Question 1

In a two-way analysis of variance,the number of degrees of freedom is determined by the number of groups and blocks.

Accepted Answer

A) True 
 B)False

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results:
  
-Test the hypotheses that between-block means are equal.

Accepted Answer

H₀ : μ₁ = μ₂ = μ₃ = μ₄ = μ₅ = μ₆ H₁ : μ_i ≠ μ_jfor a

Question 3

Is there sufficient evidence to reject the null hypothesis that there is no difference between the different types of light bulbs?

Accepted Answer

A) Unable to reject H0 for α 0 for α = 0.01 
C) Unable to reject H0 for α > 0.10 
D) Reject H0 for α = 0.05 
A) Unable to reject H0 for α 0 for α = 0.01 
C) Unable to reject H0 for α > 0.10 
D) Reject H0 for α = 0.05

Question 4

Which of the following is a nonparametric alternative to a one-way ANOVA test?

Accepted Answer

A) Jarque-Bera test 
B) Wilcoxon rank sum test 
C) Kuiper's test 
D) Kruskal-Wallis test 
A) Jarque-Bera test 
B) Wilcoxon rank sum test 
C) Kuiper's test 
D) Kruskal-Wallis test

Question 5

In the one-way ANOVA test,if the sample sizes are large,then the assumption that the underlying population distributions are normal is not necessary.

Accepted Answer

A) True 
 B)False

Question 6

Both one-way and two-way ANOVA tests calculate interactions between groups and blocks.

Accepted Answer

A) True 
 B)False

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
An instructor in an economics class is considering three different texts.She is also considering three types of examinations-multiple choice,essays,and a mix of multiple choice and essays.During the year she teaches nine sections of the course and randomly assigns a text - examination type combination of each section.At the end of the course she obtained students' evaluations for each section.These ratings are shown in the accompanying table.
  
-Test the null hypothesis of equality of population mean ratings for the three examination types.Use α = 0.05.

Accepted Answer

H₀ : μ₁ = μ₂ = μ₃ H₁ : μ_i ≠ μ_jfor at least one

Question 8

In a one-way ANOVA,the total sum of squares is decomposed into the treatment-groups sum of squares and between-groups sum of squares.

Accepted Answer

A) True 
 B)False

Question 9

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results:
  
-Compute the mean squares between groups.

Accepted Answer

MSG = SSG

Question 10

Which of the following expressions in a one-way ANOVA,with n observations and k independent samples,is used to calculate the within-groups mean square?

Accepted Answer

A) MSW / MSG 
B) MSG / MSW 
C) SSW / (n - k) 
D) SSW / (k - 1) 
A) MSW / MSG 
B) MSG / MSW 
C) SSW / (n - k) 
D) SSW / (k - 1)

Question 11

A randomized block design ANOVA has five treatments and four blocks.The computed test statistic (value ofF)is 4.35.With a 0.05 significance level,the appropriate table value and conclusion will,respectively,be:

Accepted Answer

A) 14.37;fail to reject the null hypothesis. 
B) 3)11;fail to reject the null hypothesis. 
C) 3)26;fail to reject the null hypothesis. 
D) 3)26;reject the null hypothesis. 
A) 14.37;fail to reject the null hypothesis. 
B) 3)11;fail to reject the null hypothesis. 
C) 3)26;fail to reject the null hypothesis. 
D) 3)26;reject the null hypothesis.

Question 12

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The results of a two-factor ANOVA without replication are displayed below with missing values,identified by "A" through "G."
   
ANOVA: Two-Factor Without Replication
SUMMARY
   
ANOVA
  
-What value should "G" have?

Accepted Answer

A) 4.695 
B) 5.777 
C) 6.331 
D) 6.885 
A) 4.695 
B) 5.777 
C) 6.331 
D) 6.885

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Random samples of eight freshmen,eight sophomores,and eight juniors taking a business statistics class were drawn.The accompanying table shows scores on the final examination.
  
-Test the null hypothesis that the three population mean scores are equal.Use α = 0.05.

Accepted Answer

H₀ : μ₁ = μ₂ = μ₃ H₁ : μ_i ≠ μ_jfor at least one

Question 14

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses.
  
-What is the value of "G"?

