Question

A continuous data sample is collected from a process over a short period of time. The DPMO is calculated to be 6200. What is the associated Sigma level for the process if, over the long term, it could shift by 1.5 Sigma? (Assume that the process data is Normally distributed).

A. 6.0
B. 2.0
C. 4.0
D. 8.0
E. 1.0

Answer 1

The associated Sigma level for the process, given a DPMO of 6200 and the potential to shift by 1.5 Sigma, is approximately 3.74.

Step-by-step explanation:

To determine the associated Sigma level for the process, we need to convert the DPMO (Defects per Million Opportunities) to a Sigma level. The formula to convert DPMO to Sigma level is:

Sigma Level = (3.4 - log(DPMO/1000000)) / 1.5

Substituting the given DPMO of 6200, the calculation becomes:

Sigma Level = (3.4 - log(6200/1000000)) / 1.5

Sigma Level = (3.4 - log(0.0062)) / 1.5

Sigma Level = (3.4 - (-2.2087)) / 1.5

Sigma Level = 5.6087 / 1.5

Sigma Level ≈ 3.7391

Therefore, the associated Sigma level for the process is approximately 3.74.