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Unformatted text preview: skewed a very small amount to the left. The standard deviation is larger than when n=50. b. Theoretical mean=E(X)=100 x .9=90 Std Deviation= sq rt(Var X)=sq rt(90 x .1)=sq rt(9)=3 c. The mean is a little smaller than expected, but the standard deviation very close to the theoretical value. n=2000 a. This histogram is closer to the normal approximation. It is unimodal and there is an outlier at the lower end of the histogram. It is almost symmetrical. The standard deviation is even larger now, due to the larger sample size. b. Theoretical mean= E(X)=2000 x .9=1800 Std Deviation= sq rt(Var X)=sq rt(1800x.1)=sq rt(180)=13.42 c. The mean is only .16 higher than the theoretical value and the standard deviation is also a bit larger....
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This note was uploaded on 11/11/2009 for the course MATH 1710 taught by Professor Staff during the Fall '08 term at Cornell University (Engineering School).
- Fall '08