For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$= 0.01, is ______. \[\begin{array} { | c | c | c | c | c | } \hline \text { Source of Variation } & \text { SS } & \text { df } & \text { MS } & F \\ \hline \text { Treatrnent } & 0.1233 & 2 & 0.06165 & 1.566311 \\ \hline \text { Error } & 0.5904 & 15 & 0.03936 & \\ \hline \text { Total } & 0.7137 & 17 & & \\ \hline \end{array}\]

A) 0.39 B) 0.55 C) 0.48 D) 0.43 E) 0.68 A) 0.39 B) 0.55 C) 0.48 D) 0.43 E) 0.68

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 Total Sum of Squares (SST)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

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 using $\alpha$ = 0.05, the appropriate decision is ________.

A) do not reject the null hypothesis $\mu$1 $\ge$$\mu$2 $\ge$$\mu$3 B) do not reject the null hypothesis $\mu$1 $\le$ $\mu$2$\le$$\mu$3 C) reject the null hypothesis $\mu$1=$\mu$2=$\mu$3 D) reject the null hypothesis $\mu$1 $\neq$ $\mu$2 $\neq$ $\mu$3 E) do not reject the null hypothesis $\mu$1 $\neq$ $\mu$2 $\neq$0 $\mu$3 A) do not reject the null hypothesis $\mu$1 $\ge$$\mu$2 $\ge$$\mu$3 B) do not reject the null hypothesis $\mu$1 $\le$ $\mu$2$\le$$\mu$3 C) reject the null hypothesis $\mu$1=$\mu$2=$\mu$3 D) reject the null hypothesis $\mu$1 $\neq$ $\mu$2 $\neq$ $\mu$3 E) do not reject the null hypothesis $\mu$1 $\neq$ $\mu$2 $\neq$0 $\mu$3

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 Between Sum of Squares (SSC is ________.

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

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

A) 0.67 B) 1.50 C) 6.00 D) 5.00 E) 4.00 A) 0.67 B) 1.50 C) 6.00 D) 5.00 E) 4.00

Exam 11: Analysis of Variance and Design of Experiments

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$ = 0.01, is ______. Source of Variation SS df MS F Treatrnent 0.1233 2 0.06165 1.566311 Error 0.5904 15 0.03936 Total 0.7137 17

(Multiple Choice)

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Question 41

If the confidence interval for the difference of means contains zero, then it can be concluded that ________________.

(Multiple Choice)

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Question 42

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. Source of Variation SS df MS F Between Groups 68102.33 2 34051.17 Within Groups 29177.67 15 1945.178 Total 97280 17 Using $\alpha$ = 0.05, the observed F value is _____________.

(Multiple Choice)

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Question 43

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. Source of Variation SS Between Groups 68102.33 2 34051.17 Within Groups 29177.67 15 1945.178 Total 97280 17 Using $\alpha$ = 0.05, the critical F value is _____________.

(Multiple Choice)

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Question 44

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 "style" is _______.

(Multiple Choice)

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Question 45

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 has how many levels?

(Multiple Choice)

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Question 46

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 experimental design is a ________.

(Multiple Choice)

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Question 47

In an experimental design, treatment variables are response variables.

(True/False)

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Question 48

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 F Treatrnent 5.35 1.783333 Error 177.2 16 11.075 Total 182.55 19 Using $\alpha$ = 0.01, the observed F value is _________.

(Multiple Choice)

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Question 49

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, what would be the result of the Tukey-Kramer formula?

(Multiple Choice)

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Question 50

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 ____.

(Multiple Choice)

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Question 51

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 critical F value is _____________.

(Multiple Choice)

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Question 52

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 Total Sum of Squares (SST)is ________.

(Multiple Choice)

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Question 53

Interaction effects in a factorial design can be analyzed in randomized block design.

(True/False)

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Question 54

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 critical F value is _____________.

(Multiple Choice)

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Question 55

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 using $\alpha$ = 0.05, the appropriate decision is ________.

(Multiple Choice)

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Question 56

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 Between Sum of Squares (SSC is ________.

(Multiple Choice)

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Question 57

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

(Multiple Choice)

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Question 58

In an experiment where the means of 6 groups are being tested 2 at a time, tests are conducted.If each test is analyzed using an α = 0.01, the probability that at least one Type I error will be committed is .

(Multiple Choice)

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Question 59

In an experimental design, a variable that the experimenter controls or modifies in the experiment is called a treatment variable.

(True/False)

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Question 60

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$ = 0.01, is ______. Source of Variation SS df MS F Treatrnent 0.1233 2 0.06165 1.566311 Error 0.5904 15 0.03936 Total 0.7137 17

If the confidence interval for the difference of means contains zero, then it can be concluded that ________________.

In an experimental design, treatment variables are response variables.

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 ____.

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 Total Sum of Squares (SST)is ________.

Interaction effects in a factorial design can be analyzed in randomized block design.

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 using $\alpha$ = 0.05, the appropriate decision 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 Between Sum of Squares (SSC is ________.

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

In an experiment where the means of 6 groups are being tested 2 at a time, tests are conducted.If each test is analyzed using an α = 0.01, the probability that at least one Type I error will be committed is .

In an experimental design, a variable that the experimenter controls or modifies in the experiment is called a treatment 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

For the following ANOVA table, the HSD value, assuming equal sample sizes and using α\alphaα = 0.01, is ______. Source of Variation SS df MS F Treatrnent 0.1233 2 0.06165 1.566311 Error 0.5904 15 0.03936 Total 0.7137 17

If the confidence interval for the difference of means contains zero, then it can be concluded that ________________.

In an experimental design, treatment variables are response variables.

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 ____.

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 Total Sum of Squares (SST)is ________.

Interaction effects in a factorial design can be analyzed in randomized block design.

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 using α\alphaα = 0.05, the appropriate decision 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 Between Sum of Squares (SSC is ________.

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

In an experiment where the means of 6 groups are being tested 2 at a time, ______ tests are conducted.If each test is analyzed using an α = 0.01, the probability that at least one Type I error will be committed is ______.

In an experimental design, a variable that the experimenter controls or modifies in the experiment is called a treatment 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

For the following ANOVA table, the HSD value, assuming equal sample sizes and using $\alpha$ = 0.01, is ______. Source of Variation SS df MS F Treatrnent 0.1233 2 0.06165 1.566311 Error 0.5904 15 0.03936 Total 0.7137 17

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 using $\alpha$ = 0.05, the appropriate decision is ________.

In an experiment where the means of 6 groups are being tested 2 at a time, tests are conducted.If each test is analyzed using an α = 0.01, the probability that at least one Type I error will be committed is .