A UToledo quality control engineering at Engines Manufacturing Factory. One role of the quality engineer is to inspect the confirmation to the specification of the charge pipe. The engineer collected four samples on the production line with eight observations for each sample measuring the diameter of the charge pipe. The population standard deviation is set to 0.2 inches and below are the readings that the engineer tabulated ( This is copyrighted material and cannot be posted on Chegg or similar websites). (10 Points) (a) Calculate the mean of each charge pipe diameter sample. (b) Calculate the mean and standard deviation of the sampling distribution. (c) Chart control limits for 3 standard deviations of the charge pipe diameter (Handwritten charts are fine)