Question 1

Number of observation for particular combination of treatments is called a(n)________________.

Accepted Answer

replicate

Question 2

In a two-factor ANOVA,there are 4 levels for factor A,5 levels for factor B,and 3 observations for each combination of factor A and factor B levels.The total number of observations in this experiment equals:

Accepted Answer

A) 60 
B) 25 
C) 20 
D) 16 
A) 60 
B) 25 
C) 20 
D) 16 A

Question 3

Motorcycle Repair Cost
 Motorcycle insurance appraisers examine motorcycles that have been involved in accidental collisions and estimate the cost of repairs.An insurance executive claims that there are significant differences in the estimates from different appraisers.To support his claim he takes a random sample of six motorcycles that have recently been damaged in accidents.Three appraisers then estimate the repair costs of all six motorcycles.The data are shown below.   ​ ​
-{Motorcycle Repair Cost Narrative} Can we infer at the 5% significance level that the executive's claim is true?

Accepted Answer

H₀: μ₁ = μ₂ = μ₃ vs.H₁: At least two means differ Conclusion: Reject the null hypothesis.Yes,the insurance executive's claim is true,according to this data.

Question 4

We can use the F-test to determine whether μ1 is greater than μ2.

Accepted Answer

A) True 
 B)False

Question 5

The sum of squares for treatments,SST,achieves its smallest value (zero)when all the sample means are equal.

Accepted Answer

A) True 
 B)False

Question 6

In one-way ANOVA,the test statistic is defined as the ratio of the mean square for error (MSE)and the mean square for treatments (MST),namely,F = MSE / MST.

Accepted Answer

A) True 
 B)False

Question 7

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 2000,SST = 400,SSE = 200.The value of MSB must be 350.

Accepted Answer

A) True 
 B)False

Question 8

In the two-factor ANOVA where a is the number of factor A levels,b is the number of factor B levels,and r is the number of replicates,the number of degrees of freedom for interaction is:

Accepted Answer

A) (a − 1)(b − 1) 
B) abr − 1 
C) (a − 1)(r − 1) 
D) n − ab 
A) (a − 1)(b − 1) 
B) abr − 1 
C) (a − 1)(r − 1) 
D) n − ab

Question 9

GMAT Scores
 A recent college graduate is in the process of deciding which one of three graduate schools he should apply to.He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following GMAT scores.Assume that the data are normally distributed with equal variances for each school.   ​ ​
-{GMAT Scores Narrative} Can he infer at the 10% significance level that the GMAT scores differ among the three schools?

Accepted Answer

H₀: μ₁ = μ₂ = μ₃ vs.H₁: At least tw

Question 10

In a one-way ANOVA,error variability is computed as the sum of the squared errors,SSE,for all values of the response variable.This variability is the:

Accepted Answer

A) the total variation. 
B) within-treatments variation. 
C) between-treatments variation. 
D) None of these choices. 
A) the total variation. 
B) within-treatments variation. 
C) between-treatments variation. 
D) None of these choices.

Question 11

Number of observation for a particular combination of treatments is called a replicate.

Accepted Answer

A) True 
 B)False

Question 12

The distribution of the test statistic for analysis of variance is the:

Accepted Answer

A) normal distribution. 
B) Student t-distribution. 
C) F-distribution. 
D) None of these choices. 
A) normal distribution. 
B) Student t-distribution. 
C) F-distribution. 
D) None of these choices.

Question 13

LSAT Scores
 A recent college graduate is in the process of deciding which one of three Law schools he should apply to.He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following LSAT scores.An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools.   ​ ​
-{LSAT Scores Narrative} Use Tukey's method with α = 0.05 to determine which population means differ.

Accepted Answer

ω = 78.71 @#IMG-DLM& ​ It is clear that the mean L

Question 14

Which of the following components in an ANOVA table is not additive?

Accepted Answer

A) Sum of squares 
B) Degrees of freedom 
C) Mean squares 
D) All of these choices are additive. 
A) Sum of squares 
B) Degrees of freedom 
C) Mean squares 
D) All of these choices are additive.

Question 15

The alternative hypothesis of ANOVA is that ____________________ population means are different.

