Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on...

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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 51 grams and a range of 3.6 grams. The following table contains the data for a sample size of n = 6 taken during the past 3 hours: Sample X R 1 55 3 2 40 1 3 49 4 4 50 3 5 55 4 6 57 6 7 60 3 8 48 5 9 51 2 10 56 3 Data Table Sample Size, n 2 3 4 5678 7 9 10 12 Mean Factor, A₂ 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Print Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Done Lower Range, D3 0 0 0 0 0.076 0.136 0.184 0.223 0.284 X a) What are the x-chart control limits when the machine is working properly? UCLX grams (round your response to two decimal places). LCLX= grams (round your response to two decimal places). = b) What are the R-chart control limits when the machine is working properly? UCLR grams (round your response to two decimal places). grams (round your response to two decimal places). LCLR = 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 51 grams and a range of 3.6 grams. The following table contains the data for a sample size of n = 6 taken during the past 3 hours: Sample X R 1 55 3 2 40 1 3 49 4 4 50 3 5 55 4 6 57 6 7 60 3 8 48 5 9 51 2 10 56 3 Data Table Sample Size, n 2 3 4 5678 7 9 10 12 Mean Factor, A₂ 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Print Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Done Lower Range, D3 0 0 0 0 0.076 0.136 0.184 0.223 0.284 X a) What are the x-chart control limits when the machine is working properly? UCLX grams (round your response to two decimal places). LCLX= grams (round your response to two decimal places). = b) What are the R-chart control limits when the machine is working properly? UCLR grams (round your response to two decimal places). grams (round your response to two decimal places). LCLR =