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# Measurements and Control Limits

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A new machine has just been installed to cut and rough-shape large slugs. The slugs are
then transferred to a precision grinder. One of the critical measurements is the outside diameter.
The quality control inspector randomly selected five slugs each hour, measured the
outside diameter, and recorded the results. The measurements (in millimeters) for the period
8:00 A.M. to 10:30 A.M. follow.
Outside Diameter (millimeters)
Time 1 2 3 4 5
8:00 87.1 87.3 87.9 87.0 87.0
8:30 86.9 88.5 87.6 87.5 87.4
9:00 87.5 88.4 86.9 87.6 88.2
9:30 86.0 88.0 87.2 87.6 87.1
10:00 87.1 87.1 87.1 87.1 87.1
10:30 88.0 86.2 87.4 87.3 87.8
a. Determine the control limits for the mean and the range.
b. Plot the control limits for the mean outside diameter and the range.

##### Solution Summary

The solution examines measurements for control limits for the mean and range of data sets. These control limits are plotted.

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