Question: 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

Refer to the table Factors for Computing Control

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 4 5 6 7 8 9 10 2 47 55 49 50 52 57 55 48 56 X R 51 2 3 1 5 3 2 6 3 2 3 Sample Size, n Upper Range, D4 Lower Range, D3 0 0 0 2 3 4 5 6 7 0 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 0 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 8 9 10 12 0.076 0.136 0.184 0.223 0.284 A) Set the control limits for the process for the x(bar) chart when the maching is working properly. UCL-X = ? grams (round to two decimal places) LCL-X = ? grams (round to two decimal places) B) Set the control limits for this process for the R-chart. UCLr = ? grams (round to two decimal places) LCLr = ? grams (round to two decimal places)

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