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The mean diameter of a certain part from a manufacturing process is 5 mm and the standard deviation is 0.01 mm. The Lower Specification Limit 4.95 mm and the Upper Specification Limit (USL) is 5.03 mm.REQUIRED:Determine the value of the Process Capability Index.

Question

The mean diameter of a certain part from a manufacturing process is 5 mm and the standard deviation is 0.01 mm. The Lower Specification Limit 4.95 mm and the Upper Specification Limit (USL) is 5.03 mm.REQUIRED:Determine the value of the Process Capability Index.

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Solution

To calculate the Process Capability Index (Cp), we need to use the following formula:

Cp = (USL - LSL) / (6*standard deviation)

Where: USL = Upper Specification Limit = 5.03 mm LSL = Lower Specification Limit = 4.95 mm Standard deviation = 0.01 mm

Substituting the given values into the formula, we get:

Cp = (5.03 mm - 4.95 mm) / (6*0.01 mm)

Cp = 0.08 mm / 0.06 mm

Cp = 1.33

So, the Process Capability Index is 1.33.

This problem has been solved

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