Control charts for x bar and R with subgroup size=4 are used to monitor a normally distributed quality characteristic. The control charts parameter were: X bar chart UCL=813, x bar chart CL=800, x bar chart LCL=787. R chart UCL=46.98, R chart CL=20.59, R chart LCL=0, both charts exhibit control. If the process mean shift from 800 to 780. What is the probability of detecting this shift on or before the second sample?
A.
0.9934
B.
0.9834
C.
0.9993
D.
0.9894
It's a multiple choice question.
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