Question 1

The null hypothesis that indicates there are no differences in population means across levels is H0: µ1= µ2=… µJ.

Accepted Answer

A) True 
 B)False  True

Question 2

What is one assumption of two-way ANOVA tests?

Accepted Answer

A)  The distribution is not normal and the variances are different across combinations. 
B)  The distribution is normal and the variance at any particular combination is the same as any other combination. 
C)  The distribution is not normal and the variance at any particular combination is the same as any other combination. 
D)  The distribution is normal and the variances are different across combinations. 
A)  The distribution is not normal and the variances are different across combinations. 
B)  The distribution is normal and the variance at any particular combination is the same as any other combination. 
C)  The distribution is not normal and the variance at any particular combination is the same as any other combination. 
D)  The distribution is normal and the variances are different across combinations. B

Question 3

In a full factorial design, researchers assign experimental units to each treatment level combination.

Accepted Answer

A) True 
 B)False  True

Question 4

Jeremiah is testing the impact of different fertilizers on crop yields. Six different fertilizers have been applied to one field. Suppose he uses an ANOVA to test whether or not there are differences in yields. How many treatments are in this test?

Accepted Answer

A)  zero 
B)  one 
C)  five 
D)  six 
A)  zero 
B)  one 
C)  five 
D)  six

Question 5

In a designed experiment, researchers control for various factors such as age, gender, or socioeconomic status.

Accepted Answer

A) True 
 B)False

Question 6

Moriah runs a one-way ANOVA to test differences in means in delivery time. The SSB is 109,400 and the total sum of squares is 715,460. What is the value of the SSW?

Accepted Answer

A)  -606,060 
B)  218,800 
C)  606,060 
D)  824,860 
A)  -606,060 
B)  218,800 
C)  606,060 
D)  824,860

Question 7

​
-Mook Corp. has utilized three different types of training for its employees. The company would like to determine whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs. What is the alternate hypothesis for the ANOVA test in the accompanying figure?

Accepted Answer

H_A: at leas

Question 8

​
-Mook Corp. has utilized three different types of training for its employees. The company would like to determine whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs. The one-way ANOVA results are in the table. Suppose Mook Corp. was interested in running a two-way ANOVA. What other factors might you recommend they include in the test?

Accepted Answer

In general, the factors should

Question 9

Priti is wondering whether time of day impacts worker productivity. She randomly chooses 25 workers from each of the three shifts her company runs. The design of this study is:

Accepted Answer

A)  even 
B)  balanced 
C)  unbalanced 
D)  observational 
A)  even 
B)  balanced 
C)  unbalanced 
D)  observational

Question 10

In a one-way ANOVA test, we conclude there are differences across population means if the:

Accepted Answer

A)  between variation is small relative to the within variation 
B)  between variation and within variation are equal 
C)  between variation is large relative to the within variation 
D)  between variation equals zero 
A)  between variation is small relative to the within variation 
B)  between variation and within variation are equal 
C)  between variation is large relative to the within variation 
D)  between variation equals zero

Question 11

​
-Mook Corp. has utilized three different types of training for its employees. The company would like to determine whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs. What does the ANOVA output in the accompanying figure indicate?

Accepted Answer

The p-value is small, which results in t

Question 12

Which p-value from a two-way ANOVA table indicates an effect that is not statistically significant?

Accepted Answer

A)  0.000 
B)  0.011 
C)  0.047 
D)  0.110 
A)  0.000 
B)  0.011 
C)  0.047 
D)  0.110

Question 13

Samples with large within variation have boxplots with:

Accepted Answer

A)  wide boxes and long lines extending from them 
B)  wide boxes and no lines extending from them 
C)  short boxes and no lines extending from them 
D)  short boxes and short lines extending from them 
A)  wide boxes and long lines extending from them 
B)  wide boxes and no lines extending from them 
C)  short boxes and no lines extending from them 
D)  short boxes and short lines extending from them

Question 14

​
-Mook Corp. has utilized three different types of training for its employees. The company would like to determine whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs. Using information from the table, determine the value of the SSB. What does it measure?

Accepted Answer

The SSB value is 440

Question 15

​
-Mook Corp. has utilized three different types of training for its employees. The company would like to determine whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs. The table includes one-way ANOVA results. What is the logical next step once Mook Corp. has identified that workers attending different training programs have different productivity levels?

