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set9 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 9 2006 1. Multiple choice A p -value of 0.02 means: (a) there is 98% chance H 0 true, (b) there is 98% chance H 1 true, (c) there is strong evidence against H 0 , (d) the data are consistent with H 0 . (e) none of these 2. Multiple choice X 1 , X 2 , . . . , X 36 represents a random sample from a distribution with mean μ = 20 and standard deviation σ = 10. Indicate which of the following distributions is a good approximation to the distribution of ¯ X (= 1 36 summationdisplay i X i ). (a) N (20 , 10 2 ). (b) standard normal. (c) N (20 , 10 / 36). (d) N (20 , 36 / 10). (e) N parenleftBig 20 , 10 2 36 parenrightBig . 3. Multiple choice X is binomial with n = 100 and p = 0 . 4 Which of the following normal distributions is a good approximation to the distribution of X ? (a) N (100 , 0 . 4). (b) N (40 , 24). (c) N (100 , 0 . 16). (d) standard normal. (e) N ( 40 , 24 100 ) . 4. The proportion of defective items produced by a factory is 0.1. As part of the quality control procedure, a random sample of 12 items is inspected daily.

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set9 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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