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Math Help - hypothesis testing

  1. #1
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    hypothesis testing

    A die is rolled 60 times and the average number showing on the face is 2.5. Use a hypothesis test to show whether or not the die is loaded. Assume a=0.05. (Hint: Find the asymptotic distribution)


    I know that the distribution is asymptotically normal. But what would my null and alternative hypothesis be? Is it Ho:Population mean equals 3.5 and H1: Mean does not equal 3.5? Or is it Ho: Population mean equals 3.5 and H1: Mean equals 2.5?
    Last edited by trukka; May 29th 2008 at 06:21 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by trukka View Post
    A die is rolled 60 times and the average number showing on the face is 2.5. Use a hypothesis test to show whether or not the die is loaded. Assume a=0.05. (Hint: Find the asymptotic distribution)


    I know that the distribution is asymptotically normal. But what would my null and alternative hypothesis be? Is it Ho:Population mean equals 3.5 and H1: Mean does not equal 3.5? Or is it Ho: Population mean equals 3.5 and H1: Mean equals 3?
    Ho:Population mean equals 3.5 and H1: Mean does not equal 3.5?

    RonL
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  3. #3
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    thanks... does anyone know how I'd answer this using the Neyman-Pearson Lemma?
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