Bancroft & Co. produce wooden barrels. The barrels have been designed to have a

Question

Bancroft & Co. produce wooden barrels. The barrels have been designed to have a target radius of 12 inches + 1 inch. In order to
check the performance of their production process, Bancroft's process engineers periodically sampled 300 barrels. After the most
current inspection, it was found that the average radius of the barrels equated to 11.1 inches. What can you conclude about the
process capability of this process?
The process capability index belongs to the USL
Majority of the product defects will be due to barrels with radius measurements lower than the LSL.
The process capability index belongs to the lower specification limit
Both a & c
Both b & c

Explanation / Answer

USL = 12+1 = 13 inches

LSL = 12-1 = 11 inches

Specification average = 12 inches

Average radius = 11.1 inches

Average radius is lower than the specification average. It is close to USL.

Therefore, the process capability index belongs to the lower specification limit.

ANSWER: The process capability index belongs to the lower specification limit

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