Sampling Distributions for Differences in Sample Means

AP Statistics· difficulty 3/5

Two batteries: μ_A = 10 hr, σ_A = 1 hr, n_A = 16; μ_B = 9 hr, σ_B = 1 hr, n_B = 16.

σ = √(σ₁²/n₁ + σ₂²/n₂)

What is σ_(x̄_A − x̄_B)?

  • A

    ≈ 1.0

  • B

    ≈ 0.354

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  • C

    ≈ 0.25

  • D

    ≈ 0.5

Explanation

SD = √(1/16 + 1/16) = √(0.125) ≈ 0.354.

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