An experiment will be conducted to compare the effectiveness of a new treatment against a placebo. Which of the following combinations would lead to a test with the highest power? A) n₁ = 40, n₂ = 45 and $\mu$₁ - $\mu$₂ = 10 B) n₁ = 40, n₂ = 45 and $\mu$₁- $\mu$₂ = 20 C) n₁ = 70, n₂ = 80 and $\mu$₁- $\mu$₂ = 10 D) n₁ = 70, n₂ = 80 and $\mu$₁ - $\mu$₂ = 20

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The power of a test increases with larger sample sizes and larger differences between the means of the groups being compared. Option D has the largest sample sizes and the largest difference between means, leading to the highest power.

An Experiment Will Be Conducted to Compare the Effectiveness of a New