Answer
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Work Step by Step
In ANOVA (Analysis of Variance), we are comparing the means of three or more groups to see if at least one group mean differs from the others. The hypotheses are formulated as follows:
Null Hypothesis $(H_0$)
$Η_0: \mu_1=\mu_2:=...=\:u_n$
- All group means are equal.
- There is no significant difference among the groups.
Alternative Hypothesis $(H_1)$
$H_1$: At least one group mean is different
- At least one group mean differs from the others.
- It does not specify which groups are different—just that a difference exists.