If σ₁² = 10 and σ₂² = 5, when will the robustness of the assumptions underlying the t-test be in jeopardy? (Consider Type I error only.) A) When mean₁/mean₂= 2 B) When N₁/N₂= 3 C) When mean₂/mean₁= 2 D) When N₂/N₁= 3

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The robustness of the assumptions underlying the t-test is in jeopardy when the ratio of sample sizes between the two groups being compared is very different (i.e. when N₂/N₁ is very large or very small). A common rule of thumb is that the ratio should be no larger than 3:1. Therefore, when N₂/N₁= 3, the robustness of the assumptions is in jeopardy.

If σ12 = 10 and σ22 = 5, When Will

If σ₁² = 10 and σ₂² = 5, When Will