Question 1

Part of an ANOVA table is shown below.   ​ The number of degrees of freedom corresponding to between-treatments is

Accepted Answer

A)  18. 
B)  2. 
C)  4. 
D)  3. 
A)  18. 
B)  2. 
C)  4. 
D)  3.

Question 2

In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as

Accepted Answer

A)  main effect. 
B)  replication. 
C)  interaction. 
D)  error. 
A)  main effect. 
B)  replication. 
C)  interaction. 
D)  error.

Question 3

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations).Also, the design provided the following information. ​
SSTR = 300 (Sum of Squares Due to Treatments)
SST = 800 (Total Sum of Squares)
​
The number of degrees of freedom corresponding to within-treatments is

Accepted Answer

A)  60. 
B)  59. 
C)  5. 
D)  4. 
A)  60. 
B)  59. 
C)  5. 
D)  4.

Question 4

Consider the following information. ​   ​
The null hypothesis is to be tested at the 5% level of significance.The null hypothesis

Accepted Answer

A)  should be rejected. 
B)  should not be rejected. 
C)  was designed incorrectly. 
D)  cannot be tested. 
A)  should be rejected. 
B)  should not be rejected. 
C)  was designed incorrectly. 
D)  cannot be tested.

Question 5

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. ​   ​
The test statistic to test the null hypothesis equals

Accepted Answer

A)  .944. 
B)  1.06. 
C)  3.13. 
D)  19.231. 
A)  .944. 
B)  1.06. 
C)  3.13. 
D)  19.231.

Question 6

Consider the following ANOVA table. ​   ​
The sum of squares due to error equals

Accepted Answer

A)  13833.6. 
B)  2073.6. 
C)  5760. 
D)  6000. 
A)  13833.6. 
B)  2073.6. 
C)  5760. 
D)  6000.

Question 7

MNM, Inc.has three stores located in three different areas.Random samples of the daily sales of the three stores (in $1000) are shown below.   ​
At the 1% level of significance, test to see if there is a significant difference in the average sales of the three stores.Use both the critical and p-value approaches.

Accepted Answer

@#IMG-DLM& ​
F = 4.91 < 8.02;

Question 8

Part of an ANOVA table is shown below.   ​ The mean square due to error (MSE) is

Accepted Answer

A)  60. 
B)  15. 
C)  18. 
D)  20. 
A)  60. 
B)  15. 
C)  18. 
D)  20.

Question 9

Which of the following is not a required assumption for the analysis of variance?

Accepted Answer

A)  The random variable of interest for each population has a normal probability distribution. 
B)  The variance associated with the random variable must be the same for all populations. 
C)  At least 2 populations are under consideration. 
D)  Populations under consideration have equal means. 
A)  The random variable of interest for each population has a normal probability distribution. 
B)  The variance associated with the random variable must be the same for all populations. 
C)  At least 2 populations are under consideration. 
D)  Populations under consideration have equal means.

Question 10

Part of an ANOVA table is shown below.   ​ If we want to determine whether or not the means of the populations are equal, the p-value is

Accepted Answer

A)  greater than .1. 
B)  between .05 to .1. 
C)  between .025 to .05. 
D)  less than .01. 
A)  greater than .1. 
B)  between .05 to .1. 
C)  between .025 to .05. 
D)  less than .01.

Question 11

Part of an ANOVA table is shown below.   ​ The mean square due to treatments (MSTR) is

Accepted Answer

A)  36. 
B)  16. 
C)  64. 
D)  15. 
A)  36. 
B)  16. 
C)  64. 
D)  15.

Question 12

In an ANOVA procedure, a term that means the same as the term "variable" is

Accepted Answer

A)  factor. 
B)  treatment. 
C)  replication. 
D)  within-variance. 
A)  factor. 
B)  treatment. 
C)  replication. 
D)  within-variance.

Question 13

The marketing department of a company has designed three different packing boxes for its product.It wants to determine which box will produce the largest amount of sales.Each box will be test-marketed in five different stores for a period of a month.Below you are given the information on sales (in dollars).   ​ 
a.
State the null and alternative hypotheses.
b.
Construct an ANOVA table.
c.
What conclusion do you draw?
d.
Use Fisher's LSD procedure and determine which mean (if any) is different from the others.Let α = .01.

Accepted Answer

The answer of The marketing department of a company has...

Question 14

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below.   ​ The mean square due to error (MSE) equals

Accepted Answer

A)  1.872. 
B)  5.86. 
C)  34. 
D)  36. 
A)  1.872. 
B)  5.86. 
C)  34. 
D)  36.

Question 15

Consider the following information. ​   ​
The test statistic to test the null hypothesis equals

Accepted Answer

A)  .22. 
B)  .84. 
C)  4.22. 
D)  4.50. 
A)  .22. 
B)  .84. 
C)  4.22. 
D)  4.50.

Question 16

Six observations were selected from each of three populations.The data obtained is shown below.   ​
Test at the .05 level to determine if there is a significant difference in the means of the three populations.Use both the critical value and the p-value approaches.

Accepted Answer

@#IMG-DLM& ​
F = 1.80 < 3.68;

Question 17

The ANOVA procedure is a statistical approach for determining whether or not the means of _____ are equal.

