Statistical monitoring of a quality characteristic uses both an x and an s chart. The charts are to be based on the standard values =200 and =10, with n=9. (a) Find center line and control limits for the x chart such that the probability of a type I error is 0.05 . (b) Find 3-sigma control limits for the s chart. (c) If the process means shifts to 201 , what is the probability of not detecting this shift on the first subsequent sample? If the sample size is increased to 16 then what is the probability of not detecting the shift on the first subsequent sample? [2+2+2]