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Math Help - Hypothesis test

  1. #1
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    [SOLVED]Hypothesis test

    Hi, I have this question.

    A new brand of canned mixed nuts plans to enter the Singapore market. The label says that 25% of the contents are cashews. Suspecting that this might be an overstatement, an inspector takes a random sample of 31 cans and measures the percentage weight of cashews [i.e., 100(weight of cahews)/(weight of all nuts)] in each can. The mean and standard deviation of these measurements are found to be 23.5 and 3.1, respectively. Do these results constitute strong evidence in support of the inspector’s belief? Test with = 0.01.
    I stuck when finding the critical point. here it is:
    P(t < c) = 0.01

    since the t-distribution table tabulates the P(t > c) = area
    so in order to find c, i did this:

    P(t > c) = 0.99

    but when I was trying to get the value in the table, the maximum area shown is 0.4.

    how can I solve this? thanks.

    regards,

    tommy
    Last edited by tommyhakinen; October 27th 2008 at 10:36 AM.
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  2. #2
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    Quote Originally Posted by tommyhakinen View Post
    Hi, I have this question.



    I stuck when finding the critical point. here it is:
    P(t < c) = 0.01

    since the t-distribution table tabulates the P(t > c) = area
    so in order to find c, i did this:

    P(t > c) = 0.99

    but when I was trying to get the value in the table, the maximum area shown is 0.4.

    how can I solve this? thanks.

    regards,

    tommy
    Get the critical value from these tables: Critical values of the t distribution
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