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A manufacturing firm that produces steel cabinets would like to implement variable control chart in their fabrication metal corporation. Based on the monthly summary of the QC report, the number one cause of rejection is mis-alignment due to wrong diameter. Thus, a variable control chart shall be implemented to monitor the stability of the fabrication process to consistently achieve the standard diameter. Their plan is to visit the power press machine, randomly pick 6 samples and measure their individual diameters. The result of their initial data gathering is shown below: subgroup Xave Xh XI subgroup Xave Xh XI

A manufacturing firm that produces steel cabinets would like to implement variable control chart in their fabrication metal corporation. Based on the monthly summary of the QC report, the number one cause of rejection is mis-alignment due to wrong diameter. Thus, a variable control chart shall be implemented to monitor the stability of the fabrication process to consistently achieve the standard diameter. Their plan is to visit the power press machine, randomly pick 6 samples and measure their individual diameters. The result of their initial data gathering is shown below: subgroup Xave Xh XI subgroup Xave Xh XI

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manufacturing firm that produces steel cabinets would like to implement variable control chart in their fabrication metal corporation. Based on the monthly summary of the QC report, the number one cause of rejection is mis-alignment due to wrong diameter. Thus, a variable control chart shall be implemented to monitor the stability of the fabrication process to consistently achieve the standard diameter. Their plan is to visit the power press machine, randomly pick 6 samples and measure their individual diameters. The result of their initial data gathering is shown below: subgroup Xave Xh XI 22.10 18.70 1 19.87 18.08 21.20 17.26 20.63 20.73 20.14 21.57 24.46 19.86 20.62 23.42 19.47 20.07 21.07 18.33 20.80 21.34 19.69 18.06 20.95 16.87 18.65 21.14 16.89 20.92 23.42 18.68 2 3 4 5 6 7 8 9 10 subgroup Xave Xh 11 21.65 24.37 12 21.85 22.28 13 21.47 23.67 14 21.53 22.64 20.14 23.06 20.51 22.85 20.74 23.43 19.04 20.44 19.72 18.30 21.66 15 16 17 18 19 20 XI 18.96 20.15 19.99 18.07 18.76 18.87 18.25 18.01 22.88 17.97 15.84 Note: Xaverage = the average measurements for the 6 samples per subgroup, Xh= the highest measurement of the 6 samples, XI = the lowest measurement of the 6 samples taken
Transcribed Image Text:A manufacturing firm that produces steel cabinets would like to implement variable control chart in their fabrication metal corporation. Based on the monthly summary of the QC report, the number one cause of rejection is mis-alignment due to wrong diameter. Thus, a variable control chart shall be implemented to monitor the stability of the fabrication process to consistently achieve the standard diameter. Their plan is to visit the power press machine, randomly pick 6 samples and measure their individual diameters. The result of their initial data gathering is shown below: subgroup Xave Xh XI 22.10 18.70 1 19.87 18.08 21.20 17.26 20.63 20.73 20.14 21.57 24.46 19.86 20.62 23.42 19.47 20.07 21.07 18.33 20.80 21.34 19.69 18.06 20.95 16.87 18.65 21.14 16.89 20.92 23.42 18.68 2 3 4 5 6 7 8 9 10 subgroup Xave Xh 11 21.65 24.37 12 21.85 22.28 13 21.47 23.67 14 21.53 22.64 20.14 23.06 20.51 22.85 20.74 23.43 19.04 20.44 19.72 18.30 21.66 15 16 17 18 19 20 XI 18.96 20.15 19.99 18.07 18.76 18.87 18.25 18.01 22.88 17.97 15.84 Note: Xaverage = the average measurements for the 6 samples per subgroup, Xh= the highest measurement of the 6 samples, XI = the lowest measurement of the 6 samples taken
Determine the UWLx, LWLx, UWLr, LWLr. Show all computations.
Transcribed Image Text:Determine the UWLx, LWLx, UWLr, LWLr. Show all computations.
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