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Math Help - Probability of a Confidence Interval

  1. #1
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    Question Probability of a Confidence Interval

    Is it true to say a 90% confidence interval

    "contains 90% of the means on average (as n of means goes to infinity)"?
    Last edited by shalomhk; July 31st 2008 at 09:55 PM. Reason: Specific
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  2. #2
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    Quote Originally Posted by shalomhk View Post
    Is it true to say a 90% confidence interval

    "contains 90% of the means on average (as n of means goes to infinity)"?
    I'm not quite sure what you're trying to say.

    The correct interpretation of a confidence interval is based on repeated sampling. If samples of the same size are drawn repeatedly from a population and a 90% confidence interval is calculated from each sample, then 90% of these intervals should contain the population mean as the number of samples becomes large.
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    thanks :)

    thank you.
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    Quote Originally Posted by mr fantastic View Post
    I'm not quite sure what you're trying to say.

    The correct interpretation of a confidence interval is based on repeated sampling. If samples of the same size are drawn repeatedly from a population and a 90% confidence interval is calculated from each sample, then 90% of these intervals should contain the population mean as the number of samples becomes large.
    Absurd, is it not!

    Explaining what a confidence interval really means just shows that classical statistics does not answer the question that was really asked.

    RonL
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