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 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 4 7 1 55 3 2 40 1 3 49 50 3 5 55 4 6 57 6 60 3 8 48 5 9 51 2 10 56 3 R 4 a) What are the x-chart controllimits when the machine is working properly? UCL, -grams (round your response to no decimal pluces). Data Table 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 Lower Range, D3 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 Print Done calculate the upper control limit of the x chart= calculate the lower control limit of the x chart= b)what are the R-chart control limits when the machine is working properly? upper range= lower range= c) UCLr= LCLr=