Question & Answer: An inspector found an average of 9 scratches in the exterior point of each of theautomobiles being…

An inspector found an average of 9 scratches in the exterior point of each of theautomobiles being prepared for shipment to dealers. Determine two-sigma control limits.

Expert Answer

c = average number of nonconformities = 9

Since control liits are to be calculated based on 2 sigma level, z = 2

UCL = c + z*√c = 9 + 2*3 = 15

LCL = c – z*√c = 9 – 2*3 = 3

So, 2 sigma control limit is (3, 15)

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