Question: Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used

Refer to Table 56.1 - Factors for Computing

Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour R Hour R Hour R Hour R 7 19 1 2 13 14 8 9 15 3.25" 3.00 3.22 3.39 2.97 2.76 0.65" 1.23 1.48 1.31 1.12 0.32 3.15" 2.65 3.02 2.95 2.83 2.97 0.53" 1.13 0.66 1.28 1.22 0.40 3.21" 2.93 3.12 2.74 2.96 2.84 0.80" 1.31 1.11 0.45 1.48 1.29 3.41" 2.99 2.55 3.18 2.94 2.74 1.56" 1.14 1.03 0.46 1.63 0.97 20 21 22 23 24 16 10 11 12 5 17 18 6 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Definition Upper Range, Sample Size, n DA Lower Range, D3 2 0 3 0 0 4 5 0 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 6 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 7 8 0 0.076 0.136 0.184 0.223 0.284 9 10 12 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL ) = 3.762 inches (round your response to three decimal places). Lower Control Limit (LCL2) = 2.286 inches (round your response to three decimal places). Based on the x-chart, the wire cutting process has been OUT OF CONTROL The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCLR) = 2.312 inches (round your response to three decimal places). Lower Control Limit (LCLR) = 0.000 inches (round your response to three decimal places). Based on the R-chart, the wire cutting process has been IN CONTROL

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