Sample of n= 5 units are taken from a process every hour. Thexand Rvalues for a particular quality characteristic are determined. After 25 samples have been collected, we calculate20=xand56.4=R.(a)What are the three-sigma control limits forxand R?(3points)(b)Both charts exhibit control. Estimate the process standard deviation.(3points)(c)Assume that the process output is normally distributed. If the specifications are519, what are your conclusions regarding the process capability?(3points)(d)If the process mean shifts to 24, what is the probability of not detecting this shift on the first subsequent sample?(3points)