Problem:

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   Defects

1         8

2         0

3         7

4        12

5         5

6        10

7         2

8         4

9         6

10       6

Required:

Question 1) Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per shirt.

Question 2) Suppose that the next shirt has 13 flaws. What can you say about the process now?

Solve the given numerical problem and illustrate step by step calculation.