# 09_29 - STAT 400 Examples for Fall 2011 1 Consider the...

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Unformatted text preview: STAT 400 Examples for 09/29/2011 Fall 2011 1. Consider the following data set: 14.0 27.7 21.1 25.0 21.7 27.3 26.5 15.7 22.2 23.5 14.4 21.2 13.3 18.7 Construct a q- q plot, N ( , 1 ) percentiles versus the data ( normal probability plot ). k x p = k / 15 z 1 13.3 0.0667 – 1.50 2 14.0 0.1333 – 1.11 3 14.4 0.2000 – 0.84 4 15.7 0.2667 – 0.62 5 18.7 0.3333 – 0.43 6 21.1 0.4000 – 0.25 7 21.2 0.4667 – 0.08 8 21.7 0.5333 0.08 9 22.2 0.6000 0.25 10 23.5 0.6667 0.43 11 25.0 0.7333 0.62 12 26.5 0.8000 0.84 13 27.3 0.8667 1.11 14 27.7 0.9333 1.50 ___________________________________________________________________________ EXCEL: = NORMSDIST( z ) gives P( Z ≤ z ) = Φ ( z ) = NORMSINV( p ) gives z such that P( Z ≤ z ) = p = NORMDIST( x , μ , σ , 1 ) gives P( X ≤ x ), where X is N( μ , σ 2 ) = NORMDIST( x , μ , σ , ) gives f ( x ), p.d.f. of N( μ , σ 2 ) = NORMSINV( p , μ , σ ) gives x such that P( X ≤ x ) = p , where X is N( μ , σ 2 ) ___________________________________________________________________________ ___________________________________________________________________________...
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09_29 - STAT 400 Examples for Fall 2011 1 Consider the...

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