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 3.50.01. Please answer the following questions (each subgroup consisted of 6 observations) (40 Points)

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 3.540.01. Please answer the following questions (each subgroup consisted of 6 observations) (40 Points) Subgroup 1 2 5 6 9 10 AVE 3.505 3.509667 3.506567 3.505667 3.505 3.50333) 35 3.503333 3.508333 3.506667 3.504667 0.01 0.02 0.01 0.01 0.01 0.01 0.01 D.D14 s 0.005477 0.007528 0.005152 0.008165 0.005477 0.005154 0.006325 0.005154 0.007528 0.005154 0.005116 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 xbar Scharts (6 Paints) 4 Plot the x-bar S-charts, and interpret the process behavior (4 Paints; Hint: Use approximate position of points with respect to chart lines) 5) Do you see any differences in process behavior from 2 and 4; which chart would you recommend putting into operation and why (10 Points? 2 6) Calculate Process Capability Index based on information coming from X-bar Rcharts, is the process capable (S Paints), and from X-bar S Charts, is the process capable (S Paints)? Hint