104. A company produces a product which is designed to weigh 10 oz., with a tolerance of + 0.5 oz. The process produces products with an average weight of 9.95 oz. and a standard deviation of 0.10 oz. The process capability index for this process with z = 3 is
A) 1.50
B) -1.50
C) 1.83
D) -1.83

Question

Quizplus · Accepted Answer

The process capability index (Cpk) is calculated as the minimum of (USL - mean)/(3*standard deviation) and (mean - LSL)/(3*standard deviation). Here, USL = 10.5, LSL = 9.5, mean = 9.95, and standard deviation = 0.10. Cpk = min((10.5-9.95)/(3*0.10), (9.95-9.5)/(3*0.10)) = min(1.83, 1.50) = 1.50.

104 a Company Produces a Product Which Is Designed to Weigh