C&A’s potato chip filling process has a lower specification limit of 9.5 oz. and an upper specification limit of 10.5 oz. The standard deviation is 0.3 oz. and the mean is 10 oz. What is the process capability index for the chip filling process?

The process capability index of the chip filling process is 0.56

Explanation:

In this question, we are asked to calculate the process capability index for the chip filing process.

To calculate this, we employ a mathematical approach.

Mathematically;

The process capability index = (upper specification limit- lower specification limit)/ 6σ

Where σ refers to the standard deviation.

From the question, we identify the following;

Upper specification limit = 10.5 oz

Lower specification limit = 9.5 oz

Standard deviation σ = 0.3

Substituting these in the equation, we have;

(10.5-9.5)/6(0.3) = 1/1.8 = 0.56