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set8

# set8 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 8 2006 We encourage you to attempt these problems before your tutorial class. 1. 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 ) . 2. Multiple choice P ( X 38) in Q1 (using the normal approximation with continuity correction) is: 3. The proportion of families buying orange juice from JUJUJUICE of Australia in a certain city is believed to be 0.6. A consumer group claims that JUJUJUICE is now less popular than it was before. A random sample of 50 families from this city shows that only 22 buy JUJUJUICE. Let p be the probability of consumption of JUJUJUICE. (a) Explain why a one-sided test of H 0 : p = 0 . 6 vs. H 1 : p < 0 . 6 is suitable to test the claim of this consumer group (b) Let X be the number of families in the sample of 50 who consume JUJUJUICE.

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