The specification for a plastic handle calls for a length of 6.0 inches ± .2 inches. The standard deviation of the process is estimated to be 0.05 inches
What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.1 inches. What are the Cp and Cpk values for this process? Is this process capable of producing the desired part?
LSL = 5.8 inches, USL = 6.2 inches. Cp is (6.2-5.8 )/6(.05 ) = 1.33. Cpk is the lesser of = .67 and (6.1 - 5.8 )/(3 ∗ 0.02 ) = 2.00; therefore, .67. The process is capable based upon the Cp. However, the process is not centered (based upon its Cpk) and based upon its current center is not producing parts that are of an acceptable quality.
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