Formula Review

7.1The Central Limit Theorem for Sample Means

The Central Limit Theorem for Sample Means:

$X – X –$ ~ N

$Z= X – − μ X – σ X – = X – - μ σ / n Z= X – − μ X – σ X – = X – - μ σ / n$

The Mean $X – :μx– X – :μx–$

Central Limit Theorem for Sample Means z-score $z= x – −μx– ( σ n ) z= x – −μx– ( σ n )$

Standard Error of the Mean (Standard Deviation ($X – X –$)): $σ n σ n$

Finite Population Correction Factor for the sampling distribution of means: $Z=x¯−μσn·N−nN−1Z=x¯−μσn·N−nN−1$

Finite Population Correction Factor for the sampling distribution of proportions: $σp'=p(1−p)n×N−nN−1σp'=p(1−p)n×N−nN−1$

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