Question

A product is designed to have length of 20.cm+/0.1 cm. The output of the manufacturing process is identified to be centered a 20.0155 cm and the standard deviation is estimated at .069 cm. Determine the capability of the system Cp .

Answer 1

To calculate the capability of the system Cp, use the formula Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation).

Step-by-step explanation:

To calculate the capability of the system Cp, we need to use the formula Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation).

In this case, the specification limit is 20.1 cm (20 cm + 0.1 cm) and the standard deviation is 0.069 cm.

Plugging in these values, we get Cp = (20.1 cm - 20 cm) / (6 * 0.069 cm)

= 0.015 cm / 0.414 cm

= 0.036.

Therefore, the capability of the system Cp is 0.036.