Sampling Distributions for Differences in Sample Means

AP Statistics· difficulty 3/5

Drug A: μ_A = 8, σ_A = 2, n_A = 50. Drug B: μ_B = 6, σ_B = 2, n_B = 50.

σ_diff = √(4/50 + 4/50)

What is σ_(x̄_A − x̄_B)?

  • A

    ≈ 0.4

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  • B

    ≈ 0.08

  • C

    ≈ 2

  • D

    ≈ 4

Explanation

SD = √(4/50 + 4/50) = √(0.16) = 0.4.

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