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 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.

A Company Produces a Product Which Is Designed to Weigh