Week_11_Practice_Problems

Week_11_Practice_Problems - Week 11 Practice Problems 1 A...

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Week 11 Practice Problems 1. A sample of 200 people are each asked to produce a “random digit” between 1 and 5. The data are value 1 2 3 4 5 frequency 35 42 48 37 38 Does a uniform model with equal probability for each digit fit these data? 2. In an ESP experiment, four cards labeled A,B,C,D are placed face down on a table and a subject is asked to peer through the cards in his or her mind and identify which card is which. a) Show that if a subject guesses which card is which, then the probability function for the correct number of matches Y is y 0 1 2 4 ( PY y = ) 9/24 8/24 6/24 1/24 b) A single subject was given the test 50 times with the resulting data y 0 1 2 4 frequency 14 20 12 4 Use a goodness of fit test to see if there is any evidence this subject has ESP. 3. Genetic theory suggests that the chance of three genotypes AA, Aa and aa in a population should follow a binomial distribution genotype AA Aa aa probability 2 θ 2( 1 ) 2 (1 )

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This note was uploaded on 03/20/2011 for the course STATISTICS 231 taught by Professor Mckay during the Spring '10 term at Waterloo.

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Week_11_Practice_Problems - Week 11 Practice Problems 1 A...

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