Accepted Answer

at least 2

Question 16

In one-way ANOVA,the amount of total variation that is unexplained is measured by the:

Accepted Answer

A) sum of squares for treatments. 
B) degrees of freedom. 
C) total sum of squares. 
D) sum of squares for error. 
A) sum of squares for treatments. 
B) degrees of freedom. 
C) total sum of squares. 
D) sum of squares for error.

Question 17

The test statistic in the analysis of variance (ANOVA)technique follows a normal distribution.

Accepted Answer

A) True 
 B)False

Question 18

In ANOVA the populations are classified according to one or more criterion,called ____________________.

Accepted Answer

The answer of In ANOVA the populations are classified according...

Question 19

In a two-factor ANOVA,always test for ____________________ first.

Accepted Answer

The answer of In a two-factor ANOVA,always test for ____________________...

Question 20

TV News Viewing Habits
 A statistician employed by a television rating service wanted to determine if there were differences in television viewing habits among three different cities in New York.She took a random sample of five adults in each of the cities and asked each to report the number of hours spent watching television in the previous week.The results are shown below. (Assume normal distributions with equal variances.)   ​ ​
-{TV News Viewing Habits Narrative} Set up the ANOVA Table.Use α = 0.05 to determine the critical value.

Accepted Answer

The answer of TV News Viewing Habits
 A statistician employed...

Number of observation for particular combination of treatments is called a(n)________________.

In a two-factor ANOVA,there are 4 levels for factor A,5 levels for factor B,and 3 observations for each combination of factor A and factor B levels.The total number of observations in this experiment equals:

We can use the F-test to determine whether μ₁ is greater than μ₂.

The sum of squares for treatments,SST,achieves its smallest value (zero)when all the sample means are equal.

In one-way ANOVA,the test statistic is defined as the ratio of the mean square for error (MSE)and the mean square for treatments (MST),namely,F = MSE / MST.

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 2000,SST = 400,SSE = 200.The value of MSB must be 350.

In the two-factor ANOVA where a is the number of factor A levels,b is the number of factor B levels,and r is the number of replicates,the number of degrees of freedom for interaction is:

In a one-way ANOVA,error variability is computed as the sum of the squared errors,SSE,for all values of the response variable.This variability is the:

Number of observation for a particular combination of treatments is called a replicate.

The distribution of the test statistic for analysis of variance is the:

Which of the following components in an ANOVA table is not additive?

The alternative hypothesis of ANOVA is that ____________________ population means are different.

In one-way ANOVA,the amount of total variation that is unexplained is measured by the:

The test statistic in the analysis of variance (ANOVA)technique follows a normal distribution.

In ANOVA the populations are classified according to one or more criterion,called ____________________.

In a two-factor ANOVA,always test for ____________________ first.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 14: Analysis of Variance

Number of observation for particular combination of treatments is called a(n)________________.

In a two-factor ANOVA,there are 4 levels for factor A,5 levels for factor B,and 3 observations for each combination of factor A and factor B levels.The total number of observations in this experiment equals:

We can use the F-test to determine whether μ1 is greater than μ2.

The sum of squares for treatments,SST,achieves its smallest value (zero)when all the sample means are equal.

In one-way ANOVA,the test statistic is defined as the ratio of the mean square for error (MSE)and the mean square for treatments (MST),namely,F = MSE / MST.

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 2000,SST = 400,SSE = 200.The value of MSB must be 350.

In the two-factor ANOVA where a is the number of factor A levels,b is the number of factor B levels,and r is the number of replicates,the number of degrees of freedom for interaction is:

In a one-way ANOVA,error variability is computed as the sum of the squared errors,SSE,for all values of the response variable.This variability is the:

Number of observation for a particular combination of treatments is called a replicate.

The distribution of the test statistic for analysis of variance is the:

Which of the following components in an ANOVA table is not additive?

The alternative hypothesis of ANOVA is that ____________________ population means are different.

In one-way ANOVA,the amount of total variation that is unexplained is measured by the:

The test statistic in the analysis of variance (ANOVA)technique follows a normal distribution.

In ANOVA the populations are classified according to one or more criterion,called ____________________.

In a two-factor ANOVA,always test for ____________________ first.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

We can use the F-test to determine whether μ₁ is greater than μ₂.