The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one-hour intervals, Use three-sigma control limits. Use Exhibit 13.7. a. Calculate the mean and range for the above samples. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. \begin{tabular}{|l|l|l|} \hline Sample Number & Mean & Range \\ \hline 1 & & \\ \hline 2 & & \\ \hline 3 & & \\ \hline 4 & & \\ \hline 5 & & \\ \hline 6 & & \\ \hline 7 & & \\ \hline 8 & & \\ \hline 9 & & \\ \hline 10 & & \\ \hline 11 & & \\ \hline 12 & & \\ \hline 13 & & \\ \hline 14 & & \\ \hline 15 & & \\ \hline 16 & & \\ \hline 17 & & \\ \hline 18 & & \\ \hline 19 & & \\ \hline 20 & & \\ \hline \end{tabular} b. Determine X and R. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. c. Determine the UCL and LCL for an X-chart. Note: Do not round intermediate calculations. Round your answers to 3 decimal places. d. Determine the UCL and LCL for an R-chart. Note: Leave no cells blank - be certain to enter " 0 " wherever required. Do not round intermediate calculations. Round your answers to 3 decimal places