Consider the following data taken on subgroups of size 5. The data contain 20 averages and ranges on the thickness (in millimeters) of a plate being manufactured. Please answer the following: Sample Average Thickness Range 1 11.986 0.26 2 12.0955 0.585 3 12.1075 0.31 4 11.9585 0.445 5 12.0755 0.475 6 12.0135 0.505 7 11.9605 0.455 8 12.0855 0.295 9 11.9755 0.34 10 12.1075 0.24 11 11.9435 0.41 12 12.0535 0.16 13 12.0045 0.385 14 11.696 0.535 15 11.9445 0.125 16 12.0535 0.69 17 12.0545 0.185 18 11.972 0.26 19 11.9755 0.19 20 12.0075 0.42
Construct an x bar- Chart. (Make sure to determine the upper and lower control limits.) Is the process in control? Explain why or why not. Construct an R- Chart. (Make sure to determine the upper and lower control limits.) Is the process in control? Explain why or why not. Take the standard deviation of the averages of the subgroups and calculate Cp for an UCL of 12.12 and a LCL of 11.88. Calculate Cpk using the same control limits. What do the calculated values of Cp and Cpk indicate?