10_25_2ans - STAT 420 Examples for 10/25/2007 Fall 2007 1....

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STAT 420 Examples for 10/25/2007 Fall 2007 1. The country of Neverland has a range of mountains that stretches all the way across the country from North to South. We wish to test whether the average height of adult males born in the Western half of the country is different from the average height of adult males born in the Eastern half. We obtain a random sample of 6 adult male Neverlandians who were born in the Western half of the country, and a random sample of 8 adult males who were born in the Eastern half. The heights of the 14 individuals in inches are as follows: West: 65, 68, 67, 66, 71, 68. East: 68, 70, 67, 71, 70, 72, 73, 69. Assume that the populations are approximately normally distributed, and that the overall variances are equal. a) Compute 1 y , 2 y , 2 1 s , and 2 2 s . n = 6 m = 8 6 405 = = n x x = 67.5 8 560 = = m y y = 70 x x x - ( ) 2 x x - y y y - ( ) 2 y y - 65 2.5 6.25 68 2 4 68 0.5 0.25 70 0 0 67
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This note was uploaded on 04/29/2010 for the course STAT stat 420 taught by Professor Stepanov during the Spring '07 term at University of Illinois at Urbana–Champaign.

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10_25_2ans - STAT 420 Examples for 10/25/2007 Fall 2007 1....

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