Question 1

In an experimental design, classification variables are independent variables.

Accepted Answer

A) True 
 B)False

Question 2

As director of the employee wellness and productivity program in your company, you are interested in comparing the effects of strength training, aerobic training, and yoga on decreasing rates of injury and absenteeism.The company has 18 divisions with roughly the same number of employees, and you randomly assign 6 divisions to participate in strength training, 6 to aerobic training, and 6 to yoga.Analysis of the data yielded the following ANOVA table. $$\begin{array} { | l | r | r | r | r | } 
\hline \text { Source of Variation } & { \text { SS } } &  { \text { df } } & { \text { MS } } & { \text { F } } \
\hline \text { Treatment } & 33476.19 & 2 & 16738.1 & 9.457912 \
\hline \text { Error } & 26546.18 & 15 & 1769.745 & \
\hline \text { Total } & 60022.37 & 17 & & \
\hline
\end{array}$$ Using $\alpha$ = 0.05, the observed F value is ______.

Accepted Answer

A) 60022.37 
B) 16738.1 
C) 1769.745 
D) 9.457912 
E) 18 
A) 60022.37 
B) 16738.1 
C) 1769.745 
D) 9.457912 
E) 18

Question 3

An experimental design where two or more treatments are considered simultaneously is called a factorial design.

Accepted Answer

A) True 
 B)False

Question 4

Which of the following would be an appropriate way for a researcher to use temperature as a classification variable?

Accepted Answer

A) Increasing the room temperature each hour 
B) Selecting individuals from different climates 
C) Decreasing the room temperature each hour 
D) Selecting individuals based on whether they are wearing coats 
E) Changing the density of people in a set area 
A) Increasing the room temperature each hour 
B) Selecting individuals from different climates 
C) Decreasing the room temperature each hour 
D) Selecting individuals based on whether they are wearing coats 
E) Changing the density of people in a set area

Question 5

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 6

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.Colin's experimental design is _____________.

Accepted Answer

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

Question 7

A manufacturer of heaters wants to determine if the height of the heater warms a room more quickly.Four different heights were studied.The shortest heater group had n=12 with an average time to heat the room of 15.9 minutes.The tallest heater group had n=10 with an average time to heat the room of 17.3 minutes.Using an alpha of 0.01, MSE of 2.88, and N=44, what would be the q obtained for this problem?

Accepted Answer

A) 4.80 
B) 3.74 
C) 4.70 
D) 4.60 
E) 3.70 
A) 4.80 
B) 3.74 
C) 4.70 
D) 4.60 
E) 3.70

Question 8

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 Error Sum of Squares (SSE)is ________.

Accepted Answer

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

Question 9

Data from a completely randomized design are shown in the following table. $$\begin{array}{l}
\text { Treatment Level }\
\begin{array} { | c | c | c | } 
\hline 1 & 2 & 3 \
\hline 27 & 26 & 27 \
\hline 26 & 22 & 29 \
\hline 23 & 21 & 27 \
\hline 24 & 23 & 26 \
\hline
\end{array}
\end{array}$$ For a one-way ANOVA, the Total Sum of Squares (SST)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 10

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.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 11

Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine the most effective advertisement strategy for increasing the number of reservations.The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard.Customers making reservations will be asked where they saw the advertisement.In this experiment, the independent variable is a ________________.

Accepted Answer

A) treatment variable 
B) classification variable 
C) experimental variable 
D) design variable 
E) research variable 
A) treatment variable 
B) classification variable 
C) experimental variable 
D) design variable 
E) research variable

Question 12

The Tukey-Kramer procedure is based on construction of confidence intervals for each pair of treatment means at a time.

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

A) 20 
B) 60 
C) 800 
D) 2 
E) 200 
A) 20 
B) 60 
C) 800 
D) 2 
E) 200

Question 14

An experimental design contains only independent variables.

Accepted Answer

A) True 
 B)False

Question 15

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.An analysis of Cindy's data produced the following ANOVA table. $$\begin{array} { | r | r | r | r | r | } 
\hline \text { Source of Variation } & \mathbf { S S } & \mathrm { df } & \mathrm { MS } & \text { F } \
\hline \text { Treatrnent } & 5.35 & \mathbf { 3 } & 1.783333 & \
\hline \text { Error } & 177.2 & 16 & 11.075 & \
\hline \text { Total } & 182.55 & 19 & & \
\hline
\end{array}$$ 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 16

A manufacturer of heaters wants to determine if the height of the heater warms a room more quickly.Four different heights were studied.The shortest heater group had n=12 with an average time to heat the room of 15.9 minutes.The tallest heater group had n=10 with an average time to heat the room of 17.3 minutes.Using an alpha of 0.01, MSE of 2.88, and N=44, what would be the result of the Tukey-Kramer formula?

Accepted Answer

A) 4.70 
B) 2.01 
C) 1.24 
D) 1.40 
E) 2.41 
A) 4.70 
B) 2.01 
C) 1.24 
D) 1.40 
E) 2.41

Question 17

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.Kathleen's null hypothesis is _____________.

Accepted Answer

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

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

If 5 groups are tested two at a time, the total number of paired comparisons is 9.

Accepted Answer

A) True 
 B)False

Question 20

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 independent variable is: ______.

Accepted Answer

A) the instructor selected for each section 
B) the community college 
C) the math comprehension and literacy attained by students 
D) the pedagogical model used 
E) the number of students in each section 
A) the instructor selected for each section 
B) the community college 
C) the math comprehension and literacy attained by students 
D) the pedagogical model used 
E) the number of students in each section

In an experimental design, classification variables are independent variables.

An experimental design where two or more treatments are considered simultaneously is called a factorial design.

Which of the following would be an appropriate way for a researcher to use temperature as a classification variable?

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. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 The Error Sum of Squares (SSE)is ________.

Data from a completely randomized design are shown in the following table. Treatment Level 1 2 3 27 26 27 26 22 29 23 21 27 24 23 26 For a one-way ANOVA, the Total Sum of Squares (SST)is ________.

The Tukey-Kramer procedure is based on construction of confidence intervals for each pair of treatment means at a time.

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

An experimental design contains only independent variables.

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

If 5 groups are tested two at a time, the total number of paired comparisons is 9.

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

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Exam 11: Analysis of Variance and Design of Experiments

In an experimental design, classification variables are independent variables.

An experimental design where two or more treatments are considered simultaneously is called a factorial design.

Which of the following would be an appropriate way for a researcher to use temperature as a classification variable?

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. Treatment Levels Block 1 Block 2 Block3 1 8 6 7 2 5 6 8 3 10 9 8 4 7 5 9 The Error Sum of Squares (SSE)is ________.

Data from a completely randomized design are shown in the following table. Treatment Level 1 2 3 27 26 27 26 22 29 23 21 27 24 23 26 For a one-way ANOVA, the Total Sum of Squares (SST)is ________.

The Tukey-Kramer procedure is based on construction of confidence intervals for each pair of treatment means at a time.

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

An experimental design contains only independent variables.

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

If 5 groups are tested two at a time, the total number of paired comparisons is 9.

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