Sampling Distributions for Differences in Sample Means

AP Statistics· difficulty 4/5

SD of x̄₁ − x̄₂ for independent samples is

  • A

    (σ₁ − σ₂)/√n

  • B

    σ₁/n₁ + σ₂/n₂

  • C

    √(σ₁²/n₁ + σ₂²/n₂)

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  • D

    σ₁ + σ₂

Explanation

Variances add for independent samples; SD = square root of sum.

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