Normal Distribution Class

University of south carolina slide 18 town 1 town 2

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Unformatted text preview: Slide 18 Town 1 Town 2 0.212 0.055 Z= X −µ σ Z X -4 -3 4.7 -2 5.2 -1 0 1 2 3 5.7 6.2 6.7 7.2 7.7 4 Z Y -4 -3 -2 3.2 4.2 -1 0 5.2 6.2 1 2 7.2 8.2 3 9.2 Town 1: 7 − 6 .2 P ( X > 7 .0 ) = P Z > = P ( Z > 1.6) = 0.055 0.5 Town 2: 7 − 6. 2 P (Y > 7.0) = P Z > = P( Z > 0.8) = 0.212 1. 0 G. Baker, Department of Statistics G. University of South Carolina; Slide 19 4 Standard Normal 0.10 0.10 0.05 0.05 0.025 0.01 0.005 -4 -3 0.025 0.01 0.005 -2 -1 -2.326 -1.645 -2.576 -1.96 -1.282 0 1 2 3 1.645 2.326 1.282 1.96 2.576 4 G. Baker, Department of Statistics G. University of South Carolina; Slide 20 The thickness of a certain steel bolt that continuously feeds a manufacturing process is normally distributed with a mean of 10.0 mm and standard deviation of 0.3 mm. Manufacturing becomes concerned...
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This note was uploaded on 01/12/2014 for the course STA 509 taught by Professor Wang during the Fall '13 term at South Carolina.

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