Answer Happy

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: D Hour X R Hour X R Hour X R 1 0.58 13 19 3.31 1.61" 3.15 3.10 14 2.79 1.09 R Hour X 0.71" 7 3.05 1:23 8 2.55 1.48 9 2.92 1.21 10 2.75 1.17 11 2.93 2.76 0.42 12 3.07 0.35 3.12 1.13 0.00 1.33 16 2.55 1.13 3.49 3.18 0.41. 3,07 2.94 2.76 1.43 1.22 2.84 1.53 18 2.84 1.34 24 2.74 1.02 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 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 (UCL) - inches (round your response to three decimal places). Lower Control Limit (LCLR)= inches (round your response to three decimal places) 2341016 3 5 FHBDTR 3.21 0.85 2.83 1.26 1.00 21 0.50 22 15 3.12 17 288888 20 23

Definition Sample Size, n 2 234 3 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 Upper Range, D4 3.268 2.574 2.282 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