In an ANOVA test of the differences between the means of three groups,the null hypothesis is:
A) $ \mu_{1}=\mu_{2}=\mu_{3} $
B) $ \mu_{1} \neq \mu_{2} \neq \mu_{3} $
C) $ \mu_{1}-\mu_{2}-\mu_{3}=0 $
D) $ \mu_{1}+\mu_{2}+\mu_{3}=1 $

Question

Quizplus · Accepted Answer

The null hypothesis in an ANOVA test is that there is no significant difference between the means of the three groups. This is represented by the equation $ \mu_{1}=\mu_{2}=\mu_{3} $. Choice B and C indicate that there are significant differences between the means, while choice D is not a valid statement for the null hypothesis.

In an ANOVA Test of the Differences Between the Means μ1=μ2=μ3 \mu_{1}=\mu_{2}=\mu_{3} μ1​=μ2​=μ3​

In an ANOVA Test of the Differences Between the Means $\mu_{1}=\mu_{2}=\mu_{3}$