Control charts for and R are in use with the following parameters:
Chart R Charts
UCL = 363.0 UCL = 16.8
Center Line = 360.0 Center Line = 8.91
LCL = 357.0 LCL = 1.64
The sample size is n = 9. Both charts exhibit control and quality characteristic is normally distributed.
a) What is - risk associated with the control chart?
b) The specification limits are , what are your conclusions regarding the ability of the process to produce items conforming to specifications?
c) Suppose the mean shifts to 357, calculate the probability that the shift will not be detected on the first sample following the shift.
d) Determine the appropriate control limits for the control chart if type I error probability were to be 0.01.