Question 1

Posteriori pairwise comparisons are only made in situations where ______________.

Accepted Answer

A) there was a significant F value and it is after the experiment 
B) there was not a significant F value and it is after the experiment 
C) there was a significant F value and it is before the experiment 
D) the analyst wants to compare any two samples after the experiment 
E) there was not a significant F value and it is before the experiment 
A) there was a significant F value and it is after the experiment 
B) there was not a significant F value and it is after the experiment 
C) there was a significant F value and it is before the experiment 
D) the analyst wants to compare any two samples after the experiment 
E) there was not a significant F value and it is before the experiment

Question 2

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

Accepted Answer

A) 20 
B) 200 
C) 76 
D) 84 
E) 360 
A) 20 
B) 200 
C) 76 
D) 84 
E) 360

Question 3

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 appropriate decision is ______.

Accepted Answer

A) reject the null hypothesis$\mu$ 1 $\neq$$\mu$  2 $\neq$$\mu$ 3 
B) do not reject the null hypothesis $\mu$ 1 $\ge$$\mu$ 2$\ge$ $\mu$ 3 
C) reject the null hypothesis $\mu$ 1 =$\mu$ 2= $\mu$ 3 
D) do not reject the null hypothesis $\mu$ 1 $\le$  $\mu$ 2 $\le$  $\mu$ 3 
E) inconclusive 
A) reject the null hypothesis$\mu$ 1 $\neq$$\mu$  2 $\neq$$\mu$ 3 
B) do not reject the null hypothesis $\mu$ 1 $\ge$$\mu$ 2$\ge$ $\mu$ 3 
C) reject the null hypothesis $\mu$ 1 =$\mu$ 2= $\mu$ 3 
D) do not reject the null hypothesis $\mu$ 1 $\le$  $\mu$ 2 $\le$  $\mu$ 3 
E) inconclusive

Question 4

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

Accepted Answer

A) 150 
B) 50 
C) 450 
D) 3.49 
E) 40 
A) 150 
B) 50 
C) 450 
D) 3.49 
E) 40

Question 5

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.Analysis of Kevin's data yielded the following ANOVA table. $$\begin{array} { | l | r | r | l | l | } 
\hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \mathrm { MS } & F \
\hline \text { Between Groups } & 68102.33 & 2 & 34051.17 & 17.50545 \
\hline \text { Within Groups } & 29177.67 & 15 & 1945.178 & \
\hline \text { Total } & 97280 & 17 & & \
\hline
\end{array}$$ Using $\alpha$ = 0.05, the appropriate decision is _____________.

Accepted Answer

A) inconclusive 
B) reject the null hypothesis $\mu$ 1 $\neq$ $\mu$ 2 $\neq$$\mu$ 3 
C) reject the null hypothesis $\mu$ 1 =$\mu$ 2 = $\mu$ 3 
D) do not reject the null hypothesis$\mu$ 1 $\ge$ $\mu$ 2 $\ge$ $\mu$ 3 
E) do not reject the null hypothesis $\mu$ 1 $\le$  $\mu$ 2$\le$ $\mu$ 3 
A) inconclusive 
B) reject the null hypothesis $\mu$ 1 $\neq$ $\mu$ 2 $\neq$$\mu$ 3 
C) reject the null hypothesis $\mu$ 1 =$\mu$ 2 = $\mu$ 3 
D) do not reject the null hypothesis$\mu$ 1 $\ge$ $\mu$ 2 $\ge$ $\mu$ 3 
E) do not reject the null hypothesis $\mu$ 1 $\le$  $\mu$ 2$\le$ $\mu$ 3

Question 6

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, "average collection period" 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 7

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 critical F value for the blocking effects null hypothesis is ___.

Accepted Answer

A) 3.59 
B) 4.76 
C) 3.98 
D) 5.14 
E) 6.54 
A) 3.59 
B) 4.76 
C) 3.98 
D) 5.14 
E) 6.54

Question 8

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.In Kevin's experiment "sales at a website" is _______.

