Problem 2 (X-bar, R) to (X-bar, S): Assume that a variable quality characteristics X follows a normal distribution with an unknown mean and an unknown standard deviation . L Part (a): Your management has decided to use X and R chart to monitor the progression of this quality characteristics. The historical data collected are summarized in the above table. Please provide the X and R control chart limits for sample size 3 . Part (b): The management has decided to use X and S charts instead without collecting new samples. Use the information obtained for answering Part (a) to obtain the control chart limits for X and S charts for sample size 5