Accepted Answer

A) 1.350 
B) 1.192 
C) 1.421 
D) 1.820 
A) 1.350 
B) 1.192 
C) 1.421 
D) 1.820

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
An analysis of variance table is displayed below with missing values,denoted by asterisks.
ANOVA: Single Factor
SUMMARY
   
ANOVA
  
-The between groups sum of squares is equal to:

Accepted Answer

A) 76.801 
B) 65.622 
C) 58.718 
D) 72.329 
A) 76.801 
B) 65.622 
C) 58.718 
D) 72.329

Question 16

The Kruskal-Wallis test for the difference in population means is based on the variances of the sample observations.

Accepted Answer

A) True 
 B)False

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses.
  
-What is the value of "B"?

Accepted Answer

A) 6 
B) 5 
C) 3 
D) 2 
A) 6 
B) 5 
C) 3 
D) 2

Question 18

The F test in one-way ANOVA models is just an expansion of the t test for independent samples.

Accepted Answer

A) True 
 B)False

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
An investor studied the percentage rates of return of three different types of mutual funds.Random samples of percentage rates of return for four periods were taken from each fund.The results appear in the table below:
Mutual Funds
  
-Construct the ANOVA table for this situation.

Accepted Answer

SUMMARY
 @#IMG-DLM&

Question 20

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A consumer group wanted to examine how long different life bulbs last.They selected three different light bulbs (60 watt,75 watt and 100 watt)from four different manufacturers.They generated the following statistics from the data.
  
-What is the value of "B"?

Accepted Answer

A) 7 
B) 5 
C) 3 
D) 2 
A) 7 
B) 5 
C) 3 
D) 2

In a two-way analysis of variance,the number of degrees of freedom is determined by the number of groups and blocks.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results: -Test the hypotheses that between-block means are equal.

Is there sufficient evidence to reject the null hypothesis that there is no difference between the different types of light bulbs?

Which of the following is a nonparametric alternative to a one-way ANOVA test?

In the one-way ANOVA test,if the sample sizes are large,then the assumption that the underlying population distributions are normal is not necessary.

Both one-way and two-way ANOVA tests calculate interactions between groups and blocks.

In a one-way ANOVA,the total sum of squares is decomposed into the treatment-groups sum of squares and between-groups sum of squares.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results: -Compute the mean squares between groups.

Which of the following expressions in a one-way ANOVA,with n observations and k independent samples,is used to calculate the within-groups mean square?

A randomized block design ANOVA has five treatments and four blocks.The computed test statistic (value ofF)is 4.35.With a 0.05 significance level,the appropriate table value and conclusion will,respectively,be:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below with missing values,identified by "A" through "G." ANOVA: Two-Factor Without Replication SUMMARY ANOVA -What value should "G" have?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses. -What is the value of "G"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY ANOVA -The between groups sum of squares is equal to:

The Kruskal-Wallis test for the difference in population means is based on the variances of the sample observations.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses. -What is the value of "B"?

The F test in one-way ANOVA models is just an expansion of the t test for independent samples.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 15: Analysis of Variance

In a two-way analysis of variance,the number of degrees of freedom is determined by the number of groups and blocks.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results: -Test the hypotheses that between-block means are equal.

Is there sufficient evidence to reject the null hypothesis that there is no difference between the different types of light bulbs?

Which of the following is a nonparametric alternative to a one-way ANOVA test?

In the one-way ANOVA test,if the sample sizes are large,then the assumption that the underlying population distributions are normal is not necessary.

Both one-way and two-way ANOVA tests calculate interactions between groups and blocks.

In a one-way ANOVA,the total sum of squares is decomposed into the treatment-groups sum of squares and between-groups sum of squares.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results: -Compute the mean squares between groups.

Which of the following expressions in a one-way ANOVA,with n observations and k independent samples,is used to calculate the within-groups mean square?

A randomized block design ANOVA has five treatments and four blocks.The computed test statistic (value ofF)is 4.35.With a 0.05 significance level,the appropriate table value and conclusion will,respectively,be:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below with missing values,identified by "A" through "G." ANOVA: Two-Factor Without Replication SUMMARY ANOVA -What value should "G" have?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses. -What is the value of "G"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An analysis of variance table is displayed below with missing values,denoted by asterisks. ANOVA: Single Factor SUMMARY ANOVA -The between groups sum of squares is equal to:

The Kruskal-Wallis test for the difference in population means is based on the variances of the sample observations.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Four stock analysts were asked to predict earnings for three different stocks for the next year.The following ANOVA table with missing values identified by "A" through "H" summarizes the responses. -What is the value of "B"?

The F test in one-way ANOVA models is just an expansion of the t test for independent samples.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters