One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some number of breaks is considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours.   Construct a c-chart using 3 limits for this process and indicate if the process was out of control at any time.

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some number of breaks is considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours.

 

Construct a c-chart using 3 limits for this process and indicate if the process was out of control at any time.

Southern Mills Company
One of the stages in the process of making denim cloth at the Southern Mills Company is to spin
cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks
during the spinning process, and an operator ties it back together. Some number of breaks is
considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to
monitor this process, the quality-control manager randomly selects a spinning machine each hour
and checks the number of breaks during a 15-minute period. Following is a summary of the
observations for the past 20 hours.
Construct a c-chart using 3 limits for this process and indicate if the process was out of control at
any time.
Number of
Number of
Sample
Breaks
Sample
Breaks
1
3
11
2
12
4
3
4
13
6
1
14
7
5
5
15
8
6
3
16
6
7
2
17
5
8
4
18
7
19
8
10
2
20
6
Transcribed Image Text:Southern Mills Company One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subsequent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some number of breaks is considered normal; however, too many breaks may mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours. Construct a c-chart using 3 limits for this process and indicate if the process was out of control at any time. Number of Number of Sample Breaks Sample Breaks 1 3 11 2 12 4 3 4 13 6 1 14 7 5 5 15 8 6 3 16 6 7 2 17 5 8 4 18 7 19 8 10 2 20 6
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