Question

A process produces a certain part with a mean diameter of 2 inches and a standard deviation of 0.05 inches. The lower and upper engineering specification limits are 1.6 inches and 3.5 inches. What is the Cp (measure of potential capability)?

Answer 1

Answer:

The value of Cp (measure of potential capability) is 6.33.

Step-by-step explanation:

Given information: Process average = 2 inches, process standard deviation = 0.05 inches, lower engineering specification limit = 1.6 inches and upper engineering specification limit =3.5 inches.

The formula for Cp (measure of potential capability) is

$CP=\frac{USL-LSL}{6\sigma}$

Where, USL is upper specification limit, LSL is specification limit, σ is process standard deviation.

Substitute USL=3.5, LSL=1.6 and σ=0.05 in the above formula.

$CP=\frac{3.5-1.6}{6(0.05)}$

$CP=\frac{1.9}{0.3}$

$CP=6.3333$

$CP\approx 6.33$

Therefore the value of Cp (measure of potential capability) is 6.33.