Accepted Answer

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

Question 9

In analysis of variance tests an F distribution forms the basis for making the decisions.

Accepted Answer

A) True 
 B)False

Question 10

The subcategories of independent variables are often called __________.

Accepted Answer

A) Levels 
B) Dependents 
C) ANOVA 
D) Experiments 
E) Climates 
A) Levels 
B) Dependents 
C) ANOVA 
D) Experiments 
E) Climates

Question 11

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 9 divisions with roughly the same number of employees, and you randomly assign 3 divisions to participate in strength training, 3 to aerobic training, and 3 to yoga.Your alternative hypothesis is ______.

Accepted Answer

A) $\mu$ 1 $\neq$ $\mu$ 2 $\neq$ $\mu$ 3 
B) $\mu$ 1 $\ge$ $\mu$ 2 $\ge$$\mu$ 3 
C) $\mu$ 1$\le$ $\mu$ 2 $\le$ $\mu$ 3 
D) $\mu$ 1= $\mu$ 2 = $\mu$ 3 
E) at least one of the means is different from the others 
A) $\mu$ 1 $\neq$ $\mu$ 2 $\neq$ $\mu$ 3 
B) $\mu$ 1 $\ge$ $\mu$ 2 $\ge$$\mu$ 3 
C) $\mu$ 1$\le$ $\mu$ 2 $\le$ $\mu$ 3 
D) $\mu$ 1= $\mu$ 2 = $\mu$ 3 
E) at least one of the means is different from the others

Question 12

A completely randomized design has been analyzed by using a one-way ANOVA.There are three treatment groups in the design, and each sample size is four.The mean for group 1 is 23.50 and for group 3 it is 27.50.MSE is 3.19.Using α=0.05 there is a significant difference between these two groups.

Accepted Answer

A) True 
 B)False

Question 13

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 ________________.

Accepted Answer

A) advertisement venue 
B) bed and breakfast establishment 
C) travel website 
D) number of reservations 
E) number of customer calls 
A) advertisement venue 
B) bed and breakfast establishment 
C) travel website 
D) number of reservations 
E) number of customer calls

Question 14

A pet trainer wants to test the effects of "treats" and "voice tone" on the speed with which dogs are trained to roll over.For "treats," the trainer used pieces of hot dogs, biscuits, and bacon flavored treats.For "voice tone," the trainer used sing-song, high pitched, and low pitched.Six dogs were randomly assigned to each of the nine cells and the analysis produced the following ANOVA table. $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \mathrm { Ms } & F \
\hline \text { Rows (treats) } & 3.5926 & 2 & 1.79296 & 0.27 \
\hline \text { Colurun (voice tone) } & 14.8148 & 2 & 7.40741 & 1.11 \
\hline \text { Irteraction } & 19.1852 & 4 & 4.79296 & 0.72 \
\hline
\end{array}$$ Using $\alpha$ = .05, the appropriate decision for "treats" effect is _____________.

Accepted Answer

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

Question 15

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish, roots and tubers, or nuts and oilseeds)and by level of protein intake (low, defined as less than 0.56 grams per kilogram of weight, or high).The researcher wants to test the relative efficacy of each protein source, controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose, she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then, the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).The researcher's experimental design is a ______.

Accepted Answer

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

Question 16

Pate's Pharmacy, Inc.operates a regional chain of 120 pharmacies.Each pharmacy's floor plan includes a greeting card department which is relatively isolated.Sandra Royo, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department.She chooses three levels of lighting (soft, medium, and bright)and randomly assigns six pharmacies to each lighting level.Analysis of Sandra's data yielded the following ANOVA table. $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Source of Variation } & \text { SS } & \text { df } & \text { MS } & F \
\hline \text { Treatment } & 3608.333 & 2 & 1804.167 & \
\hline \text { Errar } & 13591.67 & 15 & 906.1111 & \
\hline \text { Total } & 17200 & 17 & & \
\hline
\end{array}$$ Using $\alpha$ = 0.05, the appropriate decision is _____________.

