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Math Help - Probabiltity of type1/2 error

  1. #1
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    Probabiltity of type1/2 error

    X is dist Exp(L)
    H0: 1/L = 100 , H1: 1/L = 200 Reject H0 if x>460

    I have worked out probabilities of making type1 and 2 errors by working out:

    Pr(x>460) for L = 1/100 & Pr(x<460) for L = 1/200 giving 0.01005 & 0.89974

    Can anyone tell me if this is correct, the second answer seems too high but then it probably is quite likely seeing as x 1/L is only 200 which is a lot smaller than 460
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by jpquinn91 View Post
    X is dist Exp(L)
    H0: 1/L = 100 , H1: 1/L = 200 Reject H0 if x>460

    I have worked out probabilities of making type1 and 2 errors by working out:

    Pr(x>460) for L = 1/100 & Pr(x<460) for L = 1/200 giving 0.01005 & 0.89974

    Can anyone tell me if this is correct, the second answer seems too high but then it probably is quite likely seeing as x 1/L is only 200 which is a lot smaller than 460
    Looks OK to me

    CB
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