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Jim's Outfitters, Inc., makes custom fancy shirts for cowboys. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results:
Shirt Defects1 82 03 74 125 56 107 28 49 610 6
a. Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per shirt.
b. Suppose that the next shirt has 13 flaws. What can you say about the process now?
From the samples you determine the fraction defective is 0.05 and the standard deviation is 0.01. If the desired confidence level is 99.7 percent, what is the resulting UCL value for the line?
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