A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows:     Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 1.36. Discuss whether the process is in control or not.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows:

 

 

  1. Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 1.36.
  2. Discuss whether the process is in control or not.
Samples
Observations
1
2
3
4
5
1
10
9.
10
9
12
9
9.
11
11
10
3
13
9
10
10
9
4
10
10
11
10
10
12
10
9.
11
10
6.
10
10
8
12
7
10
11
10
8
9
8
13
10
8.
10
8.
9
8.
8.
12
12
9.
10
10
12
9
8
12
Transcribed Image Text:Samples Observations 1 2 3 4 5 1 10 9. 10 9 12 9 9. 11 11 10 3 13 9 10 10 9 4 10 10 11 10 10 12 10 9. 11 10 6. 10 10 8 12 7 10 11 10 8 9 8 13 10 8. 10 8. 9 8. 8. 12 12 9. 10 10 12 9 8 12
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,