Sigma control limits


Assignment:

Jim Outfitters 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           Defects
1                    8
2                    0
3                    7
4                   12
5                    5
6                   10
7                    2
8                    4
9                    6
10                  6

a) Assuming that 10 observations are adequate for these purposes, determine the 3-sigma control limits for defects per shirt?
b) Suppose that the next shirt has 13 flaws. What can you say about the process now?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Sigma control limits
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