Various Defect Levels of 6 Sigma
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 This topic has 3 replies, 4 voices, and was last updated 18 years, 10 months ago by Robert Butler.

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November 8, 2002 at 8:00 am #30732
Ram KannanParticipant@RamKannan Include @RamKannan in your post and this person will
be notified via email.Would like to have the defect levels…
e.g.3.4 for a million opportunities for 6 Sigma
66.738 for a million for 3 sigma?
What are the other levels..
Thanx
Kannan
0November 8, 2002 at 11:54 am #80425Here’s the table:
https://www.isixsigma.com/library/content/sigma_table.asp0November 8, 2002 at 2:18 pm #80429Sigma Defects per million
5.9 5
5.8 8
5.7 10
5.6 20
5.5 30
5.4 40
5.3 70
and it goes on in case you need the enire table email me0November 8, 2002 at 4:53 pm #80435
Robert ButlerParticipant@rbutler Include @rbutler in your post and this person will
be notified via email.To compute any defect level you wish do the following:
1. Find a statistics book with the table for the cumulative standardized normal distribution function. This table will be in the appendix.
2. Subtract 1.5 from your Sigma Value – the number that you have is called the Z score.
3. Using the Z score, look up the associated probabilty in the table listed in #1.
4. Multiply this probability by 1,000,000.
5. Subtract the result obtained in 4 from 1,000,000. This value is your DPMO.
Examples:
Sigma Value = 5
5 – 1.5 = 3.5 = Z score
From the normal table a Z score of 3.5 has a probability of .9997674.
.9997674 X 1,000,000 = 999767.4
1,000,000 – 999767.4 = 232.6 DPMO
Sigma Value = 1.2
1.2 – 1.5 = 2.7 = Z score
From the normal table a Z score of 2.7 has a probability of .003467.
.003467 X 1,000,000 = 3467
1,000,000 – 3467 = 996,533 Therefore your process has 996,533 DPMO
0 
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