I am having trouble with answering f). I am not even sure how to start this one.| The diameter of cotter pins produced by an automatic machine is a characteristic of interest. Based on historical data, the process average diameter is 15 mm with a process standard deviation of 0.8 mm. If samples of size 4 are randomly selected from the process: a) Find the 1 and 2 control limits. b) Find the 3 control limits for the average diameter. c) What is the probability of a false alarm? d) If the process mean shifts to 14.5 mm, what is the probability of not detecting this shift on the first sample plotted after the shift? What is the ARL? e) What is the probability of failing to detect the shift by the second sample plotted after the shift? f) Construct the 0C curve for this control chart. g) Construct the ARL curve for this control chart