Question

The one-way ANOVA is a generalization of what other statistical test?

	ANOVA is a generalization of the two-sample t test for independent means.
	ANOVA is a generalization of Levene's test for differences between variations.
	ANOVA is a generalization of the paired t test for independent means.
	ANOVA is not related to any other tests.

2. The conclusion that you would draw from the test above is:

A. fail to reject the null hypothesis.

B. reject the null hypothesis. There is strong evidence (P < 0.05) that the means for each of the months are different than one another.

C. reject the null hypothesis. There is strong evidence (P < 0.05) that the mean for at least one of the months is different.

D. accept the null hypothesis.

Answer 1

1.

In ANOVA, we take null hypothesis as all means are same and alternative hypothesis as all means are not same.

In two-sample t-test, we take null hypothesis two means are same and alternative hypothesis two means are not same.

So, one-way ANOVA can be considered as combination of t-tests.

Thus the one-way ANOVA is a generalization of the two-sample t-test for independent means.

2.

Two conclusions from ANOVA are as follows.

• We fail to reject null hypothesis.
• We can reject null hypothesis. Thus at least two means are not same.

Hence, the conclusions that you would draw from the test above are

A. Fail to reject the null hypothesis.

C. Reject the null hypothesis. There is strong evidence (P < 0.05) that the mean for at least one of the months is different.