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Formula

Central limit theorem for sample means

X ~ N ( μ X , σ X n ) The Mean ( X ) : μ X

Formula

Central limit theorem for sample means z-score and standard error of the mean

z = x - μ X ( σ X n ) Standard Error of the Mean (Standard Deviation ( X ) ): σ X n

Formula

Central limit theorem for sums

ΣX ~ N [ ( n ) μ X , n σ X ] Mean for Sums ( ΣX ) : n μ X

Formula

Central limit theorem for sums z-score and standard deviation for sums

z = Σx n μ X n σ X Standard Deviation for Sums ( ΣX ) : n σ X

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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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