A packaging plant is running a filling process where packages are filled with 24 oz.+/- 0.08 oz.A capability study reveals that the process mean is 24 oz.with a standard deviation of 0.02 oz.What is the capability of the packaging line?
A)0.67
B)1.33
C)0.50
D)1.50

Question

Quizplus · Accepted Answer

To calculate the capability of the packaging line, we use the formula Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation).
In this case, the Upper Specification Limit (USL) is 24.08 oz and the Lower Specification Limit (LSL) is 23.92 oz (calculated as 24 - 0.08 and 24 + 0.08 respectively). The process mean is 24 oz and the standard deviation is 0.02 oz.
Plugging these values into the formula, we get:
Cp = (24.08 - 23.92) / (6 * 0.02) = 0.016 / 0.12 = 0.133
Since a Cp value of 1 indicates a process is capable of meeting specification limits, a value of 0.133 indicates that the process is not capable. Therefore, the closest option is B) 1.33.

A Packaging Plant Is Running a Filling Process Where Packages