Data from a randomized block design are shown in the following table. $\begin{array}{c} \quad\quad\quad\text { Treatment Levels }\\ \begin{array}{l} \\ \text {Block 1}\\ \text {Block 2}\\ \text {Block3} \end{array} \begin{array}{l} 1 \\ 8 \\ 6 \\ 7 \end{array} \begin{array}{l} 2 \\ 5 \\ 6 \\ 8 \end{array} \begin{array}{c} 3 \\ 10 \\ 9 \\ 8 \end{array} \begin{array}{r} 4\\ 7\\ 5\\ 9 \end{array} \end{array}$ The Treatment Sum of Squares (SSB)is ________.

A) 4.67 B) 12 C) 2.33 D) 28.67 E) 11 A) 4.67 B) 12 C) 2.33 D) 28.67 E) 11

For the following ANOVA table, the MS Error value is ___________. \[\begin{array} { | c | c | c | c | c | } \hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \text { MS } & F \\ \hline \text { Treatment } & & 4 & & \\ \hline \text { Error } & 360 & & & \\ \hline \text { Total } & 440 & 16 & & \\ \hline \end{array}\]

A) 4,320 B) 372 C) 348 D) 30 E) 4 A) 4,320 B) 372 C) 348 D) 30 E) 4

Data from a randomized block design are shown in the following table. $\begin{array}{c} \quad\quad\quad\text { Treatment Levels }\\ \begin{array}{l} \\ \text {Block 1}\\ \text {Block 2}\\ \text {Block3} \end{array} \begin{array}{l} 1 \\ 8 \\ 6 \\ 7 \end{array} \begin{array}{l} 2 \\ 5 \\ 6 \\ 8 \end{array} \begin{array}{c} 3 \\ 10 \\ 9 \\ 8 \end{array} \begin{array}{r} 4\\ 7\\ 5\\ 9 \end{array} \end{array}$ Using $\alpha$ = 0.05, the appropriate decision for the treatments is ________.

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

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$= 0.05 is ______. \[\begin{array} { | c | c | c | c | c | } \hline \text { Source of Variation } & \text { SS } & \text { df } & \text { MS } & F \\ \hline \text { Treatment } & 36.17 & 2 & 18.08 & 5.66 \\ \hline \text { Error } & 28.75 & 9 & 3.19 & \\ \hline \text { Total } & 64.92 & 11 & & \\ \hline \end{array}\]

A) 1.86 B) 3.94 C) 3.19 D) 1.645 E) 3.52 A) 1.86 B) 3.94 C) 3.19 D) 1.645 E) 3.52

For the following ANOVA table, the dfTreatment value is ___________. \[\begin{array} { | c | c | c | c | c | } \hline \text { Source of Variation } & \text { SS } & \text { df } & \text { MS } & F \\ \hline \text { Treatrnent } & 150 & & & \\ \hline \text { Error } & 40 & 20 & & \\ \hline \text { Total } & & 23 & & \\ \hline \end{array}\]

A) 3 B) 43 C) 1.15 D) 460 E) 150 A) 3 B) 43 C) 1.15 D) 460 E) 150

Exam 11: Analysis of Variance and Design of Experiments

Cindy Ho, VP of Finance at Discrete Components, Inc.(DCI), theorizes that the discount rate 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%).Cindy wants to control for the size of the customer but not to test for it as the main variable, so 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.In Cindy's experiment "total asset size of credit customer" is ________.

(Multiple Choice)

5.0/5

(31)

Question 21

Data from a randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 The Treatment Sum of Squares (SSB)is ________.

(Multiple Choice)

4.7/5

(23)

Question 22

The head of the math department at a local community college is interested in conducting an experiment to determine effective teaching strategies for improving student math comprehension and math literacy.In particular, she is interested in a new pedagogical model called a "flipped classroom," in which the typical lecture and homework elements of the course are reversed.Short video lectures are viewed by students at home before the class session, while in-class time is devoted to exercises, projects, or discussions.For this purpose, the math head will have half of the sections of calculus II this coming semester be taught in the traditional setting, while the other half will use the flipped classroom model.In this experiment, the dependent variable is: ______.

(Multiple Choice)

4.9/5

(30)

Question 23

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene)and randomly assigns six hospital rooms to each painting.Analysis of Kathleen's data yielded the following ANOVA table. Source of Variation SS df MS F Treatment 33476.19 2 16738.1 9.457912 Error 26546.18 15 1769.745 Total 60022.37 17 Using $\alpha$ = 0.05, the appropriate decision is _____________.

(Multiple Choice)

4.7/5

(31)

Question 24

BigShots, Inc.is a specialty e-tailer that operates 87 catalog websites on the Internet.Kevin Conn, Sales Director, feels that the style (color 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 catalog websites to each design style.Kevin's null hypothesis is _____________.

(Multiple Choice)

4.9/5

(39)

Question 25

In a randomized complete block design the conclusion might be that blocking is not necessary.

(True/False)

4.9/5

(40)

Question 26

Cindy Ho, VP of Finance at Discrete 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.In Cindy's experiment "average collection period" is ________.

(Multiple Choice)

5.0/5

(41)

Question 27

Cindy Ho, VP of Finance at Discrete Components, Inc.(DCI), theorizes that the discount rate 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 ______.

