A process that produces computer chips has a mean of 0.035 defective chip and a standard...

Question:

A process that produces computer chips has a mean of 0.035 defective chip and a standard deviation of 0.035 chip. The allowable variation is from 0.03 to 0.06 defect. Compute the capability ratio (Cp) and comment on its value.

Process Capability Ratio

The process capability ratio is used to determine whether a centered process is capable. If the value of the ratio is 1 or greater, the process is considered capable, and it is considered not capable otherwise.

Answer and Explanation:

We can find the process capability ratio as

{eq}C_p=\frac{\text{Upper Tolerance Limit}-\text{Lower Tolerance Limit}}{6*\text{Standard Deviation}} \\ =\frac{0.06-0.03}{6*0.035}\\ = \frac{0.03}{0.21} = 0.14 {/eq}

As {eq}C_p<1 {/eq}, the process is not capable.


Learn more about this topic:

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Process Capability: Definition & Elements

from Business 112: Operations Management

Chapter 4 / Lesson 5
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