The Southern Mills Company produces denim cloth. During the weaving process, dyed yam on large, round beams is fed into looms where it is woven into cloth. During this weaving process the yams are stretched beyond their natural length. As a result, the woven fabric can shrink as much as 15 percent; however, shrinkage of only as much as 3 percent is the acceptable limit for Southern’s customers. To prevent shrinkage, the fabric is put through a chemical process, but beams of fabric can still exceed the shrinkage limit. The Southern quality management team has taken a sample of 100 finished fabric beams each day for one month (i.e., 30 days) and tested them for shrinkage. The results of this inspection process showing the number of fabric beams that exceed the 3 percent shrinkage limit are as follows.

Develop a p-chart for fabric shrinkage using 3σ control limits and indicate if the process is out ofcontrol.

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Defective Beams Defective Sample Sample 16 17 18 19 20 21 Beams 12 15 6 10 4 14 14 17 23 24 25 26 27 28 29 30 10 12 13 16 12 10 12 13 14 15 10