Asked by Jesus Armenta on Apr 27, 2024
Verified
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?
Specification Limits
Pre-determined bounds that define the acceptable range of variation for a product's characteristics or a process's outputs.
Standard Deviation
A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values are from the average.
- Calculate and analyze process capability indices (Cp, Cpk) to assess process performance.
Verified Answer
MT
Megan TrainorMay 01, 2024
Final Answer :
LSL = 5.9 mm, USL = 6.1 mm. Cp is (6.1 - 5.9)/6(.02) = 1.67. Cpk is the lesser of (6.1 - 6.03)/(3∗0.02) = 1.17 and (6.03 - 5.9)/(3∗0.02) = 2.17; therefore, 1.17. The upper specification limit lies about 3 standard deviations from the centerline, and the lower specification limit is further away, so practically all units will meet specifications.
Learning Objectives
- Calculate and analyze process capability indices (Cp, Cpk) to assess process performance.
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