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 observed F value for the treatments null hypothesis is _____.

A) 5.14 B) 0.37 C) 1.17 D) 0.22 E) 2.00 A) 5.14 B) 0.37 C) 1.17 D) 0.22 E) 2.00

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

A) 4 B) 20 C) 12 D) 64 E) 16 A) 4 B) 20 C) 12 D) 64 E) 16

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 blocking effects is ________.

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

Exam 11: Analysis of Variance and Design of Experiments

A college administrator might want to determine if there are differences in credit hour loads based on student living arrangements as well as student grade level.In this case, the independent variable(s)is/are _________________.

(Multiple Choice)

4.8/5

(36)

Question 61

In an experimental design, part of the total _ in the dependent variable is being explained by differences in the variable.

(Multiple Choice)

4.8/5

(28)

Question 62

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.Cindy's experimental design is a ________.

(Multiple Choice)

4.9/5

(41)

Question 63

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. 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 critical F value is ______.

(Multiple Choice)

4.8/5

(34)

Question 64

The results of an experiment comparing the cycle lengths of three different brands of washing machines (N=33)indicated an overall mean square error of 2.58.The researcher believes that the brands 1 and 2 may be the most different as they have mean cycles of 31.8 (n=12)and 35.9 (n=10).Using an alpha of 0.05, would the research find evidence of a significant difference in these brands?

(Multiple Choice)

4.7/5

(42)

Question 65

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 observed F value for the treatments null hypothesis is _____.

(Multiple Choice)

4.7/5

(30)

Question 66

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. Source of Variation SS df MS F Treatment 3608.333 2 1804.167 Errar 13591.67 15 906.1111 Total 17200 17 Using $\alpha$ = 0.05, the observed F value is _____________.

(Multiple Choice)

4.8/5

(35)

Question 67

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 has ______ levels.

(Multiple Choice)

4.8/5

(33)

Question 68

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.Cindy's experimental design is a ________.

(Multiple Choice)

4.8/5

(32)

Question 69

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.Analysis of Colin's data produced the following ANOVA table. Source of Variation SS df Ms F Rows (supervisor's style) 410.8889 1 410.8889 45.09756 Columy (trairing method) 120.7778 2 60.38889 6.628049 Irteraction 2.111111 2 1.055556 0.115854 Withirl 109.3333 12 9.111111 Total 643.1111 17 Using $\alpha$ = .05, the appropriate decision for "training method" effects is _____________.

(Multiple Choice)

4.9/5

(38)

Question 70

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 source of protein intake is ______.

(Multiple Choice)

5.0/5

(43)

Question 71

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. Source of Variation SS F Rows (treats) 3.5926 2 1.79296 0.27 Colurun (voice tone) 14.8148 2 7.40741 1.11 Irteraction 19.1852 4 4.79296 0.72 Using $\alpha$ = .05, the appropriate decision for "voice tone" effect is _____________.

(Multiple Choice)

5.0/5

(31)

Question 72

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.In Kathleen's experimental design "painting style" is _______.

(Multiple Choice)

4.9/5

(29)

Question 73

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

(Multiple Choice)

4.9/5

(40)

Question 74

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 blocking effects is ________.

(Multiple Choice)

4.9/5

(42)

Question 75

A college administrator might want to determine if there are differences in credit hour loads based on student living arrangements as well as student grade level.In this case, the dependent variable(s)is/are _________________.

(Multiple Choice)

4.7/5

(39)

Question 76

A pet adoption agency is considering the probability of a pet being adopted when considering its age and its size.A factorial design can help the agency consider the interaction effects between adoption and size.

(True/False)

4.7/5

(38)

Question 77

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 dependent variable is ________________.

(Multiple Choice)

4.9/5

(39)

Question 78

Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine with method of transportation customers prefer to arrive at the bed and breakfast.In this experiment, they will ask customers how they traveled as well as their satisfaction with that mode of transportation.In this study, the independent variable is a ___________.

(Multiple Choice)

4.9/5

(35)

Question 79

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. Source of Variation Treatrnent 1844.2 614.7333 7.568277 Error 1299.6 16 81.225 Total 3143.8 19 Using $\alpha$ = 0.01, the appropriate decision is _________.

(Multiple Choice)

4.7/5

(32)

Question 80

A college administrator might want to determine if there are differences in credit hour loads based on student living arrangements as well as student grade level.In this case, the independent variable(s)is/are _________________.

In an experimental design, part of the total _ in the dependent variable is being explained by differences in the 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 observed F value for the treatments null hypothesis is _____.

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

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 blocking effects is ________.

A college administrator might want to determine if there are differences in credit hour loads based on student living arrangements as well as student grade level.In this case, the dependent variable(s)is/are _________________.

A pet adoption agency is considering the probability of a pet being adopted when considering its age and its size.A factorial design can help the agency consider the interaction effects between adoption and size.

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

A college administrator might want to determine if there are differences in credit hour loads based on student living arrangements as well as student grade level.In this case, the independent variable(s)is/are _________________.

In an experimental design, part of the total ___________ in the dependent variable is being explained by differences in the __________ 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 observed F value for the treatments null hypothesis is _____.

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

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 blocking effects is ________.

A college administrator might want to determine if there are differences in credit hour loads based on student living arrangements as well as student grade level.In this case, the dependent variable(s)is/are _________________.

A pet adoption agency is considering the probability of a pet being adopted when considering its age and its size.A factorial design can help the agency consider the interaction effects between adoption and size.

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

In an experimental design, part of the total _ in the dependent variable is being explained by differences in the 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 observed F value for the treatments null hypothesis is _____.

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

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 blocking effects is ________.