Basic Statistics For Business And Economics 6th Canadian Edition By Linda – Test Bank

Chapter 11

Analysis of Variance

Multiple Choice Questions

1. Which of the following is NOT a characteristic of the F distribution?
   A.It is based on two sets of degrees of freedom.
   B. It is positively skewed.
   C. As the values of X increase, the F curve approaches the X-axis and eventually equals zero.
   D. It is asymptotic.

Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

2. i. One characteristic of the F distribution is that F cannot be negative.
   ii. One characteristic of the F distribution is that computed F can only range between -1 and +1.
   iii. The shape of the F distribution is positively skewed.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

3. i. One characteristic of the F distribution is that F cannot be negative.
   ii. The shape of the F distribution is determined by the degrees of freedom for the F-statistic, one for the numerator and one for the denominator.
   iii. The F distribution’s curve is positively skewed.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

4. i. One characteristic of the F distribution is that computed F can only range between -1 and +1.
   ii. The shape of the F distribution is determined by the degrees of freedom for the F-statistic, one for the numerator and one for the denominator.
   iii. The F distribution’s curve is positively skewed.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

5. i. The F distribution is positively skewed and its values may range from 0 to plus infinity.
   ii. The F distribution’s curve is positively skewed.
   iii. There is one, unique F distribution for a F-statistic with 29 degrees of freedom in the numerator and 28 degrees of freedom in the denominator.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

6. i. The shape of the F distribution is determined by the degrees of freedom for the F-statistic, one for the numerator and one for the denominator.
   ii. The F distribution’s curve is positively skewed.
   iii. Unlike Student’s t distribution, there is only one F distribution.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

7. i. The F distribution is positively skewed and its values may range from 0 to plus infinity.
   ii. The F distribution’s curve is positively skewed.
   iii. Like Student’s t distribution, a change in the degrees of freedom causes a change in the shape of the F distribution.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

8. i. The test statistic used in ANOVA is F.
   ii. The calculated F value must be equal to or greater than zero (0).
   iii. The shape of the F distribution is symmetrical.
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

9. i. The shape of the F distribution is determined by the degrees of freedom for the F-statistic, one for the numerator and one for the denominator.
   ii. Like Student’s t distribution, a change in the degrees of freedom causes a change in the shape of the F distribution.
   iii. The calculated F value must be equal to or greater than zero (0).
   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.

Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 11-01 Apply the F distribution to test a hypothesis that two population variances are equal.
Topic: 11-02 The F Distribution

10. i. The F distribution is positively skewed and its values may range from 0 to plus infinity.
    ii. The F distribution’s curve is positively symmetrical.
    iii. Like Student’s t distribution, a change in the degrees of freedom causes a change in the shape of the F distribution.
    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.