Question: Question 1: Value = 30 points MegaCorp, Inc., is setting up a new process and wants to determine whether the process is in control. Ten

Question 1: Value = 30 points MegaCorp, Inc., is setting up a new process and wants to determine whether the process is in control. Ten samples have been collected; the size of each sample is 5. The results are given in the table below along with some calculated results: Observation Sample 1 2 3 4 5 Mean Range 1 251.5 253.3 248.9 249.3 246.3 249.86 7.0 2 235.4 247.3 255.2 257.1 249.4 248.88 21.7 3 248.4 253.4 252.8 249.7 251.3 251.12 5.0 4 252.6 249.5 246.3 255.1 253.9 251.48 8.8 5 259.4 246.5 250.6 247.8 249.0 250.66 12.9 6 248.6 248.9 249.1 248.8 250.2 249.12 1.6 7 251.3 252.7 246.3 248.1 253.2 250.32 6.9 8 260.3 259.4 257.3 255.0 257.2 257.84 5.3 9 254.3 255.3 251.6 251.3 250.3 10 248.7 250.5 246.3 245.0 251.8 Mean 251.03 8.1 (a) Compute the missing items in the last two columns. Fill these numbers into the appropriate cells in the table. (5 pts) (b) Use the results in the table above to calculate the upper and lower control limits for an chart. (5 pts) (c) Use the results in the table to calculate the upper and lower control limits for an R chart. (5 pts) (d) Is the process in control? If it is not in control, explain why. Identify the sample(s) that is (are) out of control and cite the appropriate statistics. (5 pts)

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