The control limits for the 3- sigma R-chart are (round all intermediate calculat

Question

The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations) :

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: R 2 Hour x R 3.35" 0.71" 3.10 1.18 3 3.22 1.43 4 3.29 1.26 3.17 1.12 2.760.42 Hour XR | Hour x R | 7 3.15" 0.53" 13 3.21" 0.90" 8 2.55 1.18 14 2.83 1.36 9 3.120.76 15 3.22 1.11 10 2.85 1.28 16 2.940.50 11 2.93 1.17 17 2.76 1.43 12 2.870.35 18 2.64 1.34 Hour * 19 3.31" 1.56" 20 2.89 1.14 21 2.55 1.13 22 3.180.41 23 2.94 1.53 24 2.54 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; )= 3.752 inches (round your response to three decimal places). Lower Control Limit (LCL; )= 2.204 inches (round your response to three decimal places). Based on the x-chart, the wire cutting process has been IN CONTROL The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations):

Explanation / Answer

UCL =Xbar +A2*Rbar=3.726

LCL = Xbar +A2*Rbar=2.221

Xbar Rbar 3.35 0.71 3.1 1.18 3.22 1.43 3.29 1.26 3.17 1.12 2.76 0.42 3.15 0.53 2.55 1.18 3.12 0.76 2.85 1.28 2.93 1.17 2.87 0.35 3.21 0.9 2.83 1.36 3.22 1.11 2.94 0.5 2.76 1.43 2.64 1.34 3.31 1.56 2.89 1.14 2.55 1.13 3.18 0.41 2.94 1.53 2.54 0.97 average 2.974 1.032

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