Please show work so I can know how this should be computed, thank you!

Data table

Question

i Data Table - X Lower Range, D3 O O O O Sample Size, n 2 3 4 5 6 7 8 9 10 12 Mean Factor, Az 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 0 0 0 0 0.076 0.136 0.184 0.223 0.284 Print Done Refer to the table Factors for Computing Control Chart Limits (3 sigma) for this problem. Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a mean weight of 50 grams and a range of 3.5 grams. The following table contains the data for a sample size of n=6 taken during the past 3 hours: Sample 1 3 5 8 10 2 47 1 55 3 49 4 50 3 52 2 6 57 6 7 55 3 48 2 9 51 2 56 3 R 5 Set the control limits for this process for the x-chart when the machine is working properly. UCL = grams (round your response to two decimal places). LCL = grams (round your response to two decimal places). Choose the correct graph of the sample data for the X-chart. OA. OB. OC. 60.00 60.00 60.00- 55.00 55.00 55.00- Adjustable weight in grams Adjustable weight in grams Adjustable weight in grams 50.00 50.00 50.00 45.00 45.00+ 45.00+ 8 Sample 12 12 12 Sample Sample Set control limits for this process for the R-chart. UCLR = grams (round your response to two decimal places). LCLR -grams (round your response to two decimal places). Choose the correct graph of the sample data for the R-chart. OA. OB. OC. . OC. 55 Adjustable weight in grams Adjustable weight in grams Adjustable weight in grams 50.00 45 Sample Sample Set control limits for this process for the R-chart. UCLA = grams (round your response to two decimal places). LCLR-grams nd your response to two decimal places) Choose the graph of the data for the R-chart . . 0 Adjustable weight in grams Weg 002 Adjustable weight in grams Adjustable weight in grams 2. 0. Sample Sample Has the process been in control? O Yes | No