Question 1

The statistical methods of analysis of variance assume that the populations are normally distributed.

Accepted Answer

A) True 
 B)False

Question 2

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%).First, she classified DCI's credit customers into three categories by total assets (small, medium, and large).Then, she randomly assigned four customers from each category to a sales discount rate.Cindy's null hypothesis is ___.

Accepted Answer

A) $\mu$ 1 $\neq$$\mu$ 2 $\neq$$\mu$ 3 $\neq$$\mu$ 4 
B) $\mu$ 1 $\ge$$\mu$ 2 $\ge$$\mu$ 3 $\ge$ $\mu$ 4 
C) $\mu$1=  $\mu$2=$\mu$3=$\mu$4 
D) $\mu$ 1 $\le$$\mu$ 2 $\le$$\mu$ 3 $\le$$\mu$ 4 
E) $\mu$ 1 $\le$$\mu$ 2 ≥ $\mu$ 3 $\le$$\mu$ 4 
A) $\mu$ 1 $\neq$$\mu$ 2 $\neq$$\mu$ 3 $\neq$$\mu$ 4 
B) $\mu$ 1 $\ge$$\mu$ 2 $\ge$$\mu$ 3 $\ge$ $\mu$ 4 
C) $\mu$1=  $\mu$2=$\mu$3=$\mu$4 
D) $\mu$ 1 $\le$$\mu$ 2 $\le$$\mu$ 3 $\le$$\mu$ 4 
E) $\mu$ 1 $\le$$\mu$ 2 ≥ $\mu$ 3 $\le$$\mu$ 4

Question 3

Data from a completely randomized design are shown in the following table:   For a one-way ANOVA using $\alpha$= 0.05, the critical F value is ___.

Accepted Answer

A) 3.86 
B) 3.59 
C) 19.38 
D) 4.26 
E) 6.8 
A) 3.86 
B) 3.59 
C) 19.38 
D) 4.26 
E) 6.8

Question 4

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.Analysis of Larson's data yielded the following ANOVA table:   Using $\alpha$ = 0.05, the critical F value is ___.

Accepted Answer

A) 3.57 
B) 19.43 
C) 3.68 
D) 19.45 
E) 2.85 
A) 3.57 
B) 19.43 
C) 3.68 
D) 19.45 
E) 2.85

Question 5

An experimental design contains only independent variables.

Accepted Answer

A) True 
 B)False

Question 6

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%)by randomly assigning five customers to each sales discount rate.An analysis of Cindy's data produced the following ANOVA table:   Using $\alpha$ = 0.01, the critical F value is ___.

Accepted Answer

A) 5.33 
B) 6.21 
C) 0.16 
D) 5.29 
E) 6.89 
A) 5.33 
B) 6.21 
C) 0.16 
D) 5.29 
E) 6.89

Question 7

While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators.The treatment levels were: (1)authoritarian, and participatory for supervisor's style, and (2)technical manuals, training films, and multimedia for training method.Three qualified applicants were randomly selected and assigned to each of the six cells.Analysis of Colin's data produced the following ANOVA table:   Using $\alpha$ = .05, the appropriate decision for "supervisor's style" effects is ___.

Accepted Answer

A) reject the null hypothesis $\mu$ 1 ==$\mu$2=$\mu$ 3 
B) do not reject the null hypothesis $\mu$ 1 == $\mu$2=$\mu$ 3 
C) reject the null hypothesis $\mu$ 1 =$\mu$ 2 
D) do not reject the null hypothesis $\mu$ 1 = $\mu$ 2 
E) do nothing 
A) reject the null hypothesis $\mu$ 1 ==$\mu$2=$\mu$ 3 
B) do not reject the null hypothesis $\mu$ 1 == $\mu$2=$\mu$ 3 
C) reject the null hypothesis $\mu$ 1 =$\mu$ 2 
D) do not reject the null hypothesis $\mu$ 1 = $\mu$ 2 
E) do nothing

Question 8

Data from a randomized block design are shown in the following table:   With $\alpha$= 0.05, the observed F value for the blocking effects null hypothesis is ___.

Accepted Answer

A) 5.31 
B) 0.09 
C) 15.67 
D) 2.92 
E) 1.89 
A) 5.31 
B) 0.09 
C) 15.67 
D) 2.92 
E) 1.89

Question 9

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%)by randomly assigning five customers to each sales discount rate.In Cindy's experiment, "sales discount rate" is ___.

Accepted Answer

A) the dependent variable 
B) a treatment variable 
C) a blocking variable 
D) a concomitant variable 
E) a constant 
A) the dependent variable 
B) a treatment variable 
C) a blocking variable 
D) a concomitant variable 
E) a constant

Question 10

Analysis of variance may be used to test the differences in the means of more than two independent populations.

