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Thread: Confidence Interval Problem

  1. #1
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    Confidence Interval Problem

    If $\displaystyle x_1$ and $\displaystyle x_2$ are values of a random sample of size 2 from a population having a uniform density with $\displaystyle \alpha = 0$ and $\displaystyle \beta = \theta$, find k such that:
    $\displaystyle 0 < \theta < k(x_1+x_2)$

    is a $\displaystyle (1- \alpha )100$% confidence interval for $\displaystyle \theta $ when:

    (a) $\displaystyle \alpha < 0.5$
    (b) $\displaystyle \alpha > 0.5$

    This question is confusing...can someone explain what is it asking?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by chopet View Post
    If $\displaystyle x_1$ and $\displaystyle x_2$ are values of a random sample of size 2 from a population having a uniform density with $\displaystyle \alpha = 0$ and $\displaystyle \beta = \theta$, find k such that:
    $\displaystyle 0 < \theta < k(x_1+x_2)$

    is a $\displaystyle (1- \alpha )100$% confidence interval for $\displaystyle \theta $ when:

    (a) $\displaystyle \alpha < 0.5$
    (b) $\displaystyle \alpha > 0.5$

    This question is confusing...can someone explain what is it asking?
    Find $\displaystyle k$ such that:

    $\displaystyle p(k(x_1+x_2)>\theta)=1-\alpha$

    RonL
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    Find $\displaystyle k$ such that:

    $\displaystyle p(k(x_1+x_2)>\theta)=1-\alpha$

    RonL
    To the OP:

    This thread will be relevant to your efforts: http://www.mathhelpforum.com/math-he...questions.html
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