Purchase Solution

3-Sigma Control Limits

Not what you're looking for?

Ask Custom Question

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?

Attachments
Purchase this Solution

Solution Preview

The standard deviation of the number of defects is 3.559, and the mean is 6. So, lets look at how many shirts fall within 1, 2, and 3 standard deviations of the mean.

One standard deviation; 6 ± 3.559 = (2.441, 9.559): 6 shirts
Two standard deviations; 6 ± 7.118 = (-1.118, 13.118): 6 + 4 = 10 shirts
Three ...

Purchase this Solution


Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.