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 Error Sum of Squares (SSE)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 critical value of the studentized range distribution 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) 3.95 C) 9.17 D) 1.65 E) 1.79 A) 1.86 B) 3.95 C) 9.17 D) 1.65 E) 1.79

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 treatments null hypothesis is ________.

A) 3.59 B) 4.76 C) 3.98 D) 5.14 E) 9.89 A) 3.59 B) 4.76 C) 3.98 D) 5.14 E) 9.89

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 Blocks Sum of Squares (SSR)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

Exam 11: Analysis of Variance and Design of Experiments

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 25.00 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.

(True/False)

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Question 121

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 Error Sum of Squares (SSE)is ________.

(Multiple Choice)

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Question 122

For the following ANOVA table, the critical value of the studentized range distribution 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)

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Question 123

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 null hypothesis is ______.

(Multiple Choice)

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Question 124

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 treatment effects is ________.

(Multiple Choice)

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Question 125

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 q obtained for this problem?

(Multiple Choice)

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Question 126

The statistical methods of analysis of variance assume equal sample means.

(True/False)

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Question 127

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 "supervisor's style" effects is _____________.

(Multiple Choice)

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Question 128

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 treatments null hypothesis is ________.

(Multiple Choice)

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Question 129

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 null hypothesis for training methods is _____________.

(Multiple Choice)

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Question 130

Determining the table value for the F distribution requires two values for degrees of freedom.

(True/False)

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Question 131

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 Blocks Sum of Squares (SSR)is ________.

(Multiple Choice)

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Question 132

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 null hypothesis is ______.

(Multiple Choice)

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Question 133

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 25.00 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.

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 Error Sum of Squares (SSE)is ________.

For the following ANOVA table, the critical value of the studentized range distribution 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

The statistical methods of analysis of variance assume equal sample means.

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 treatments null hypothesis is ________.

Determining the table value for the F distribution requires two values for degrees of freedom.

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 Blocks Sum of Squares (SSR)is ________.

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 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 25.00 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.

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 Error Sum of Squares (SSE)is ________.

For the following ANOVA table, the critical value of the studentized range distribution 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

The statistical methods of analysis of variance assume equal sample means.

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 treatments null hypothesis is ________.

Determining the table value for the F distribution requires two values for degrees of freedom.

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 Blocks Sum of Squares (SSR)is ________.

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 critical value of the studentized range distribution 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

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 treatments null hypothesis is ________.