i. The alternate hypothesis for ANOVA states that not all the means are equal. ii. For an ANOVA test, rejection of the null hypothesis does not identify which populations differ significantly.
iii. If the computed value of F is 4.01 and the critical value is 2.67, we would conclude that all the population means are equal.
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) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Statement (i) is correct because the alternate hypothesis for ANOVA is that not all the population means are equal.

Statement (ii) is also correct because rejection of the null hypothesis only tells us that there is a difference in at least one of the population means, but it does not identify which populations differ significantly.

Statement (iii) is incorrect because if the computed value of F is greater than the critical value, then we would reject the null hypothesis and conclude that at least one of the population means is different from the others. Therefore, we would not conclude that all the population means are equal if F is greater than the critical value.

I the Alternate Hypothesis for ANOVA States That Not All