Asked by Keariel Threatt on Jun 20, 2024
Verified
The specifications for a manifold gasket that installs between two engine parts calls for a thickness of 2.500 mm ± .020 mm. The standard deviation of the process is estimated to be 0.004 mm. What are the upper and lower specification limits for this product? The process is currently operating at a mean thickness of 2.50 mm. (a) What is the Cp for this process? (b) About what percent of all units of this liner will meet specifications? Does this meet the technical definition of Six Sigma?
Specification Limits
The defined range of acceptable values for a product's characteristics, within which the product can be considered to meet quality standards.
Standard Deviation
A statistical measure that quantifies the amount of variation or dispersion of a set of data values around the mean.
Six Sigma
A data-driven approach and methodology for eliminating defects in any process, aiming to achieve six standard deviations between the mean and the nearest specification limit.
- Determine and elucidate the capabilities of processes and control limits for an array of control chart models, including X-bar, R-chart, p-chart, and c-chart.
- Compute and evaluate process capability indices (Cp, Cpk) to determine process efficiency.
Verified Answer
SP
Sunny PatelJun 25, 2024
Final Answer :
(a) LSL = 2.48 mm., USL = 2.52 mm. Cp = (2.52 - 2.48)/(6∗0.004) = 1.67. (b) Each specification limit lies 5 standard deviations from the centerline, so practically 100% of units will meet specifications. However, this percentage is not quite as high as Six Sigma would call for.
Learning Objectives
- Determine and elucidate the capabilities of processes and control limits for an array of control chart models, including X-bar, R-chart, p-chart, and c-chart.
- Compute and evaluate process capability indices (Cp, Cpk) to determine process efficiency.