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The omnibus hypothesis in ANOVA would look like?

1) H0: m1 = m2
2) H0: m1 - m2
3) H0: m2 - m1
4) H0= m1 = m2 = m3 = m4

1 Answer

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Final answer:

The omnibus hypothesis in ANOVA states that all the population means of the groups being compared are equal. The correct representation of the null hypothesis in this context is option 4) H0= m1 = m2 = m3 = m4.

Step-by-step explanation:

The omnibus hypothesis in ANOVA (Analysis of Variance) tests whether there is any significant difference among the means of multiple groups. The null hypothesis (H0) typically assumes that all group means are equal. Therefore, option 4) H0= m1 = m2 = m3 = m4 represents the correct form of the omnibus hypothesis in ANOVA, stating that there is no significant difference among the means of the multiple groups being compared.

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