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Handout18-Statistics3

# Handout18-Statistics3 - P(x μ σ vs z =(x-μ σ for P{z...

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CEM 834 STATISTICS FALL 2005 III. Statistical Tables The following statistical tables for the Gaussian or normal probability distribution were compiled from “Data Reduction and Error Analysis for the Physical Sciences,” by P.R. Bevington, and “Probability and Statistics for Engineering and the Sciences,” 2nd Edition, by J.L. Devore. TABLE I: Gaussian probability distribution P(x, μ , σ ) vs. z = x - μ / σ .

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TABLE II: Integral of the Gaussian probability distribution P(x, μ , σ ) vs. z = x - μ / σ for P{ z z crit }. 2
TABLE III: Integral of the Gaussian probability distribution

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Unformatted text preview: P(x, μ , σ ) vs. z = (x -μ )/ σ for P {z ≤ z crit }. 3 TABLE III ( continued) : 4 TABLE IV: Critical values of t( α , ν ) for the t distribution. 5 TABLE V: Critical values of F( α , ν 1 , ν 2 ) for the F distribution. 6 TABLE V (continued) : 7 TABLE VI: Critical values of Q( α , ν ) for the student range distribution. ν 0.10 α 0.05 0.01 2 0.94 0.98 0.99 3 0.76 0.85 0.93 4 0.64 0.73 0.82 5 0.56 0.64 0.74 6 0.51 0.59 0.68 7 0.47 0.54 0.63 8 0.44 0.51 0.60 9 0.41 0.48 0.57 ∞ 0.00 0.00 0.00 8...
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