Accepted Answer

A)  two samples 
B)  two or more samples 
C)  two populations 
D)  three or more populations 
A)  two samples 
B)  two or more samples 
C)  two populations 
D)  three or more populations

Question 18

Part of an ANOVA table is shown below.   ​ The test statistic is

Accepted Answer

A)  2.25. 
B)  6.00. 
C)  2.67. 
D)  3.00. 
A)  2.25. 
B)  6.00. 
C)  2.67. 
D)  3.00.

Question 19

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. ​   ​
The null hypothesis is to be tested at the 1% level of significance.The p-value is

Accepted Answer

A)  greater than .1. 
B)  between .05 to .10. 
C)  less than .01. 
D)  between .01 to .025. 
A)  greater than .1. 
B)  between .05 to .10. 
C)  less than .01. 
D)  between .01 to .025.

Question 20

An ANOVA procedure is used for data that was obtained from five sample groups each comprised of six observations.The degrees of freedom for the critical value of F are

Accepted Answer

A)  5 and 30. 
B)  4 and 25. 
C)  4 and 30. 
D)  4 and 6. 
A)  5 and 30. 
B)  4 and 25. 
C)  4 and 30. 
D)  4 and 6.

Part of an ANOVA table is shown below. The number of degrees of freedom corresponding to between-treatments is

In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as

Consider the following information. The null hypothesis is to be tested at the 5% level of significance.The null hypothesis

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. The test statistic to test the null hypothesis equals

Consider the following ANOVA table. The sum of squares due to error equals

Part of an ANOVA table is shown below. The mean square due to error (MSE) is

Which of the following is not a required assumption for the analysis of variance?

Part of an ANOVA table is shown below. If we want to determine whether or not the means of the populations are equal, the p-value is

Part of an ANOVA table is shown below. The mean square due to treatments (MSTR) is

In an ANOVA procedure, a term that means the same as the term "variable" is

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. The mean square due to error (MSE) equals

Consider the following information. The test statistic to test the null hypothesis equals

Six observations were selected from each of three populations.The data obtained is shown below. Test at the .05 level to determine if there is a significant difference in the means of the three populations.Use both the critical value and the p-value approaches.

The ANOVA procedure is a statistical approach for determining whether or not the means of _____ are equal.

Part of an ANOVA table is shown below. The test statistic is

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. The null hypothesis is to be tested at the 1% level of significance.The p-value is

An ANOVA procedure is used for data that was obtained from five sample groups each comprised of six observations.The degrees of freedom for the critical value of F are

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Simple Linear Regression

Multiple Regression

Filters

Exam 13: Experimental Design and Analysis of Variance

Part of an ANOVA table is shown below. ​ The number of degrees of freedom corresponding to between-treatments is

In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as

Consider the following information. ​ ​ The null hypothesis is to be tested at the 5% level of significance.The null hypothesis

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. ​ ​ The test statistic to test the null hypothesis equals

Consider the following ANOVA table. ​ ​ The sum of squares due to error equals

Part of an ANOVA table is shown below. ​ The mean square due to error (MSE) is

Which of the following is not a required assumption for the analysis of variance?

Part of an ANOVA table is shown below. ​ If we want to determine whether or not the means of the populations are equal, the p-value is

Part of an ANOVA table is shown below. ​ The mean square due to treatments (MSTR) is

In an ANOVA procedure, a term that means the same as the term "variable" is

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. ​ The mean square due to error (MSE) equals

Consider the following information. ​ ​ The test statistic to test the null hypothesis equals

Six observations were selected from each of three populations.The data obtained is shown below. ​ Test at the .05 level to determine if there is a significant difference in the means of the three populations.Use both the critical value and the p-value approaches.

The ANOVA procedure is a statistical approach for determining whether or not the means of _____ are equal.

Part of an ANOVA table is shown below. ​ The test statistic is

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. ​ ​ The null hypothesis is to be tested at the 1% level of significance.The p-value is

An ANOVA procedure is used for data that was obtained from five sample groups each comprised of six observations.The degrees of freedom for the critical value of F are

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Simple Linear Regression

Multiple Regression

Filters

Part of an ANOVA table is shown below. The number of degrees of freedom corresponding to between-treatments is

Consider the following information. The null hypothesis is to be tested at the 5% level of significance.The null hypothesis

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. The test statistic to test the null hypothesis equals

Consider the following ANOVA table. The sum of squares due to error equals

Part of an ANOVA table is shown below. The mean square due to error (MSE) is

Part of an ANOVA table is shown below. If we want to determine whether or not the means of the populations are equal, the p-value is

Part of an ANOVA table is shown below. The mean square due to treatments (MSTR) is

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. The mean square due to error (MSE) equals

Consider the following information. The test statistic to test the null hypothesis equals

Six observations were selected from each of three populations.The data obtained is shown below. Test at the .05 level to determine if there is a significant difference in the means of the three populations.Use both the critical value and the p-value approaches.

Part of an ANOVA table is shown below. The test statistic is

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below. The null hypothesis is to be tested at the 1% level of significance.The p-value is