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Math Help - Need help with this question, very tricky

  1. #1
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    Need help with this question, very tricky

    The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99,685. For a female full professor at the same kind of institution, the salary is $90,330. If the standard deviation for the salaries of both genders is approximately $5200 and the salaries are normally distributed, find the 73rd percentile salary for the male professors and female professors.

    I'm a new user here, and i found a similar thread here:
    Help with normal distribution problem

    Stuck figuring out this question
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  2. #2
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    Re: Need help with this question, very tricky

    You need to know the z-score associated with the 73rd percentile. Do you have a chart or table? Are you using a percentile to z-score calculator? Depending on the method you use, you will find that the appropriate z-score is 0.6128 (or something close, depending on the number of significant figures your table or chart uses). So, how do you find a z-score.

    z = \dfrac{x - \mu}{\sigma}

    So, plug in the values you know:

    0.6128 = \dfrac{x - 99685}{5200} to find the 73rd percentile salary for male professors and
    0.6128 = \dfrac{x - 90330}{5200} to find the 73rd percentile salary for female professors.

    In each case, solve for x
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  3. #3
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    Re: Need help with this question, very tricky

    So, for the 73th percentile, it's 0.6128, and yeah im using the z chart
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  4. #4
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    Re: Need help with this question, very tricky

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  5. #5
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    Re: Need help with this question, very tricky

    That's the chart i'm using.
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  6. #6
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    Re: Need help with this question, very tricky

    Then I gave you your answer. Just solve for x in the two equations I posted.
    Thanks from topsquark
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