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```SOM 306 â Operations Management
A. Dechter
Problem 4:
Sample
Sample
1
2
3
4
5
6
7
8
9
10
1
16.40
15.97
15.91
16.20
15.87
15.43
16.43
15.50
16.13
15.68
2
16.11
16.10
16.00
16.21
16.21
15.49
16.21
15.92
16.21
16.43
3
15.90
16.20
16.04
15.93
16.34
15.55
15.99
16.12
16.05
16.20
4
15.78
15.81
15.92
15.95
16.43
15.92
16.00
16.02
16.01
15.97
Mean:
Mean
16.05
16.02
15.97
16.07
16.21
15.60
16.16
15.89
16.10
16.07
Range
0.62
0.39
0.13
0.28
0.56
0.49
0.44
0.62
0.20
0.75
16.01
0.45
Control limits for X-bar chart:
CL = 16.01
UCL = 16.01 + (0.73)(0.45) = 16.34
LCL = 16.01 â (0.73)(0.45) = 15.68
X-bar Chart
16.40
16.20
16.00
15.80
15.60
15.40
15.20
1
2
3
4
5
6
7
8
9
10
Sample Number
Control Limits for R-chart:
CL = 0.45
UCL = (2.28)(0.45) = 1.03
LCL = (0)(0.45) = 0
2
```
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