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
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Chapter1: Combinatorial Analysis
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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
Transcribed Image Text:Determine the UWLx, LWLx, UWLr, LWLr. Show all computations.
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