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 52 grams and a range of 4 grams. The following table contains the data for a sample size of n = 6 taken during the past 3 hours: Sample 1 2 3 4 5 7 8 9 10 51 53 48 55 51 6 6 54 6 57 53 R 51 50 3 4 7 3 5 4 3 2 5 a) What are the x-chart control limits when the machine is working properly? UCL=grams (round your response to two decimal places). 1 LCL = grams (round your response to two decimal places). Choose the correct graph of the sample data for the x-chart. O A. OB. O c. a a 60.00 60.00 60.00 55.00- 55.00 55.00- Adjustable weight in Adjustable weight in grams Adjustable weight in grams 50.00 50.00 50.00+ 45.00 0 45.00- 0 45.00 0 12 12 12 4 8 Sample Sample 8 Sample b) What are the R-chart control limits when the machine is working properly? 50.00 50.00 45.00 45.00 45.00 Sample Sample Sample b) What are the R-chart control limits when the machine is working properly? 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. O A. OB. OC. 8.00- 8.00- 8.00+ 6.00- 6.00- 6.00- 4.00- Adjustable weight in grams 4.00- 4.00 Adjustable v Adjustable weight in 2.00- 2.00 2.00 20.00+ 0.00+ 0.00+ 72 Sample Sample Sample c) What seems to be happening? Has the process been in control? No Yes