Accepted Answer

A) True 
 B)False

Question 11

Data from a randomized block design are shown in the following table:   Using $\alpha$ = 0.05, the appropriate decision for the treatments is ___.

Accepted Answer

A) reject the null hypothesis $\mu$ 1 $\neq$$\mu$ 2 $\neq$$\mu$ 3 $\neq$$\mu$ 4 
B) reject the null hypothesis $\mu$ 1 =$\mu$2=$\mu$3=$\mu$ 4 
C) do not reject the null hypothesis $\mu$ 1 $\ge$ $\mu$ 2 $\ge$ $\mu$ 3 $\ge$ $\mu$ 4 
D) do not reject the null hypothesis $\mu$ 1 $\le$$\mu$ 2 $\le$$\mu$ 3 $\le$ $\mu$ 4 
E) do nothing 
A) reject the null hypothesis $\mu$ 1 $\neq$$\mu$ 2 $\neq$$\mu$ 3 $\neq$$\mu$ 4 
B) reject the null hypothesis $\mu$ 1 =$\mu$2=$\mu$3=$\mu$ 4 
C) do not reject the null hypothesis $\mu$ 1 $\ge$ $\mu$ 2 $\ge$ $\mu$ 3 $\ge$ $\mu$ 4 
D) do not reject the null hypothesis $\mu$ 1 $\le$$\mu$ 2 $\le$$\mu$ 3 $\le$ $\mu$ 4 
E) do nothing

Question 12

In experimental design, classification variables are independent variables.

Accepted Answer

A) True 
 B)False

Question 13

The following graph indicates a ___.

Accepted Answer

A) 2* 4 factorial design with interaction 
B) 4 * 2 factorial design with no interaction 
C) 4 * 2 factorial design with interaction 
D) 2 * 4 factorial design with no interaction 
E) randomized block design 
A) 2* 4 factorial design with interaction 
B) 4 * 2 factorial design with no interaction 
C) 4 * 2 factorial design with interaction 
D) 2 * 4 factorial design with no interaction 
E) randomized block design

Question 14

Data from a completely randomized design are shown in the following table:   For a one-way ANOVA, the Between Sum of Squares (SSC)is ___.

Accepted Answer

A) 36.17 
B) 28.75 
C) 64.92 
D) 18.03 
E) 28.04 
A) 36.17 
B) 28.75 
C) 64.92 
D) 18.03 
E) 28.04

Question 15

The following graph indicates a ___.

Accepted Answer

A) 2 * 3 factorial design with interaction 
B) 2 * 4 factorial design with interaction 
C) 4 * 2 factorial design with interaction 
D) 4 * 2 factorial design with no interaction 
E) completely randomized design 
A) 2 * 3 factorial design with interaction 
B) 2 * 4 factorial design with interaction 
C) 4 * 2 factorial design with interaction 
D) 4 * 2 factorial design with no interaction 
E) completely randomized design

Question 16

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.Larson's experimental design is a ___.

Accepted Answer

A) factorial design 
B) random block design 
C) completely randomized design 
D) normalized block design 
E) partially randomized design 
A) factorial design 
B) random block design 
C) completely randomized design 
D) normalized block design 
E) partially randomized design

Question 17

Cindy Smith, VP of Finance at Digital Components, Inc.(DCI), theorizes that the discount level offered to credit customers affects the average collection period on credit sales.Accordingly, she has designed an experiment to test her theory using four sales discount rates (0%, 2%, 4%, and 6%).First, she classified DCI's credit customers into three categories by total assets (small, medium, and large).Then, she randomly assigned four customers from each category to a sales discount rate.An analysis of Cindy's data yielded the following ANOVA table:   Using $\alpha$ = 0.05, the appropriate decision for treatment effects is ___.

Accepted Answer

A) reject the null hypothesis $\mu$1=$\mu$2=$\mu$3=$\mu$4 
B) reject the null hypothesis $\mu$ 1 $\neq$$\mu$ 2 $\neq$$\mu$ 3 $\neq$$\mu$ 4 
C) do not reject the null hypothesis $\mu$ 1 $\ge$ $\mu$ 2$\ge$ $\mu$ 3 $\ge$ $\mu$ 4 
D) do not reject the null hypothesis $\mu$ 1 $\le$ $\mu$ 2 $\le$ $\mu$ 3 $\le$ $\mu$ 4 
E) do nothing 
A) reject the null hypothesis $\mu$1=$\mu$2=$\mu$3=$\mu$4 
B) reject the null hypothesis $\mu$ 1 $\neq$$\mu$ 2 $\neq$$\mu$ 3 $\neq$$\mu$ 4 
C) do not reject the null hypothesis $\mu$ 1 $\ge$ $\mu$ 2$\ge$ $\mu$ 3 $\ge$ $\mu$ 4 
D) do not reject the null hypothesis $\mu$ 1 $\le$ $\mu$ 2 $\le$ $\mu$ 3 $\le$ $\mu$ 4 
E) do nothing

