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AP Statistics/Unit 5: Sampling Distributions
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Standard Deviation for the Difference of Means

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A random sample of size n₁ = 25 is selected from a normal population with a mean μ₁ = 75 and standard deviation σ₁ = 12. An independent random sample of size n₂ = 16 is selected from a second normal population with a mean μ₂ = 70 and standard deviation σ₂ = 8. What is the standard deviation of the sampling distribution of the difference between the sample means, x̄₁ − x̄₂?

A

3

B

√(σ₁² + σ₂²)

C

2.4

D

9

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