Finite Population Correction For Difference In Means
Researchers are comparing the mean test scores from two schools with populations of 300 and 400 students. An independent random sample of 45 students is selected without replacement from the first school, and a random sample of 50 students is selected without replacement from the second. Which of the following expressions represents the standard deviation of the sampling distribution of the difference in sample means?
A
√[σ₁²/N₁ + σ₂²/N₂]
B
√[(σ₁²+σ₂²)/(n₁+n₂)]
C
√[σ₁²/n₁ + σ₂²/n₂]
D
√[(σ₁²/n₁)(1-n₁/N₁) + (σ₂²/n₂)(1-n₂/N₂)]
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