Accepted Answer

A) do not reject the null hypothesis $\mu$ 1 $\neq$ $\mu$ 2$\neq$$\mu$ 3 
B) do not reject the null hypothesis $\mu$ 1 =$\mu$ 2 =$\mu$ 3 
C) reject the null hypothesis $\mu$ 1 $\ge$ $\mu$ 2$\ge$$\mu$  3 
D) reject the null hypothesis $\mu$ 1 $\le$  $\mu$ 2 $\le$  $\mu$ 3 
E) inclusive 
A) do not reject the null hypothesis $\mu$ 1 $\neq$ $\mu$ 2$\neq$$\mu$ 3 
B) do not reject the null hypothesis $\mu$ 1 =$\mu$ 2 =$\mu$ 3 
C) reject the null hypothesis $\mu$ 1 $\ge$ $\mu$ 2$\ge$$\mu$  3 
D) reject the null hypothesis $\mu$ 1 $\le$  $\mu$ 2 $\le$  $\mu$ 3 
E) inclusive

Question 17

The Tukey-Kramer procedure allows us to simultaneously examine all pairs of population means after the ANOVA test has been completed without increasing the true α level.

Accepted Answer

A) True 
 B)False

Question 18

For the following ANOVA table, the observed F 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) 0.5625 
B) 50 
C) 25 
D) 0.02 
E) 0.09 
A) 0.5625 
B) 50 
C) 25 
D) 0.02 
E) 0.09

Question 19

A medical researcher is interested in how weight gain in children from third-world countries is affected by the source of protein (fish, roots and tubers, or nuts and oilseeds)and by level of protein intake (low, defined as less than 0.56 grams per kilogram of weight, or high).The researcher wants to test the relative efficacy of each protein source, controlling for the level of protein intake but not testing it as the main variable of interest.For this purpose, she classifies a group of children in an impoverished village in a third-world country into either high or low protein intake.Then, the researcher randomly assigns 50 children from each category to a group where the children will receive food once a day that will emphasize one of the three protein sources.You can assume that the total level of protein intake is not affected (it's effects take a longer time to show and depend largely on the other meals the children have at home).In this experiment, the weight gain is ______.

Accepted Answer

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

Question 20

In an experimental design, a characteristic of the subjects that was present prior to the experiment and is not the result of the experimenter's manipulations or control is called a classification variable.

Accepted Answer

A) True 
 B)False

Posteriori pairwise comparisons are only made in situations where ______________.

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

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

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 critical F value for the blocking effects null hypothesis is ___.

In analysis of variance tests an F distribution forms the basis for making the decisions.

The subcategories of independent variables are often called __________.

A completely randomized design has been analyzed by using a one-way ANOVA.There are three treatment groups in the design, and each sample size is four.The mean for group 1 is 23.50 and for group 3 it is 27.50.MSE is 3.19.Using α=0.05 there is a significant difference between these two groups.

The Tukey-Kramer procedure allows us to simultaneously examine all pairs of population means after the ANOVA test has been completed without increasing the true α level.

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

In an experimental design, a characteristic of the subjects that was present prior to the experiment and is not the result of the experimenter's manipulations or control is called a classification variable.

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

Posteriori pairwise comparisons are only made in situations where ______________.

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

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

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 critical F value for the blocking effects null hypothesis is ___.

In analysis of variance tests an F distribution forms the basis for making the decisions.

The subcategories of independent variables are often called __________.

A completely randomized design has been analyzed by using a one-way ANOVA.There are three treatment groups in the design, and each sample size is four.The mean for group 1 is 23.50 and for group 3 it is 27.50.MSE is 3.19.Using α=0.05 there is a significant difference between these two groups.

The Tukey-Kramer procedure allows us to simultaneously examine all pairs of population means after the ANOVA test has been completed without increasing the true α level.

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

In an experimental design, a characteristic of the subjects that was present prior to the experiment and is not the result of the experimenter's manipulations or control is called a classification variable.

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 critical F value for the blocking effects null hypothesis is ___.