The data in the table below represent processing time values for 20 samples of size 4 that were taken from Rapid Check Kiters, Inc.'s check processing firm over a 20-hour period. Sample number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Time 1 1.01 1,15 1.08 0,98 1,13 1.06 1,03 1,08 1,13 1,16 1,08 1.11 1,09 1,05 1,07 1,05 1,03 1.01 1,08 1,09 Time 2 1,03 1,05 1,14 1,08 1,05 1,10 1,04 1,11 1,11 1,06 1,00 1.07 1,13 0,95 1,04 1,07 1,08 1,08 1,07 1,08 Time 3 1.07 1,08 1,06 0.97 1.14 1.16 1,13 1,14 1,06 1,07 0,99 1.05 1,09 1,15 1,10 1,06 1,04 1,05 1.11 1,02 Time 4 1,10 1,01 1,10 1,04 1,01 1,02 1,05 1,07 1,05 1,02 1.03 1,05 1,14 1,08 1,06 1,04 1,08 1,04 1,06 1,15 (a) Use Microsoft Excel to compute the mean and range of each sample, calculate control limits, and plot them on X and R control charts. (32) Note: Copy and paste the given values onto Excel; then use Excel spreadsheet formulae to calculate X, UCLX, X, LCLX, R, UCLR, R, LCLR then plot the X-chart and R-chart from these calculations. (b) Does the process appear to be in statistical control? Why or why not? (2) (a) Specifications for the process are 1.065 +0.14. If the process is under control, calculate the capability indices, Cp, and Cpk using some of the answers from your X and R-charts. (16) (b) What do these two indices (Cp and Cpk) indicate? (2)