Carrying Out a Test for the Difference of Two Population Means

AP Statistics· difficulty 4/5

n₁ = 25, x̄₁ = 50, s₁ = 6; n₂ = 25, x̄₂ = 47, s₂ = 5. SE for x̄₁ − x̄₂ ≈

  • A

    0.5

  • B

    3.0

  • C

    1.6

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  • D

    2.0

Explanation

SE = √(36/25 + 25/25) = √(1.44 + 1) = √2.44 ≈ 1.56.

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