Accepted Answer

Mook Corp. might consider dete

Question 16

The smaller the p-value in an ANOVA table, the greater the likelihood that the effect:

Accepted Answer

A)  is statistically insignificant 
B)  will be ignored 
C)  is statistically significant 
D)  has no practical impact 
A)  is statistically insignificant 
B)  will be ignored 
C)  is statistically significant 
D)  has no practical impact

Question 17

An observational study:

Accepted Answer

A)  analyzes data already available 
B)  makes it possible to rule out factors over which the researcher has no control for the observed effects 
C)  examines individuals that have been selected by the researchers 
D)  allows researchers to control for all extraneous factors 
A)  analyzes data already available 
B)  makes it possible to rule out factors over which the researcher has no control for the observed effects 
C)  examines individuals that have been selected by the researchers 
D)  allows researchers to control for all extraneous factors

Question 18

Contrast is the unavoidable confusion of some effects with others in an incomplete experimental design.

Accepted Answer

A) True 
 B)False

Question 19

Interactions:

Accepted Answer

A)  indicate patterns of differences in means that could not be guessed from the main effects alone 
B)  occur only in one-way ANOVA tests 
C)  occur when the effect of one factor on the dependent variable is independent of the level of other factors 
D)  indicate the effect of one factor on the dependent variable is the same regardless of the level of the other factors 
A)  indicate patterns of differences in means that could not be guessed from the main effects alone 
B)  occur only in one-way ANOVA tests 
C)  occur when the effect of one factor on the dependent variable is independent of the level of other factors 
D)  indicate the effect of one factor on the dependent variable is the same regardless of the level of the other factors

Question 20

In two-way ANOVA, a single variable is measured at various levels of a single factor.

Accepted Answer

A) True 
 B)False

The null hypothesis that indicates there are no differences in population means across levels is H₀: µ₁= µ₂=… µ_J.

What is one assumption of two-way ANOVA tests?

In a full factorial design, researchers assign experimental units to each treatment level combination.

Jeremiah is testing the impact of different fertilizers on crop yields. Six different fertilizers have been applied to one field. Suppose he uses an ANOVA to test whether or not there are differences in yields. How many treatments are in this test?

In a designed experiment, researchers control for various factors such as age, gender, or socioeconomic status.

Moriah runs a one-way ANOVA to test differences in means in delivery time. The SSB is 109,400 and the total sum of squares is 715,460. What is the value of the SSW?

Priti is wondering whether time of day impacts worker productivity. She randomly chooses 25 workers from each of the three shifts her company runs. The design of this study is:

In a one-way ANOVA test, we conclude there are differences across population means if the:

-Mook Corp. has utilized three different types of training for its employees. The company would like to determine whether or not there are differences in the effectiveness (in terms of worker productivity) across the training programs. What does the ANOVA output in the accompanying figure indicate?

Which p-value from a two-way ANOVA table indicates an effect that is not statistically significant?

Samples with large within variation have boxplots with:

The smaller the p-value in an ANOVA table, the greater the likelihood that the effect:

An observational study:

Contrast is the unavoidable confusion of some effects with others in an incomplete experimental design.

Interactions:

In two-way ANOVA, a single variable is measured at various levels of a single factor.

Introduction to Business Analytics

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Statistical Process Control

Filters

Exam 19: Analysis of Variance and Experimental Design

The null hypothesis that indicates there are no differences in population means across levels is H0: µ1= µ2=… µJ.

What is one assumption of two-way ANOVA tests?

In a full factorial design, researchers assign experimental units to each treatment level combination.

Jeremiah is testing the impact of different fertilizers on crop yields. Six different fertilizers have been applied to one field. Suppose he uses an ANOVA to test whether or not there are differences in yields. How many treatments are in this test?

In a designed experiment, researchers control for various factors such as age, gender, or socioeconomic status.

Moriah runs a one-way ANOVA to test differences in means in delivery time. The SSB is 109,400 and the total sum of squares is 715,460. What is the value of the SSW?

Priti is wondering whether time of day impacts worker productivity. She randomly chooses 25 workers from each of the three shifts her company runs. The design of this study is:

In a one-way ANOVA test, we conclude there are differences across population means if the:

Which p-value from a two-way ANOVA table indicates an effect that is not statistically significant?

Samples with large within variation have boxplots with:

The smaller the p-value in an ANOVA table, the greater the likelihood that the effect:

An observational study:

Contrast is the unavoidable confusion of some effects with others in an incomplete experimental design.

Interactions:

In two-way ANOVA, a single variable is measured at various levels of a single factor.

Introduction to Business Analytics

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Statistical Process Control

Filters

The null hypothesis that indicates there are no differences in population means across levels is H₀: µ₁= µ₂=… µ_J.