Question: The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.84. Sample size is given

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The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.84. Sample size is given to be 4. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL;) = 62.76 units (round your response to two decimal places). Lower Control Limit (LCL;)= 57.24 units (round your response to two decimal places). b) Now determine the 2-sigma X-chart control limits. Upper Control Limit (UCL;) = units (round your response to two decimal places). Refer to Table 56.1 - 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 = 60.75 lb.; Average range = 1.78 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCL;) = 61.496 lb. (round your response to three decimal places). Lower Control Limit (LCL;) = 60.004 lb. (round your response to three decimal places). b) The control limits for the 3-sigma R-chart are: Upper Control Limit (UCLR) = Ib. (round your response to three decimal places). Definition Sample Size, n 2 3 4 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 5 6 7 8 Lower Range, D3 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 9 10 12 1.777 1.716 Print Done

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