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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 1 19.87 2 18.08 3 20.63 4 21.57 5 20.62 6 20.07 7 20.80 8 9 10 18.06 18.65 20.92 Xh 22.10 21.20 20.73 20.14 24.46 19.86 23.42 19.47 21.07 18.33 21.34 19.69 20.95 16.87 21.14 16.89 23.42 18.68 XI 18.70 17.26 subgroup 11 12 13 14 15 16 17 18 19 20 Xh Xave 21.65 24.37 21.85 22.28 21.47 23.67 21.53 22.64 20.14 23.06 20.51 22.85 20.74 23.43 19.04 20.44 18.01 19.72 22.88 17.97 18.30 21.66 15.84 XI 18.96 20.15 19.99 18.07 18.76 18.87 18.25 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

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 1 19.87 2 18.08 3 20.63 4 21.57 5 20.62 6 20.07 7 20.80 8 9 10 18.06 18.65 20.92 Xh 22.10 21.20 20.73 20.14 24.46 19.86 23.42 19.47 21.07 18.33 21.34 19.69 20.95 16.87 21.14 16.89 23.42 18.68 XI 18.70 17.26 subgroup 11 12 13 14 15 16 17 18 19 20 Xh Xave 21.65 24.37 21.85 22.28 21.47 23.67 21.53 22.64 20.14 23.06 20.51 22.85 20.74 23.43 19.04 20.44 18.01 19.72 22.88 17.97 18.30 21.66 15.84 XI 18.96 20.15 19.99 18.07 18.76 18.87 18.25 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

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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Q4.4 PLEASE PROVIDE HANDWRITTEN SOLUTIONS. ANSWER NUMBER 3 PLS

Assuming assignable causes of variation, recalculate revised CLX, UCLx, LCLx, CLr, UCLr, LCLr. Show all computations.
Transcribed Image Text:Assuming assignable causes of variation, recalculate revised CLX, UCLx, LCLx, CLr, UCLr, LCLr. Show all computations.
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 19.69 20.80 21.34 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 19.69 20.80 21.34 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
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