Question: the process capability is quite low and the process is not well - centered within the specification limits . d . To estimate the proportion

the process capability is quite low and the process is not well-centered within the specification limits.
d. To estimate the proportion of rings that will not meet the design specification, we can use the process capability indices and the normal distribution.
Typically, for a process with a
C
pk
below 1, the proportion of non-conforming products can be estimated to be significantly higher than for a well-controlled process.
With
=
0.3333
C
pk
=0.3333, we can expect a considerable proportion of rings to fall outside the specification limits. However, the exact proportion would depend on the specific characteristics of the process and the distribution of the measurements.
Without more information about the process distribution and variability, it's challenging to provide an exact estimate. However, with a
C
pk
below 1, we can infer that a noticeable proportion of rings would not meet the design specification. It's essential to further investigate and improve the process to enhance its capability and reduce the proportion of non-conforming products.
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