Jims Outfitters, Inc., makes custom fancy shirts for cowboys. The shirts could be flawed in various ways,

Question:

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

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