1. The test statistic of the single-factor ANOVA equals:

a. sum of squares for treatments / sum of squares for error.

b. sum of squares for error / sum of squares for treatments.

c. mean square for treatments / mean square for error.

d. mean square for error / mean square for treatments.

2. In a single-factor analysis of variance, MST is the mean square for treatments and MSE is the mean square for error. The null hypothesis of equal population means is rejected if:

a. MST is much larger than MSE.

b. MST is much smaller than MSE.

c. MST is equal to MSE.

d. None of these choices.

3. In a one-way ANOVA, error variability is computed as the sum of the squared errors, SSE, for all values of the response variable. This variability is the:

a. the total variation.

b. within-treatments variation.

c. between-treatments variation.

d. None of these choices.

4. Which of the following is not a required condition for one-way ANOVA?

a. The sample sizes must be equal.

b. The populations must all be approximately normally distributed.

c. The population variances must be equal.

d. The samples for each treatment must be selected randomly and independently.

5. The analysis of variance is a procedure that allows statisticians to compare two or more population:

a. proportions.

b. means.

c. variances.

d. standard deviations.

6. The distribution of the test statistic for analysis of variance is the:

a. normal distribution.

b. Student t-distribution.

c. F-distribution.

d. None of these choices.

7. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal:

a. 24

b. 25

c. 29

d. 30

8. How does conducting multiple t-tests compare to conducting a single F-test?

a. Multiple t-tests increases the chance of a Type I error.

b. Multiple t-tests decreases the chance of a Type I error.

c. Multiple t-tests does not affect the chance of a Type I error.

d. This comparison cannot be made without knowing the number of populations.

9. One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances. Which of the following is the null hypothesis for this procedure?

a. 1 + 2 + 3 = 0

b. 1 + 2 + 3 0

c. 1 = 2 = 3 = 0

d. 1 = 2 = 3