Question 18

While reviewing staffing plans for a new pilot plant, Colin Posein, VP of Operations at Balzac Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators.The treatment levels were: (1)authoritarian, and participatory for supervisor's style, and (2)technical manuals, training films, and multimedia for training method.Three qualified applicants were randomly selected and assigned to each of the six cells.In Colin's experiment, "supervisor's style" is ___.

Accepted Answer

A) the dependent variable 
B) a blocking variable 
C) a treatment variable 
D) a surrogate variable 
E) a constant 
A) the dependent variable 
B) a blocking variable 
C) a treatment variable 
D) a surrogate variable 
E) a constant

Question 19

Suppose a researcher sets up a design in which there are five different treatments and a total of 32 measurements in the study.For alpha = .01, the critical table F value is ___.

Accepted Answer

A) 3.75 
B) 3.78 
C) 4.07 
D) 4.11 
E) 4.91 
A) 3.75 
B) 3.78 
C) 4.07 
D) 4.11 
E) 4.91

Question 20

ShopEasy Inc.is a specialty e-tailer that operates 87 catalogue websites on the Internet.Larson Brown, Sales Director, feels that the style (colour scheme, graphics, fonts, etc.)of a website may affect its sales.He chooses three levels of design style (neon, old world and sophisticated)and randomly assigns six catalogue websites to each design style.In Larson's experiment "style" is ___.

Accepted Answer

A) the dependent variable 
B) a treatment variable 
C) a concomitant variable 
D) a blocking variable 
E) a response variable 
A) the dependent variable 
B) a treatment variable 
C) a concomitant variable 
D) a blocking variable 
E) a response variable

The statistical methods of analysis of variance assume that the populations are normally distributed.

Data from a completely randomized design are shown in the following table: $Data from a completely randomized design are shown in the following table: For a one-way ANOVA using \alpha = 0.05, the critical F value is _.$ For a one-way ANOVA using $\alpha$ = 0.05, the critical F value is _.

An experimental design contains only independent variables.

Analysis of variance may be used to test the differences in the means of more than two independent populations.

Data from a randomized block design are shown in the following table: $Data from a randomized block design are shown in the following table: Using \alpha = 0.05, the appropriate decision for the treatments is _.$ Using $\alpha$ = 0.05, the appropriate decision for the treatments is _.

In experimental design, classification variables are independent variables.

The following graph indicates a ___.

Data from a completely randomized design are shown in the following table: For a one-way ANOVA, the Between Sum of Squares (SSC)is ___.

The following graph indicates a ___.

Suppose a researcher sets up a design in which there are five different treatments and a total of 32 measurements in the study.For alpha = .01, the critical table F value is ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 11: Analysis of Variance and Design of Experiments

The statistical methods of analysis of variance assume that the populations are normally distributed.

Data from a completely randomized design are shown in the following table: For a one-way ANOVA using α\alphaα = 0.05, the critical F value is ___.

An experimental design contains only independent variables.

Data from a randomized block design are shown in the following table: With α\alphaα = 0.05, the observed F value for the blocking effects null hypothesis is ___.

Analysis of variance may be used to test the differences in the means of more than two independent populations.

Data from a randomized block design are shown in the following table: Using α\alphaα = 0.05, the appropriate decision for the treatments is ___.

In experimental design, classification variables are independent variables.

The following graph indicates a ___.

Data from a completely randomized design are shown in the following table: For a one-way ANOVA, the Between Sum of Squares (SSC)is ___.

The following graph indicates a ___.

Suppose a researcher sets up a design in which there are five different treatments and a total of 32 measurements in the study.For alpha = .01, the critical table F value is ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Data from a completely randomized design are shown in the following table: $Data from a completely randomized design are shown in the following table: For a one-way ANOVA using \alpha = 0.05, the critical F value is _.$ For a one-way ANOVA using $\alpha$ = 0.05, the critical F value is _.

Data from a randomized block design are shown in the following table: $Data from a randomized block design are shown in the following table: Using \alpha = 0.05, the appropriate decision for the treatments is _.$ Using $\alpha$ = 0.05, the appropriate decision for the treatments is _.