Question

The Peach State Onion​ Company's onion-bagging machine was found to operate at mean​ = 25.05 pounds with a standard deviation of 0.129 pounds. The company product specification calls for a bag weight of 25 lbs.​ +/- 0.45 lbs. Determine the process capability index.

Answer 1

The process capability index for the Peach State Onion Company's onion-bagging machine is 0.697.

Step-by-step explanation:

To determine the process capability index, we need to use the formula Cp = (USL - LSL) / (6 * standard deviation), where USL is the upper specification limit, LSL is the lower specification limit, and standard deviation is the standard deviation of the process.

In this case, the bag weight specification is 25 lbs. +/- 0.45 lbs. Therefore, the upper specification limit is 25 + 0.45 = 25.45 lbs and the lower specification limit is 25 - 0.45 = 24.55 lbs.

Substituting the values into the formula, we have Cp = (25.45 - 24.55) / (6 * 0.129) = 0.697. Therefore, the process capability index is 0.697.