set10

set10 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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Unformatted text preview: THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 1 Tutorial Week 10 2006 1. Multiple choice Suppose that we wish to test the hypotheses H : μ = 10 against H 1 : μ > 10 . Let X 1 , ··· ,X 21 be observations from a normal population N ( μ,σ 2 ) ( σ is un- known) and let T = ¯ X − 10 S/ √ n , where ¯ X = summationdisplay X i / 21 and S = radicalBig summationdisplay ( X i − ¯ X ) 2 / 20. Under H the distribution of T is (a) t 21 (b) t 20 (c) t 22 (d) N (0 , 1) (e) none of these 2. Multiple choice Under the conditions in Q1 suppose an experiment gives an observed t score of 2.10: (a) the P-value is approximately 0.025 and we have evidence against H . (b) the P-value is greater than 0.025 and the data are consistent with H . (c) the P-value is less than 0.01 and we have strong evidence against H . (d) the P-value is approximately 0.05 and the data is consistent with H . (e) none of these....
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set10 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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