Upper Control Limit (UCLx) =

Lower Control Limit (LCLx) =

Based on the x chart, the wire cutting process has been

Upper Control Limit (UCLr) =

Lower Control Limit (LCLr) =

Based on the x chart, the wire cutting process has been

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 7 8 9 10 11 12 X R 3.05" 0.53" 2.65 1.13 3.02 0.71 2.85 1.33 2.83 1.17 2.97 0.40 Hour 13 14 15 16 17 18 X R 3.11" 0.85" 2.83 1.31 3.12 1.06 2.84 0.50 2.86 1.43 2.74 1.29 Hour 19 20 21 22 23 24 3.41" 2.89 2.65 3.28 2.94 2.64 R 1.61" 1.09 1.08 0.46 1.58 0.97 Sample Size, n Upper Range, Lower Range, D4 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 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 86.1. 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 7 8 9 10 11 12 x R 3.05' 0.53" 2.65 1.13 3.02 0.71 2.85 2.83 1.17 2.97 0.40 Hour 13 14 15 16 17 18 x 3.11" 2.83 3.12 2.84 2.86 2.74 R 0.85" 1.31 1.06 0.50 1.43 1.29 Hour 19 20 21 22 23 24 X 3,41" 2.89 2.65 3.28 2.94 2.64 R 1.61 1.09 1.08 0.46 1.58 0.97 1.33 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 furt calculations)