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Math Help - [SOLVED] Help in checking my answer

  1. #1
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    [SOLVED] Help in checking my answer

    The question goes like this:
    Show how to use the chi-square distribution to calculate P(a<S^2/\sigma^2<b)

    My solution:
    P(a<\frac{S^2}{\sigma^2}<b)
    = P(a(n-1)<\frac{(n-1)S^2}{\sigma^2}<(n-1)b)
    = P(an-a<\chi^2_{n-1}<nb-b)
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  2. #2
    Flow Master
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    Quote Originally Posted by noob mathematician View Post
    The question goes like this:
    Show how to use the chi-square distribution to calculate P(a<S^2/\sigma^2<b)

    My solution:
    P(a<\frac{S^2}{\sigma^2}<b)
    = P(a(n-1)<\frac{(n-1)S^2}{\sigma^2}<(n-1)b)
    = P(an-a<\chi^2_{n-1}<nb-b)
    Looks OK.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by noob mathematician View Post
    The question goes like this:
    Show how to use the chi-square distribution to calculate P(a<S^2/\sigma^2<b)

    My solution:
    P(a<\frac{S^2}{\sigma^2}<b)
    = P(a(n-1)<\frac{(n-1)S^2}{\sigma^2}<(n-1)b)
    = P(an-a<\chi^2_{n-1}<nb-b)
    You should justify the step from line two to line three.

    CB
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