Which of the following is a possible null hypothesis in an analysis of variance with 5 groups?
( H ₁: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄ ≠ μ₅; H ₂: μ₁ ≠ μ₂ = μ₃ = μ₄ = μ₅)

Question

Which of the following is a possible null hypothesis in an analysis of variance with 5 groups? ( H ₁: μ₁ ≠ μ₂ ≠ μ₃ ≠ μ₄ ≠ μ₅; H ₂: μ₁ ≠ μ₂ = μ₃ = μ₄ = μ₅)

Quizplus · Accepted Answer

In an analysis of variance (ANOVA), the null hypothesis typically states that there are no differences between group means, implying all group means are equal. Neither of the provided options represents this; the first option suggests all means are different, and the second suggests a mix of equality and inequality, which are not standard forms for a null hypothesis in ANOVA.

Which of the Following Is a Possible Null Hypothesis in an Analysis