The pull strength of a wire-bonded lead for an integrated circuit is monitored. The following table...
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The pull strength of a wire-bonded lead for an integrated circuit is monitored. The following table provides data for 20 samples each of size three. Sample Number x1 X2 X3 15.4 15.7 15.2 15.5 16.7 15.1 16.1 16.1 13.5 1 3 13.5 12.5 10.2 18.3 16.1 17.0 19.2 17.2 19.4 14.1 12.4| 11.7 15.6 13.3 13.6 13.9 14.9 15.5 18.7 21.2 20.1 4 5 7 8 9 10 15.3 13.1 13.7 16.6 18.0 18.0 11 12 13 17.0 15.2 18.1 16.3 16.5 17.7 8.4 7.7 8.4 14 15 11.1 13.8 11.9 16.5 17.1 18.5 16 17 18 18.0 14.1 15.9 19 17.8 17.312.0 20 11.5 10.8 11.2 (a) Using all the data find trial control limits for X and R charts. Round your answers to 2 decimal places (e.g. 98.76). X Control Limits: UCL - CL = LCL = R Control Limits: UCL = CL = LCL - (b) Construct X and R control charts using the control limits from part (a) to identify out-of-control points. (Use Minitab, Excel or any other statistical software.) Does the process appear to be in control or out-of-control? How many of the subgroups fall outside the control limits on both charts combined. (If none are outside the limits, type "0".) The pull strength of a wire-bonded lead for an integrated circuit is monitored. The following table provides data for 20 samples each of size three. Sample Number x1 X2 X3 15.4 15.7 15.2 15.5 16.7 15.1 16.1 16.1 13.5 1 3 13.5 12.5 10.2 18.3 16.1 17.0 19.2 17.2 19.4 14.1 12.4| 11.7 15.6 13.3 13.6 13.9 14.9 15.5 18.7 21.2 20.1 4 5 7 8 9 10 15.3 13.1 13.7 16.6 18.0 18.0 11 12 13 17.0 15.2 18.1 16.3 16.5 17.7 8.4 7.7 8.4 14 15 11.1 13.8 11.9 16.5 17.1 18.5 16 17 18 18.0 14.1 15.9 19 17.8 17.312.0 20 11.5 10.8 11.2 (a) Using all the data find trial control limits for X and R charts. Round your answers to 2 decimal places (e.g. 98.76). X Control Limits: UCL - CL = LCL = R Control Limits: UCL = CL = LCL - (b) Construct X and R control charts using the control limits from part (a) to identify out-of-control points. (Use Minitab, Excel or any other statistical software.) Does the process appear to be in control or out-of-control? How many of the subgroups fall outside the control limits on both charts combined. (If none are outside the limits, type "0".)
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Related Book For
Applied Statistics and Probability for Engineers
ISBN: 978-1118539712
6th edition
Authors: Douglas C. Montgomery, George C. Runger
Posted Date:
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