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Upper Control Limit (UCL Subscript x overbarUCLx) = Lower Control Limit (LCL Subscript x overbarLCLx) = Based on the x overbarx-chart, the wire cutting process
Upper Control Limit (UCL Subscript x overbarUCLx) = Lower Control Limit (LCL Subscript x overbarLCLx) = Based on the x overbarx-chart, the wire cutting process has been IN CONTROL or 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 (UCL Subscript Upper RUCLR) = Lower Control Limit (LCL Subscript Upper RLCLR) = Based on the R-chart, the wire cutting process has been IN CONTROL or OUT OF CONTROL ?
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: \begin{tabular}{ccc|ccc|ccc|ccc} \hline Hour & x & R & Hour & x & R & Hour & x & R & Hour & x & R \\ \hline 1 & 3.25 & 0.71 & 7 & 2.95 & 0.53 & 13 & 3.01 & 0.80 & 19 & 4.51 & 1.61 \\ 2 & 3.20 & 1.13 & 8 & 2.75 & 1.18 & 14 & 2.73 & 1.26 & 20 & 2.99 & 1.04 \\ 3 & 3.22 & 1.48 & 9 & 3.02 & 0.66 & 15 & 3.12 & 1.11 & 21 & 2.55 & 1.08 \\ 4 & 3.49 & 1.31 & 10 & 2.95 & 1.38 & 16 & 2.84 & 0.55 & 22 & 3.38 & 0.41 \\ 5 & 2.97 & 1.17 & 11 & 2.83 & 1.12 & 17 & 2.96 & 1.48 & 23 & 2.84 & 1.58 \\ 6 & 2.76 & 0.42 & 12 & 2.97 & 0.45 & 18 & 2.84 & 1.24 & 24 & 2.64 & 1.02 \\ \hline \end{tabular}Step by Step Solution
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