An electronics facility manufactures 500000 circuit boards p

An electronics facility manufactures 500,000 circuit boards per month. A random sample of 5,000 boards is inspected every week for five characteristics. During a recent week, two defects were found for one characteristic, and one defect each was found for the other four characteristics. If these inspections produced defect counts that were representative of the population, What is the overall sigma level for this process? What is the sigma level for the characteristic that showed two defects? To answer properly, assume the process is off -centered at zero and at 1.5. Please use both and state your sigma levels clearly for each scenario.

Solution

To calculate the overall DPMO and sigma level, we have:

DPMO = (6/5000)X 1,000,000 = 240 which is approximately 5 sigma with off-centering of 1.5 sigma .

But for the one characteristic we have:

DPMO = (2/5000)X 1,000,000 = 400 which is still good but, somewhat less than 5 sigma with off-centering of 1.5 sigma .

Conclusion is that a six sigma project should be launched to determine the root cause for the defects from this one characteristic.

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