A barbecue sauce producer sells their product in a 20-ounce bottle. Their current process mean is 19.80 ounces with a standard deviation of 0.3 ounces. If their tolerance limits are set at 20 ounces plus or minus 1 ounce, what is the process capability index of the bottle filling process?
A)0.89
B)1.00
C)1.11
D)1.33

Question

Quizplus · Accepted Answer

The process capability index (Cpk) is calculated as the minimum of the upper and lower process capability indices (Cpu and Cpl). In this case, the upper process capability index is calculated as (USL - mean) / 3 * sigma = (21 - 19.80) / 3 * 0.3 = 0.67, and the lower process capability index is calculated as (mean - LSL) / 3 * sigma = (19.80 - 19) / 3 * 0.3 = 0.27. Therefore, the process capability index is the minimum of 0.67 and 0.27, which is 0.27.

A Barbecue Sauce Producer Sells Their Product in a 20-Ounce