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Math Help - simple statistic : Hypothesis test

  1. #1
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    simple statistic : Hypothesis test

    hey there...
    regarding the example on the attachment..
    how am i going to solve it using p value test..?
    because, i cant find t = 2.4 in the t distribution table..
    please guide me..
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  2. #2
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    A few things:

    #4: Your critical region is correct but the formula you have for t on the same line is used to calculate the test statistic, not the critical value. The critical value is obtained from your table.

    #5: The formula for s is actually unnecessary seeing how you're given the sample standard deviation.

    Now for your question. Just using tables, you won't be able to find the precise P-value that corresponds to your test statistic. The best thing you can do with the t-test is to give it bounds.

    If you look in your table, notice that t = 2.4 (df = 15) falls in between t = 2.249 and t = 2.602 which corresponds to p-values of 0.2 and 0.1 respectively (remember, this is just the upper tail so don't forget to adjust your bounds seeing how this is a two-tailed test).

    This should give you the necessary information to either reject or fail to reject the null hypothesis.
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  3. #3
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    got it!!! Thanks!!
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