A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected six packages and weighed each. The data from that activity appears below. Weight (in grams) Day Package 1 Package 2 Package 3 Package 4 Package 5 Package 6 Monday 23 22 23 24 23 21 Tuesday 23 21 19 21 24 20 Wednesday 20 19 20 21 19 20 Thursday 18 19 20 19 21 22 Friday 18 20 22 20 19 21 To assist students, I am attaching the Factors for Determining Control Limits from your text Sample size A2 D3 D4 2 1.880 0 3.268 3 1.023 0 2.574 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223 1.777 12 0.266 0.284 1.716 Assuming three (3) sigma limits (corresponding to 99.73 percent), construct: a) the upper and lower control limits for a Mean chart; (4 marks) b) the upper and lower control limits for a Range chart; (3 marks) c) Examining the data and your constructed charts from above, is the process in control, heading out of control or already out of control? Briefly justify your answer in no more than 1-2 sentences (70 words maximum).