Question 1

The number of times each experimental condition is observed in a factorial design is known as

Accepted Answer

A)  partition. 
B)  replication. 
C)  blocking. 
D)  factor. 
A)  partition. 
B)  replication. 
C)  blocking. 
D)  factor.

Question 2

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 3

An experimental design where the experimental units are randomly assigned to the treatments is known as _____ design.

Accepted Answer

A)  factor block 
B)  random factor 
C)  completely randomized 
D)  randomized treatment 
A)  factor block 
B)  random factor 
C)  completely randomized 
D)  randomized treatment

Question 4

In an analysis of variance problem if SST = 120 and SSTR = 90, then SSE is

Accepted Answer

A)  210. 
B)  30. 
C)  80. 
D)  120. 
A)  210. 
B)  30. 
C)  80. 
D)  120.

Question 5

Consider the following ANOVA table. ​   ​
The mean square due to treatments equals

Accepted Answer

A)  288. 
B)  518.4. 
C)  1200. 
D)  8294.4. 
A)  288. 
B)  518.4. 
C)  1200. 
D)  8294.4.

Question 6

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 mean square due to error (MSE) is

Accepted Answer

A)  75. 
B)  8.3. 
C)  200. 
D)  500. 
A)  75. 
B)  8.3. 
C)  200. 
D)  500.

Question 7

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 for this ANOVA problem is

Accepted Answer

A)  μ1 = μ2. 
B)  μ1 = μ2 = μ3. 
C)  μ1 = μ2 = μ3 = μ4. 
D)  μ1 = μ2 = ... = μ12. 
A)  μ1 = μ2. 
B)  μ1 = μ2 = μ3. 
C)  μ1 = μ2 = μ3 = μ4. 
D)  μ1 = μ2 = ... = μ12.

Question 8

Part of an ANOVA table is shown below.   ​ At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that

Accepted Answer

A)  all means are equal. 
B)  some means may be equal. 
C)  not all means are equal. 
D)  some means will never be equal. 
A)  all means are equal. 
B)  some means may be equal. 
C)  not all means are equal. 
D)  some means will never be equal.

Question 9

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 10

If we are testing for the equality of three population means, we should use the​

Accepted Answer

A)  ​test statistic t. 
B)  ​test statistic z. 
C)  ​test statistic F. 
D)  ​test statistic χ2. 
A)  ​test statistic t. 
B)  ​test statistic z. 
C)  ​test statistic F. 
D)  ​test statistic χ2.

Question 11

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided. ​
SSTR = 300 (Sum of Squares Due to Treatments)
SST = 800 (Total Sum of Squares)
​
If we want to determine whether or not the means of the five populations are equal, the p-value is

Accepted Answer

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

Question 12

Consider the following ANOVA table. ​   ​
The null hypothesis is to be tested at the 1% level of significance. The p-value is

Accepted Answer

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

Question 13

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

Accepted Answer

A)  22. 
B)  4. 
C)  5. 
D)  18. 
A)  22. 
B)  4. 
C)  5. 
D)  18.

Question 14

The test scores for selected samples of sociology students who took the course from three different instructors are shown below.   ​
At α = .05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches.

Accepted Answer

@#IMG-DLM& ​
F = 1.56 < 3.89;

Question 15

Random samples of employees from three different departments of MNM Corporation showed the following yearly incomes (in $1000).   ​
At α = .05, test to determine if there is a significant difference among the average incomes of the employees from the three departments. Use both the critical and p-value approaches.

Accepted Answer

The answer of Random samples of employees from three different...

Question 16

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

Accepted Answer

A)  .11. 
B)  9.04. 
C)  3.75. 
D)  15. 
A)  .11. 
B)  9.04. 
C)  3.75. 
D)  15.

Question 17

The critical F value with 6 numerator and 40 denominator degrees of freedom at α = .05 is

Accepted Answer

A)  3.77. 
B)  2.25. 
C)  2.34. 
D)  1.96. 
A)  3.77. 
B)  2.25. 
C)  2.34. 
D)  1.96.

Question 18

Consider the following information. ​   ​
If n = 5, the mean square due to error (MSE) equals

Accepted Answer

A)  400. 
B)  500. 
C)  1687.5. 
D)  2250. 
A)  400. 
B)  500. 
C)  1687.5. 
D)  2250.

Question 19

The heating bills for a selected sample of houses in a city using various forms of heating are given below (values are in dollars).   ​
At α = .05, test to see if there is a significant difference among the average bills of all the homes (in a city) using three forms of heating. Use both the critical and p-value approaches.

Accepted Answer

@#IMG-DLM& ​
F = 6.77 > 3.89;

Question 20

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;

The number of times each experimental condition is observed in a factorial design is known as

An experimental design where the experimental units are randomly assigned to the treatments is known as _____ design.

In an analysis of variance problem if SST = 120 and SSTR = 90, then SSE is

Consider the following ANOVA table. The mean square due to treatments equals

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 for this ANOVA problem is

Part of an ANOVA table is shown below. At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that

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

If we are testing for the equality of three population means, we should use the

Consider the following ANOVA table. The null hypothesis is to be tested at the 1% level of significance. The p-value is

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

The test scores for selected samples of sociology students who took the course from three different instructors are shown below. At α = .05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches.

The critical F value with 6 numerator and 40 denominator degrees of freedom at α = .05 is

Consider the following information. If n = 5, the mean square due to error (MSE) equals

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

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Exam 13: Experimental Design and Analysis of Variance

The number of times each experimental condition is observed in a factorial design is known as

An experimental design where the experimental units are randomly assigned to the treatments is known as _____ design.

In an analysis of variance problem if SST = 120 and SSTR = 90, then SSE is

Consider the following ANOVA table. ​ ​ The mean square due to treatments equals

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 for this ANOVA problem is

Part of an ANOVA table is shown below. ​ At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that

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

If we are testing for the equality of three population means, we should use the​

Consider the following ANOVA table. ​ ​ The null hypothesis is to be tested at the 1% level of significance. The p-value is

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

The test scores for selected samples of sociology students who took the course from three different instructors are shown below. ​ At α = .05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches.

The critical F value with 6 numerator and 40 denominator degrees of freedom at α = .05 is

Consider the following information. ​ ​ If n = 5, the mean square due to error (MSE) equals

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Consider the following ANOVA table. The mean square due to treatments equals

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 for this ANOVA problem is

Part of an ANOVA table is shown below. At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that

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

If we are testing for the equality of three population means, we should use the

Consider the following ANOVA table. The null hypothesis is to be tested at the 1% level of significance. The p-value is

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

The test scores for selected samples of sociology students who took the course from three different instructors are shown below. At α = .05, test to see if there is a significant difference among the averages of the three groups. Use both the critical value and p-value approaches.

Consider the following information. If n = 5, the mean square due to error (MSE) equals