Problem 3 (a) x and R charts with n = 9 are used to monitor a normally distributed quality characteristic. The control chart parameters are, x Chart R Chart UCL=814 UCL=61.23 Center line = 800 Center line=29.70 LCL = 786 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? (b) For the x chart in (a), find the out-of control Average Run Length