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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:

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:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 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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