Concept explainers
If a process variable is normally distributed, in the long run virtually all observed values should be between µ − 3σ and µ + 3σ, giving a process spread of 6σ.
a. With LSL and USL denoting the lower and upper specification limits, one commonly used process capability index is
b. The Cp index described in (a) does not take into account process location. A capability measure that does involve the process
Calculate the value of Cpk for each of the corkproduction processes described in the previous exercise, and comment. [Note: In practice, m and s have to be estimated from process data; we show how to do this in Section 16.2]
c. How do Cp and Cpk compare, and when are they equal?
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Chapter 16 Solutions
Probability and Statistics for Engineering and the Sciences
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