Question 3) A quality engineering technologist collected the following diameter data (in cm) from a process that is producing stents, where the specifications on stents' diameter are 3.5+0.01. Please answer the following questions (each subgroup consisted of 6 observations) (40 Points) Subgroup X-bar 1 2 3 4 5 6 7 8 9 10 Avg. 3.505 3.501667 3.506667 3.506667 3.505 3.503333 3.5 3.503333 3.508333 3.506667 3.504667 0.01 0.02 0.01 0.02 0.01 0.01 0.02 0.01 0.02 0.01 0.014 0.005477 0.007528 0.005164 0.008165 0.005477 0.005164 0.006325 0.005164 0.007528 0.005164 0.006116 1) Calculate the control limits for x-bar R charts (6 Points) 2) Plot the x-bar R-charts, and interpret the process behavior (4 Points; Hint: Use approximate position of points with respect to chart lines) 3) Calculate the control limits for x-bar S charts (6 Points)