One of the stages in the process of making denim cloth at the Southern Stars 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 might 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: Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Number Defective 3 2 4 1 5 3 2 4 0 2 3 st 4 6 7 8 6 5 7 8 6 a. Construct a c -chart using 3Q limits for this process and indicate if the process was out of control at any time. b. Please make recommendations about further actions based on results.

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One of the stages in the process of making denim cloth at the Southern Stars 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 might 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:
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Number
Defective
3
2
4
1
5
3
2
4
0
2
3
4
6
7
8
6
5
7
8
6
a. Construct a c -chart using 3Q limits for this process and indicate if the process was out of control at
any time.
b. Please make recommendations about further actions based on results.
Transcribed Image Text:One of the stages in the process of making denim cloth at the Southern Stars 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 might 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: Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Number Defective 3 2 4 1 5 3 2 4 0 2 3 4 6 7 8 6 5 7 8 6 a. Construct a c -chart using 3Q limits for this process and indicate if the process was out of control at any time. b. Please make recommendations about further actions based on results.
Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
456DBEY
14
15
16
17
18
19
20
Number
Defective
3
2
4
1
5
3
JAWNO ANW
2
4
0
2
3
4
6
7
8
6
5
7
8
6
C
UCL
LCL
C =
UCL =
LCL =
Transcribed Image Text:Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 456DBEY 14 15 16 17 18 19 20 Number Defective 3 2 4 1 5 3 JAWNO ANW 2 4 0 2 3 4 6 7 8 6 5 7 8 6 C UCL LCL C = UCL = LCL =
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