An automatic lathe produces rollers for roller bearings,and
statistical process control charts are used to monitor the
process. The central line of the chart for the sample means
is set at 8.50 and for the range at 0.31 mm. The process is
in control, as established by samples of size 5. The upper
and lower specifications for the diameter of the rollers are
18.50 + 0.252 and 18.50 – 0.252 mm, respectively.
a. If the standard deviation of the process distribution
is estimated to be 0.13 mm, is the process capable of
meeting specifications? Assume four-sigma performance
is desired.
b. If the process is not capable, what percent of the output
will
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