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
[tex]CP=\frac{USL-LSL}{6\sigma}[/tex]
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.
[tex]CP=\frac{3.5-1.6}{6(0.05)}[/tex]
[tex]CP=\frac{1.9}{0.3}[/tex]
[tex]CP=6.3333[/tex]
[tex]CP\approx 6.33[/tex]
Therefore the value of Cp (measure of potential capability) is 6.33.
