Q1 - X and R chart A quality engineer collected process data for 10 subgroups with each subgroup consisting of four samples (n=4). The averages and ranges of samples in each subgroup are summarized in Table 1 below. Table 1. Subgroup Data 1 3 5 6 7 8 Subgroup Average X Range R 13.01 0.06 2 12.99 0.04 13.01 0.03 4 12.99 0.05 12.98 0.04 12.93 0.06 12.93 0.07 13.00 0.03 9 13.01 0.04 10 13.01 0.06 (1-6) Calculate upper controllimit (UCL) and lower controllimit (LCL) of Rchart. Answer UCL of Rchart LCL of R chart (1-7) Create R chart with center line, UCL, and LCL, and plot subgroup data in the below figure. Clearly label center line, UCL, and LCL Subgroup range 0.16 0.15 0.14 0.13 0.12 0.11 0.10 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 1 2 10 3 4 5 6 7 8 9 Subgroup (1-8) Answer questions in the below table on this process based on subgroup ranges in chart. Answer Is this process in control in terms of Yes or No subgroup ranges? Briefly explain reason of your above answer Explain Do you suspect that there are variations due to common causes? Yes or No Briefly explain reason of your above Explain answer Do you suspect that there are variations due to assignable causes? Yes or No Briefly explain reason of your above answer Explain 1-5