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Unformatted text preview: ranking? Assume profs’ scores are normally distributed with µ of 100 and ó of 25. Xµ 142100 z= 1.68 ó 25 Area under curve ‘Small Part’ = .0465, 9/8/10 Starting with An Area Under Curve and Finding Z and • Using the previous parameters of µ of 100 and ó of 25, what score would place a professor in top 10% of this distribution? After some algebra, we have X=µ+z (ó) • 100(µ) + 1.28(z)(25)(ó)=132 (X). A score of 132 would place a professor in top 10 %; • What scores place a professor in 9/8/10 What does ‘most extreme’ mean? • It is not just one end of the distribution, but both ends, or 2.5% at either end; • X= µ + z(ó)= 100+ 1.96(25)= 149 • 100 +1.96(25)=51; 51 and 149 place a professor at the most extreme 5 % of the distribution;...
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This note was uploaded on 09/08/2010 for the course SOCS 15 at San Jose State University .
 '10
 Cohn,SaulUri

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