APFIVE Standard Deviation for the Difference of Means
Two normally distributed populations have means μ₁ = 75 and μ₂ = 70, and standard deviations σ₁ = 12 and σ₂ = 8. Independent random samples of size n₁ = 25 and n₂ = 16 are drawn. What is the standard deviation of the sampling distribution of x̄₁ - x̄₂?
A
√(σ₁² + σ₂²)
B
3
C
9
D
2.4
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