(Multiple Choice)

4.8/5

(33)

Question 28

Experiments designed so that two or more treatments (independent variables)are explored simultaneously are called ______.

(Multiple Choice)

4.8/5

(42)

Question 29

For the following ANOVA table, the MS Error value is ___________. Source of Variation SS MS F Treatment 4 Error 360 Total 440 16

(Multiple Choice)

4.9/5

(37)

Question 30

BigShots, Inc.is a specialty e-tailer that operates 87 catalog websites on the Internet.Kevin Conn, Sales Director, feels that the style (color 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 catalog websites to each design style.Kevin's experimental design is a ________.

(Multiple Choice)

4.7/5

(36)

Question 31

Which of the following factors would be considered a classification variable?

(Multiple Choice)

4.8/5

(33)

Question 32

Cindy Ho, VP of Finance at Discrete Components, Inc.(DCI), theorizes that the discount rate 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.In Cindy's experiment "sales discount rate" is ________.

(Multiple Choice)

4.9/5

(37)

Question 33

Data from a randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 Using $\alpha$ = 0.05, the appropriate decision for the treatments is ________.

(Multiple Choice)

4.8/5

(41)

Question 34

In a two-way ANOVA test, three sets of hypotheses are tested simultaneously.

(True/False)

4.9/5

(31)

Question 35

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$ = 0.05 is ______. Source of Variation SS df MS F Treatment 36.17 2 18.08 5.66 Error 28.75 9 3.19 Total 64.92 11

(Multiple Choice)

4.9/5

(27)

Question 36

While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis 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 _____________.

(Multiple Choice)

4.8/5

(36)

Question 37

For the following ANOVA table, the df_Treatment value is ___________. Source of Variation SS df MS F Treatrnent 150 Error 40 20 Total 23

(Multiple Choice)

4.9/5

(31)

Question 38

Cindy Ho, VP of Finance at Discrete Components, Inc.(DCI), theorizes that the discount rate 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. Source of Variation SS df MS F Treatrnent 64.91667 3 21.63889 8.752809 Block 10.5 2 5.25 2.123596 Erer 14.83333 6 2.472222 Total 90.25 11 Using $\alpha$ = 0.05, the appropriate decision for block effects is ________.

(Multiple Choice)

4.8/5

(39)

Question 39

Medical Wonders is a specialized interior design company focused on healing artwork.The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying in a hospital, as measured by reduced length of stay.Her current client is a children's cancer hospital.Kathleen is interested in determining the effect of three different pieces of healing artwork on children.She chooses three paintings (a horse photo, a bright abstract, and a muted beach scene)and randomly assigns six hospital rooms to each painting.Analysis of Kathleen's data yielded the following ANOVA table. Source of Variation SS df MS F Treatment 33476.19 2 16738.1 9.457912 Error 26546.18 15 1769.745 Total 60022.37 17 Using $\alpha$ = 0.05, the observed F value is _____________.

(Multiple Choice)

4.8/5

(33)

Question 40

Data from a randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 The Treatment Sum of Squares (SSB)is ________.

In a randomized complete block design the conclusion might be that blocking is not necessary.

Experiments designed so that two or more treatments (independent variables)are explored simultaneously are called ______.

For the following ANOVA table, the MS Error value is ___________. Source of Variation SS MS F Treatment 4 Error 360 Total 440 16

Which of the following factors would be considered a classification variable?

Data from a randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 Using $\alpha$ = 0.05, the appropriate decision for the treatments is ________.

In a two-way ANOVA test, three sets of hypotheses are tested simultaneously.

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$ = 0.05 is ______. Source of Variation SS df MS F Treatment 36.17 2 18.08 5.66 Error 28.75 9 3.19 Total 64.92 11

For the following ANOVA table, the df_Treatment value is ___________. Source of Variation SS df MS F Treatrnent 150 Error 40 20 Total 23

Introduction to Statistics and Business Analytics

Visualizing Data With 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

Data from a randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 The Treatment Sum of Squares (SSB)is ________.

In a randomized complete block design the conclusion might be that blocking is not necessary.

Experiments designed so that two or more treatments (independent variables)are explored simultaneously are called ______.

For the following ANOVA table, the MS Error value is ___________. Source of Variation SS MS F Treatment 4 Error 360 Total 440 16

Which of the following factors would be considered a classification variable?

Data from a randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 Using α\alphaα = 0.05, the appropriate decision for the treatments is ________.

In a two-way ANOVA test, three sets of hypotheses are tested simultaneously.

For the following ANOVA table, the HSD value, assuming equal sample sizes and using α\alphaα = 0.05 is ______. Source of Variation SS df MS F Treatment 36.17 2 18.08 5.66 Error 28.75 9 3.19 Total 64.92 11

For the following ANOVA table, the dfTreatment value is ___________. Source of Variation SS df MS F Treatrnent 150 Error 40 20 Total 23

Introduction to Statistics and Business Analytics

Visualizing Data With 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 randomized block design are shown in the following table. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 Using $\alpha$ = 0.05, the appropriate decision for the treatments is ________.

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$ = 0.05 is ______. Source of Variation SS df MS F Treatment 36.17 2 18.08 5.66 Error 28.75 9 3.19 Total 64.92 11

For the following ANOVA table, the df_Treatment value is ___________. Source of Variation SS df MS F Treatrnent 150 Error 40 20 Total 23