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Refer to Table S6.1-Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer
Refer to Table S6.1-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 1 2 3 4 5 6 X 3.25" 3.10 3.22 3.39 3.07 2.86 R 0.71" 1.18 1.43 1.26 1.17 0.32 Hour X 7 3.05" 8 2.65 3.02 2.85 9 10 11 1.33 2.83 1.17 12 2.97 0.40 Hour X R Hour 3.11" 0.85" 19 R 0.53" 13 1.13 14 0.71 15 2.83 1.31 20 3.12 1.06 21 2.84 0.50 22 16 17 2.86 1.43 23 18 2.74 1.29 24 X R 3.41" 1.61" 2.89 1.09 2.65 1.08 3.28 0.46 2.94 1.58 2.64 0.97 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) = inches (round your response to three decimal places). Lower Control Limit (LCL) = 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) = Lower Control Limit (LCLR) = inches (round your response to three decimal places). inches (round your response to three decimal places).
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