The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm
What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? About what percent of all units of this liner will meet specifications?
LSL = 5.9 mm, USL = 6.1 mm. Cp is (6.1 - 5.9 )/6(.02 ) = 1.67. Cpk is the lesser of = 1.17 and (6.03 - 5.9 )/(3 ∗ 0.02 ) = 2.17; therefore, 1.17. The upper specification limit lies more than 3 standard deviations from the centerline, and the lower specification limit is further away, so practically all units will meet specifications.
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