98
LCL = 788
LCL = 0.00
Both charts exhibit control.
(A) What is the probability of a false alarm on the x Chart?
(B) What is the probability that a shift in the process mean to 815 will be detected on
the first sample following the shift?
Transcribed Image Text:Name: ID #: x and R charts with n = 4 are used to monitor a normally distributed quality characteristic. The control chart parameters are: x Chart R Chart Center Line = 800 Center Line = 20.59 UCL = 812 UCL = 46.98 LCL = 788 LCL = 0.00 Both charts exhibit control. (A) What is the probability of a false alarm on the x Chart? (B) What is the probability that a shift in the process mean to 815 will be detected on the first sample following the shift?
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