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    finding value of z0




    P(|z| > z0) = 0.10

    Find z0.

    I think the answer is z0 = 1.28, however I'm not sure how to get that. The first time I did it, I got 1.645, because I did 0.5 - 0.1. I know that is not correct, but am not clear on the logic of getting 1.28.

    Any help would be appreciated.

    Thanks

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    Quote Originally Posted by toronto416 View Post
    P(|z| > z0) = 0.10

    Find z0.

    I think the answer is z0 = 1.28, however I'm not sure how to get that. The first time I did it, I got 1.645, because I did 0.5 - 0.1. I know that is not correct, but am not clear on the logic of getting 1.28.

    Any help would be appreciated.

    Thanks
    I assume Z is a standard normal random variable.
    Then the answer is not 1.28 & answer is 1.645
    P(|z| > z0) = 0.10 => P(|z| < z0) = 0.90
    =>
    P(z < -1*z0) = P(z > z0) = 0.05 ( both the tail probability will be 0.05 & Most of the table/prob chart are designed in this fashion)
    &
    P[ -1.645 < Z <1.645 ] = 0.90
    (& P[-1.28 <Z<1.28 ] =0.80 )

    See the below link for the normal probability table.
    http://math2.org/math/stat/distributions/z-dist.htm
    In the long run, we're all dead.

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