Answer:
Alternative hypothesis: "AT LEAST ONE" of the population means is different from the others
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample". Â
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean" Â
If we assume that we have n groups and we want to check if the population means are equal, th best way to check this it's with an ANOVA test.
The hypothesis for this case are:
Null hypothesis: [tex]\mu_{1}=\mu_{2}=\dots =\mu_{n}[/tex]
Or in words:
Null hypothesis: All treatments/samples come from populations with the same mean
Alternative hypothesis: Not all the means are equal [tex]\mu_{i}\neq \mu_{j}, i,j=1.2,\dots ,n[/tex]
Or we can say:
Alternative hypothesis: "AT LEAST ONE" of the population means is different from the others
