Sections
Formula Review

Formula Review

7.1The Central Limit Theorem for Sample Means (Averages)

Central limit theorem for sample means: $X¯X¯$ ~ N

Mean $X¯X¯$: μx

Central limit theorem for sample means z-score and standard error of the mean: $z=x¯−μx(σxn)z=x¯−μx(σxn)$

Standard error of the mean (standard deviation ($X¯X¯$)): $σxnσxn$

7.2The Central Limit Theorem for Sums (Optional)

Central limit theorem for sums: ∑X ~ N[(n)(μx),($nn$)(σx)]

Mean for sums (∑X): (n)(μx)

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

Standard deviation for sums (∑X): $(n)(n)$(σx)