Question 1

Consider the following ANOVA table. ​   ​
The null hypothesis for this ANOVA problem is

Accepted Answer

A)  μ1 = μ2 = μ3 = μ4. 
B)  μ1 = μ2 = μ3 = μ4 = μ5. 
C)  μ1 = μ2 = μ3 = μ4 = μ5 = μ6. 
D)  μ1 = μ2 = ... = μ20. 
A)  μ1 = μ2 = μ3 = μ4. 
B)  μ1 = μ2 = μ3 = μ4 = μ5. 
C)  μ1 = μ2 = μ3 = μ4 = μ5 = μ6. 
D)  μ1 = μ2 = ... = μ20.

Question 2

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 3

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 null hypothesis

Accepted Answer

A)  should be rejected. 
B)  should not be rejected. 
C)  should be revised. 
D)  should not be tested. 
A)  should be rejected. 
B)  should not be rejected. 
C)  should be revised. 
D)  should not be tested.

Question 4

A completely randomized design is useful when the experimental units are

Accepted Answer

A)  homogeneous. 
B)  heterogeneous. 
C)  ​clustered. 
D)  stratified. 
A)  homogeneous. 
B)  heterogeneous. 
C)  ​clustered. 
D)  stratified.

Question 5

Individuals were randomly assigned to three different production processes. The hourly units of production for the three processes are shown below.   ​
Use the analysis of variance procedure with α = .05 to determine if there is a significant difference in the mean hourly units of production for the three types of production processes. Use both the critical and p-value approaches.

Accepted Answer

The answer of Individuals were randomly assigned to three different...

Question 6

In the analysis of variance procedure (ANOVA), "factor" refers to

Accepted Answer

A)  the dependent variable. 
B)  the independent variable. 
C)  different levels of a treatment. 
D)  the critical value of F. 
A)  the dependent variable. 
B)  the independent variable. 
C)  different levels of a treatment. 
D)  the critical value of F.

Question 7

In a completely randomized design involving four treatments, the following information is provided.   ​ The overall mean (the grand mean) for all treatments is

Accepted Answer

A)  40.0. 
B)  40.76. 
C)  39.25. 
D)  41.25. 
A)  40.0. 
B)  40.76. 
C)  39.25. 
D)  41.25.

Question 8

Consider the following information. ​
SSTR = 6750
H0: μ1 = μ2 = μ3 = μ4 = μ5
SSE = 8000
Ha: At least one mean is different
​
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 9

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 10

In testing for the equality of k population means, the number of treatments is​

Accepted Answer

A)  ​k. 
B)  ​k - 1. 
C)  ​nT. 
D)  ​nT - k. 
A)  ​k. 
B)  ​k - 1. 
C)  ​nT. 
D)  ​nT - k.

Question 11

The critical F value with 8 numerator and 29 denominator degrees of freedom at α = .05 is

Accepted Answer

A)  2.28. 
B)  3.20. 
C)  3.33. 
D)  3.64. 
A)  2.28. 
B)  3.20. 
C)  3.33. 
D)  3.64.

Question 12

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)
​
If, at a 5% level of significance, we want to determine whether or not the means of the five populations are equal, the critical value of F is

Accepted Answer

A)  2.53. 
B)  19.48. 
C)  4.98. 
D)  5.69. 
A)  2.53. 
B)  19.48. 
C)  4.98. 
D)  5.69.

Question 13

The independent variable of interest in an ANOVA procedure is called a

Accepted Answer

A)  partition. 
B)  treatment. 
C)  response. 
D)  factor. 
A)  partition. 
B)  treatment. 
C)  response. 
D)  factor.

Question 14

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 sum of squares due to error (SSE) is

Accepted Answer

A)  1100. 
B)  500. 
C)  300. 
D)  1600. 
A)  1100. 
B)  500. 
C)  300. 
D)  1600.

Question 15

An experimental design that permits simultaneous statistical conclusions about two or more factors is a

Accepted Answer

A)  randomized block design. 
B)  factorial design. 
C)  completely randomized design. 
D)  multiple block design. 
A)  randomized block design. 
B)  factorial design. 
C)  completely randomized design. 
D)  multiple block design.

Question 16

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.

Consider the following ANOVA table. The null hypothesis for this ANOVA problem is

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

A completely randomized design is useful when the experimental units are

In the analysis of variance procedure (ANOVA), "factor" refers to

In a completely randomized design involving four treatments, the following information is provided. The overall mean (the grand mean) for all treatments is

Consider the following information. SSTR = 6750 H₀: μ₁ =μ₂ =μ₃ =μ₄= μ₅ SSE = 8000 H_a: At least one mean is different The test statistic to test the null hypothesis equals

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

In testing for the equality of k population means, the number of treatments is

The critical F value with 8 numerator and 29 denominator degrees of freedom at α = .05 is

The independent variable of interest in an ANOVA procedure is called a

An experimental design that permits simultaneous statistical conclusions about two or more factors is a

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

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Exam 13: Experimental Design and Analysis of Variance

Consider the following ANOVA table. ​ ​ The null hypothesis for this ANOVA problem is

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

A completely randomized design is useful when the experimental units are

In the analysis of variance procedure (ANOVA), "factor" refers to

In a completely randomized design involving four treatments, the following information is provided. ​ The overall mean (the grand mean) for all treatments is

Consider the following information. ​ SSTR = 6750 H0: μ1 = μ2 = μ3 = μ4 = μ5 SSE = 8000 Ha: At least one mean is different ​ The test statistic to test the null hypothesis equals

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

In testing for the equality of k population means, the number of treatments is​

The critical F value with 8 numerator and 29 denominator degrees of freedom at α = .05 is

The independent variable of interest in an ANOVA procedure is called a

An experimental design that permits simultaneous statistical conclusions about two or more factors is a

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

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 null hypothesis for this ANOVA problem is

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

In a completely randomized design involving four treatments, the following information is provided. The overall mean (the grand mean) for all treatments is

Consider the following information. SSTR = 6750 H₀: μ₁ =μ₂ =μ₃ =μ₄= μ₅ SSE = 8000 H_a: At least one mean is different The test statistic to test the null hypothesis equals

In testing for the equality of k population means, the number of treatments is