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Topic DPMO to a Sigma Level

DPMO to a Sigma Level

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This topic contains 2 replies, has 2 voices, and was last updated by  Mihail Sadeanu 1 day, 19 hours ago.

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  • #699075 Reply

    Alf M

    Hi everyone,

    I was wondering if someone could help me understand the question below, the old fashioned way (Paper, Pencil & Calculator).

    The DPMO for a process is 860. What is the approximate six sigma level of the process?

    6 σ = 0.8406 + √29.37 – 2.221 x ln(860)
    =0.8406 + √29.37 -15.01
    =0.8406 + 3.7895 = 4.63

    The result is 4.63

    Question: Where 15.01 come from? What calculation ?

    I know the 3.785 come from 29.37 -15.01 = 14.36 = √ 3.7895, but where 15.01 come from? Which calculation?

    Thanks in advance I will very much appreciate the help.
    Alf

    #699093 Reply

    Have you considered @normsdist and @normsinv with excel. There are normal distribution charts that exist to do it with paper/pencil also.

    You are using the normal distribution for converting ppm defective or DPMO to sigma level. There are previous posts on this also.

    Hope this helps.

    #699271 Reply

    Mihail Sadeanu
    Reputation - 19
    Rank - Aluminum

    The correct calculation formula is:

    Process Sigma = 0.8406 + SQRT(29.37 – 2.221 * (ln(DPMO))) =
    0.8406 + SQRT (29.37 – 2.221 * 6.76) = 0,8406 + SQRT (29.37 – 14.9396) = 0.8406 + SQRT (14.4304) = 0.8406 + 3.7987 = 4.6393

    There is not any 15.01 value.

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