APFIVE Finite Population Correction For Difference In Means
A study compares mean test scores from two schools with populations of 300 and 400 students respectively. If samples of 45 students from the first school and 50 from the second are selected without replacement, which expression most accurately represents the standard deviation of the sampling distribution for the difference in means?
A
√[σ₁²/n₁ + σ₂²/n₂]
B
√[(σ₁²/n₁)(1-n₁/N₁) + (σ₂²/n₂)(1-n₂/N₂)]
C
√[(σ₁²+σ₂²)/(n₁+n₂)]
D
√[σ₁²/N₁ + σ₂²/N₂]
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