i. For an ANOVA test, rejection of the null hypothesis does not identify which populations differ significantly.
Ii) Not rejecting the null hypothesis in ANOVA indicates that the population means are equal.
iii. The null hypothesis for an ANOVA is µ1 - µ2 = µ3
A) (i), (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) All statements are false

Question

i. For an ANOVA test, rejection of the null hypothesis does not identify which populations differ significantly.
Ii) Not rejecting the null hypothesis in ANOVA indicates that the population means are equal. 
iii. The null hypothesis for an ANOVA is µ1 - µ2 = µ3
A) (i), (ii) and (iii) are all correct statements
B) (i) and (ii) are correct statements, but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) All statements are false

Quizplus · Accepted Answer

(i) and (ii) are true because rejecting the null hypothesis in ANOVA only indicates that there is a significant difference among the population means, but it does not identify which specific populations differ significantly. Not rejecting the null hypothesis indicates that there is no significant difference among the population means. (iii) is false because the null hypothesis for an ANOVA is that all population means are equal, not that µ1 - µ2 = µ3.

I for an ANOVA Test, Rejection of the Null Hypothesis