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 = 1.78 lb a) For the given sample size, the control limits for 3-sigma x chart are Upper Control Limit (UCL) = Lower Control Limit (LCL) = | lb (round your response to three decimal places) lb (round your response to three decimal places) b) The control limits for the 3-sigma R-chart are Upper Control Limit (UCLR) = [ lb (round your response to three decimal places) Lower Control Limit (LCLR) = lb (round your response to three decimal places) Definition Sample Size, n 2 3 4 5 6 7 8 9 10 12 . Mean Factor, A 1.880 1.023 0.729 0577 0 483 0.419 0.373 0 337 0.308 0 266 Upper Range, D4 3.268 2.574 2282 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 - X

a) For the given sanple scre, the contral imts for 3-sgma x chart are. Upper Control timt (UClx)= ib fround your response to thee decmal piaces) Lower Controi L imat (LCL)= ib (round you response to three decmal places) b) The control limes for the 3-sigma R-chart are Upper Control Lme (UCL LR)= it (round your response to three decimal places) Lower Control Lime (CLR) = ib (round your nesponse to thee docimal places) Definition