Asked by Olympia Thompson on Apr 29, 2024
Verified
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 is the Cp and Cpk for this process? Is this process capable of producing the desired part?
Specification Limits
Defined upper and lower bounds within which a product or process measurement should fall to meet quality standards.
- Perform calculations and analyses on process capability indices (Cp, Cpk) to evaluate process effectiveness.
Verified Answer
GC
Getting CraftayMay 03, 2024
Final Answer :
LSL = 5.8 inches, USL = 6.2 inches. Cp is (6.2-5.8)/6(.05) = 1.33. Cpk is the lesser of (6.2 - 6.1)/(3*0.05) = .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.
Learning Objectives
- Perform calculations and analyses on process capability indices (Cp, Cpk) to evaluate process effectiveness.
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