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Various Defect Levels of 6 Sigma

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  • #30732

    Ram Kannan
    Participant

    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
     

    0
    #80425

    Jeff
    Participant
    #80429

    Jasi
    Participant

    Sigma                      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 me

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    #80435

    Robert Butler
    Participant

    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
     

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