Question 1

When the objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called a:

Accepted Answer

A)  completely randomized design. 
B)  one-way ANOVA design. 
C)  randomized block design. 
D)  None of these choices. 
A)  completely randomized design. 
B)  one-way ANOVA design. 
C)  randomized block design. 
D)  None of these choices.

Question 2

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 3

The primary interest of designing a randomized block experiment is to:

Accepted Answer

A)  reduce the within-treatments variation to more easily detect differences among the treatment means. 
B)  increase the between-treatments variation to more easily detect differences among the treatment means. 
C)  reduce the variation among blocks. 
D)  None of these choices. 
A)  reduce the within-treatments variation to more easily detect differences among the treatment means. 
B)  increase the between-treatments variation to more easily detect differences among the treatment means. 
C)  reduce the variation among blocks. 
D)  None of these choices.

Question 4

The analysis of variance (ANOVA) tests hypotheses about population variances and requires all the population means to be equal.

Accepted Answer

A) True 
 B)False

Question 5

One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances.Which of the following is the null hypothesis for this procedure?

Accepted Answer

A)  $\mu$1 + $\mu$2 + $\mu$3 = 0 
B) $\mu$1 + $\mu$2 + $\mu$3 $\neq$ 0 
C) $\mu$1 = $\mu$2 = $\mu$3 = 0 
D)  $\mu$1 = $\mu$2 = $\mu$3 
A)  $\mu$1 + $\mu$2 + $\mu$3 = 0 
B) $\mu$1 + $\mu$2 + $\mu$3 $\neq$ 0 
C) $\mu$1 = $\mu$2 = $\mu$3 = 0 
D)  $\mu$1 = $\mu$2 = $\mu$3

Question 6

Acid Reflux
A partial ANOVA table in a randomized block design is shown below, where the treatments refer to different acid reflux medicines, and the blocks refer to groups of men with similar levels of stomach acid.
  
-{Acid Reflux Narrative} Can we infer at the 5% significance level that the block means differ?

Accepted Answer

H₀: @#LAT-DLM&₁ = @#LAT-DLM&₂ = @#LAT-DLM&₃ = @#LAT-DLM&₄ = @#LAT-DLM&₅ = @#LAT-DLM&₆ =@#LAT-DLM&₇ vs.H₁: At least two

Question 7

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 Fisher's LSD method with $\alpha$ = 0.05 to determine which school's means differ.

Accepted Answer

LSD = 64.65
 @#IMG-DLM& The mean LSAT score for Sc

Question 8

In a(n) ____________________ factorial experiment, data for all possible combinations of the levels of the factors are gathered.

Accepted Answer

The answer of In a(n) ____________________ factorial experiment, data for...

Question 9

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 10

Multiple comparison methods are used after it is found that H0 from ANOVA has been ____________________.

Accepted Answer

Question 11

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals ____________________ divided by ____________________.

Accepted Answer

MS(AB); MS

Question 12

When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized ____________________ design.

Accepted Answer

The answer of When the problem objective is to compare...

Question 13

The test statistic of the single-factor ANOVA equals:

Accepted Answer

A)  sum of squares for treatments / sum of squares for error. 
B)  sum of squares for error / sum of squares for treatments. 
C)  mean square for treatments / mean square for error. 
D)  mean square for error / mean square for treatments. 
A)  sum of squares for treatments / sum of squares for error. 
B)  sum of squares for error / sum of squares for treatments. 
C)  mean square for treatments / mean square for error. 
D)  mean square for error / mean square for treatments.

Question 14

In a single-factor analysis of variance, MST is the mean square for treatments and MSE is the mean square for error.The null hypothesis of equal population means is rejected if:

Accepted Answer

A)  MST is much larger than MSE. 
B)  MST is much smaller than MSE. 
C)  MST is equal to MSE. 
D)  None of these choices. 
A)  MST is much larger than MSE. 
B)  MST is much smaller than MSE. 
C)  MST is equal to MSE. 
D)  None of these choices.

Question 15

If there is enough evidence to conclude that there is interaction in a two-factor ANOVA, do not proceed to conduct the F-tests for each factor individually.

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

The answer of Number of observation for particular combination of...

Question 17

Health Inspectors' Ages
In order to examine the differences in ages of health inspectors among five counties, a Health Department statistician took random samples of six inspectors' ages in each county.The data are listed below.An F-test using ANOVA showed that average age differs for at least two counties.
  
-{Health Inspectors' Ages Narrative} Use Fisher's LSD procedure with$\alpha$ = .05 to determine which population means differ.

Accepted Answer

LSD = 7.613
 @#IMG-DLM& The mean for district 3 is

Question 18

A randomized block experiment having five treatments and six blocks produced the following values: SST = 252, SS(Total) = 1,545, SSE = 198.The value of SSB must be 1095.

Accepted Answer

A) True 
 B)False

Question 19

The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

Accepted Answer

Question 20

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: @#LAT-DLM&₁ = @#LAT-DLM&₂ = @#LAT-DLM&₃ vs.H₁: At least two m

When the objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called a:

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

The primary interest of designing a randomized block experiment is to:

The analysis of variance (ANOVA) tests hypotheses about population variances and requires all the population means to be equal.

One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances.Which of the following is the null hypothesis for this procedure?

In a(n) ____________________ factorial experiment, data for all possible combinations of the levels of the factors are gathered.

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.

Multiple comparison methods are used after it is found that H₀ from ANOVA has been ____________________.

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals divided by .

When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized ____________________ design.

The test statistic of the single-factor ANOVA equals:

In a single-factor analysis of variance, MST is the mean square for treatments and MSE is the mean square for error.The null hypothesis of equal population means is rejected if:

If there is enough evidence to conclude that there is interaction in a two-factor ANOVA, do not proceed to conduct the F-tests for each factor individually.

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

A randomized block experiment having five treatments and six blocks produced the following values: SST = 252, SS(Total) = 1,545, SSE = 198.The value of SSB must be 1095.

The F-test statistic in ANOVA is equal to MS divided by MS and H₀ is rejected for values of F.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Filters

Exam 14: Analysis of Variance

When the objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called a:

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

The primary interest of designing a randomized block experiment is to:

The analysis of variance (ANOVA) tests hypotheses about population variances and requires all the population means to be equal.

One-way ANOVA is applied to independent samples taken from three normally distributed populations with equal variances.Which of the following is the null hypothesis for this procedure?

In a(n) ____________________ factorial experiment, data for all possible combinations of the levels of the factors are gathered.

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.

Multiple comparison methods are used after it is found that H0 from ANOVA has been ____________________.

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals ____________________ divided by ____________________.

When the problem objective is to compare more than two populations, the experimental design that is the counterpart of the matched pairs experiment is called the randomized ____________________ design.

The test statistic of the single-factor ANOVA equals:

In a single-factor analysis of variance, MST is the mean square for treatments and MSE is the mean square for error.The null hypothesis of equal population means is rejected if:

If there is enough evidence to conclude that there is interaction in a two-factor ANOVA, do not proceed to conduct the F-tests for each factor individually.

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

A randomized block experiment having five treatments and six blocks produced the following values: SST = 252, SS(Total) = 1,545, SSE = 198.The value of SSB must be 1095.

The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Filters

Multiple comparison methods are used after it is found that H₀ from ANOVA has been ____________________.

To test for interaction between factors A and B in a two-factor ANOVA, you use the F statistic that equals divided by .

The F-test statistic in ANOVA is equal to MS divided by MS and H₀ is rejected for values of F.