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Unformatted text preview: Sample problems 2 1. Consider the following random sample: 2 . 5, 0 . 3, 1 . 5, 1 . 2, 1 . 4, 2 . 0, 1 . 7, 1 . 5, 1 . 2, 2 . 0, . 5, 1 . 1. Test the hypothesis that this comes from a tdistribution with 1 degree of freedom. Use = 0 . 05 Solution: Since n = 12, we should use no more than 4 bins. Lets set up the bins in such a way that the expected frequency in each bin is equal to 3. Since t . 25 , 1 = 1 . 000, the bins should be x < 1, 1 < x < 0, 0 < x < 1, and x > 1, respectively. So the observed frequencies become: O 1 = 5, O 2 = 1, O 3 = 1 and O 4 = 5. The value of the test statistic is 2 = 1 3 2 2 + 2 2 + 2 2 + 2 2 = 5 . 33 . Since 2 . 05 ,k p 1 = 2 . 05 , 4 1 = 2 . 05 , 3 = 7 . 81, we cant reject the null hypothesis and conclude that it is plausible. 2. Out of 70 Lehigh students 50 like Heineken more than Becks, and out of 60 Lafayette students, 35 prefer Heineken to Becks. Is it reasonable to believe that the beer preference is independent of the place of study?is independent of the place of study?...
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This note was uploaded on 03/17/2008 for the course IE 121 taught by Professor Perevalov during the Spring '08 term at Lehigh University .
 Spring '08
 Perevalov

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