A quality engineer collected process data for 10 subgroups with each subgroup consisting of four samples (n=4). The averages and standard deviations of samples in each subgroup are summarized in Table 3 below. Table 3. Subgroup Data 1 9 Subgroup Average X Standard deviations 13.01 0.03 2 12.99 0.02 3 13.01 0.04 4 12.99 0.03 5 12.98 0.02 6 12.93 0.04 7 8 12.93 13.00 0.02 0.02 13.01 0.04 10 13.01 0.03 (3-1) Calculate center line 7 of chart. Answer Center line of X chart (3-2) Calculate average standard deviation 5, which is also the center line of s chart. Answer Average standard deviation 5 (3-3) Calculate upper controllimit (UCL) and lower controllimit (LCL) of X chart Answer UCL of X chart LCL of 7 chart (3-4) Calculate upper control limit (UCL) and lower control limit (LCL) of s chart. Answer UCL of s chart LCL of s chart