Question: Lower Range, Sample Size, n D3 2 3 4 5 6 7 8 9 10 12 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419

Lower Range, Sample Size, n D3 2 3 4 5 6 7 8 9 10Lower Range, Sample Size, n D3 2 3 4 5 6 7 8 9 10Lower Range, Sample Size, n D3 2 3 4 5 6 7 8 9 10

Lower Range, Sample Size, n D3 2 3 4 5 6 7 8 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 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 0.076 0.136 0.184 0.223 0.284 Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 54.75 lb.; Average range R = 1.64 Ib. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCLz) = 1b. (round your response to three decimal places). = b) The control limits for the 3-sigma R-chart are: Upper Control Limit (UCLR) = b. (round your response to three decimal places). Ib) Lower Control Limit (LCLR) = 1b. (round your response to three decimal places)

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