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Math Help - Hypothesis Testing I think.

  1. #1
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    Hypothesis Testing I think.

    Alright so I have no idea how to do this and I'd really love some help. Once I understand this one I'll be able to do the rest of my homework I think. Math is like a whole new language to me so I may have questions.

    To test the hypothesis that a particular machine fills bags with 5 pounds of sugar, a quality control engineer randomly selects 9 bags and finds their weights to be
    5.2 5.2 5.1 5.1 5.1 5.0 5.1 4.9 5.0

    Assuming the bag weights are distributed normal, at the 2% level of significance, is the machine working properly? Be sure to state teh null and Alternative Hypothesis, as well as the test statistic and rejection region, or p-value you use to make your decision. Hint: use a two tail test.
    Last edited by mr fantastic; December 6th 2009 at 01:55 AM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    H_0:\mu=5 vs H_a:\mu\ne 5

    The test stat is a t with n-1=8 degrees of freedom

    The value is t^*={\bar X-5\over S/\sqrt{n}}

    The rejection region (also known as the critical region) is  (-\infty, -2.896)\cup (2.896,\infty)

    The p-value is 2P(t_8>t^*) since the test stat seems to be positive.
    Last edited by matheagle; November 28th 2009 at 11:12 PM.
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