Both charts exhibit control. What is the probability that a shift in the process mean to 790 will be detected on the first sample following the shift? Please show all your work for full credit.

Practical Management Science
6th Edition
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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2.
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
UCL = 815
UCL = 46.98
%3D
Center line = 800
Center line = 20.59
LCL = 785
LCL = 0
Both charts exhibit control. What is the probability that a shift in the process mean to
790 will be detected on the first sample following the shift? Please show all your
work for full credit.
Transcribed Image Text:2. 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 UCL = 815 UCL = 46.98 %3D Center line = 800 Center line = 20.59 LCL = 785 LCL = 0 Both charts exhibit control. What is the probability that a shift in the process mean to 790 will be detected on the first sample following the shift? Please show all your work for full credit.
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