The diameter of a cylinder follows a normal distribution with the mean of 10cm and the variance of 0.04 cmz. (a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a sample size 4? (Use L=3) (b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift at the immediate next sample (the rst sample after the mean shift)? (c) Continue b), What is the probability of detecting this mean shift before plotting the 5th sample after the mean shift