Control charts for x and s have been maintained on a process and have exhibited statistical control (n=6). The control chart parameters are as follows:x Chart s Chart UCL = 708.20 UCL = 3.420 Center line = 706.00 Center line = 1.738 LCL = 703.80 LCL = 0.052 (a) Estimate the mean and standard deviation of the process. (b) What sample size is being used for this sampling process? (c) Estimate the natural tolerance limits for the process. (d) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. (e) Suppose the process mean shifts to 704.00 while the standard deviation remains constant. On average, how many samples are required to detect this shift? (f) On average, how many parts will be produced outside of the specification limits until the shift is detected