# Ebook Problems ANOVA 2Way

## EBook Problems Set - Two-Way ANOVA

### Problem 1

In a two-way ANOVA test, what are the typical null hypothesizes?

• Choose all that apply.
(a) The population means of the first factor are equal.
(b) The population means of the first and second factor are equal.
(c) The population means of the second factor are equal.
(d) There is no interaction between the two factors.

### Problem 2

Suppose that two factors, A and B, is thought to affect the top speed of a car. We will use two-way ANOVA analysis. Are the population means of factor A equal?

 Top Speed A B 93.0 1 1 136.0 1 2 198.0 1 3 88.0 2 1 148.0 2 2 279.0 2 3
(a) Yes, they are equal.
(b) No, they are not equal.

### Problem 3

Using the data from the previous problem and two-way ANOVA analysis, are the population means of factor B equal?

(a) Yes, they are equal.
(b) No, they are not equal.

### Problem 4

Using the data from the previous problem and two-way ANOVA analysis, is there an interaction effect between the two factors?