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Math Help - Z-test help

  1. #1
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    Z-test help

    The scores on a university examination are normally distributed with a mean of
    62 and a standard deviation of 11. If the bottom 5% of students will fail the
    course, what is the lowest mark that a student can have and still be awarded
    passing grade?


    I can do the questions "going the other way", as it were, but am having terribly difficulty with working backwards for some reason
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  2. #2
    MHF Contributor matheagle's Avatar
    Joined
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    Thanks
    5
    solve for X in.......

     {X-62\over 11}=-1.645

    The -1.645 is the bottom 5 percentile point of the st normal.
    The integer below that X is an F the integer above that X is the lowest D.
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