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Unformatted text preview: Statistics NYU - Spring 2012 Prof Giuseppe Arbia V31 0018 001/ V31 0018 006 9 th homework Thursday March 29 th 2012 Answer each of the questions Read the questions carefully and keep your answers brief and to the point PLEASE WRITE NEATLY Please leave your homework in the mailbox of your respective Teaching Assistant by Tuesday at 8:00am Since the homework will be discussed during the Lab sessions, no late homework can be accepted Good work ! Question 1 Assume that a sample is observed from a population such that X N(10; 16). a) derive the sampling distribution of ( n ! 1) s 2 ! 2 for a sample of dimension n = 20 , s 2 being the unbiased estimator of the variance. b) what is the probability that a sample variance exceedes 15 in this experiment ? Question 2 Three classes of students take an exam in statistics on the same day. In the first class there are 15 students, 16 in the second and 14 in the third. The Professor distributes three different exam texts in the three classes. The grades 16 in the second and 14 in the third....
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- Spring '12