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Math Help - Distrubution problem?

  1. #1
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    Distrubution problem?

    - The average cholesterol content of a certain brand of eggs is 210 (mg) and the standard deviation is 15 (mg).
    If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 215 mg.

    Could anyone show me how to work this prob out any help would be appreciated and also the answer is 0.0475.
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  2. #2
    MHF Contributor matheagle's Avatar
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    Quote Originally Posted by Funnel View Post
    - The average cholesterol content of a certain brand of eggs is 210 (mg) and the standard deviation is 15 (mg).
    If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 215 mg.

    Could anyone show me how to work this prob out any help would be appreciated and also the answer is 0.0475.
    P(\bar X>215)=P\left( {\bar X-210\over 15/\sqrt{25}}>{215-210\over 15/\sqrt{25}}\right)

    \approx P\left(Z>1.67\right)
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  3. #3
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    Quote Originally Posted by Funnel View Post
    - The average cholesterol content of a certain brand of eggs is 210 (mg) and the standard deviation is 15 (mg).
    If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 215 mg.

    Could anyone show me how to work this prob out any help would be appreciated and also the answer is 0.0475.
    There are dozens of questions like this that have been answered in this subforum. You will find them using the Search tool. You're expected to know the distribution of the sample mean. It is certainly in your class notes or textbook. Where are you stuck?
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