SD of x̄₁ − x̄₂ for independent samples is
- A
(σ₁ − σ₂)/√n
- B
σ₁/n₁ + σ₂/n₂
- Ccheck_circle
√(σ₁²/n₁ + σ₂²/n₂)
- D
σ₁ + σ₂
Explanation
Variances add for independent samples; SD = square root of sum.
AP Statistics· difficulty 4/5
SD of x̄₁ − x̄₂ for independent samples is
(σ₁ − σ₂)/√n
σ₁/n₁ + σ₂/n₂
√(σ₁²/n₁ + σ₂²/n₂)
σ₁ + σ₂
Explanation
Variances add for independent samples; SD = square root of sum.
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