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: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.