XYZ manufacturing has received an order to produce a rod 5 inches in diameter + .04 inch.In sample runs,the machine tool that will be making the rod has been able to produce rods with a mean diameter of 4.99 inches and a standard deviation of 0.011 inch.The process capability ratio for this process is
A)−1.44
B)−1.21
C)1.21
D)1.44

Question

Quizplus · Accepted Answer

The process capability ratio (Cp) is calculated as (USL - LSL) / (6 * standard deviation). Here, USL = 5.04, LSL = 4.96, and standard deviation = 0.011. Cp = (5.04 - 4.96) / (6 * 0.011) = 0.08 / 0.066 = 1.21.

XYZ Manufacturing Has Received an Order to Produce a Rod