Question 1

If there are five treatments under study, the number of pairwise comparisons is ________.

Accepted Answer

A)  15 
B)  5 
C)  20 
D)  10 
A)  15 
B)  5 
C)  20 
D)  10

Question 2

A police chief wants to determine if crime rates are different for four different areas of the city (East(1), West(2), North(3), and South sides), and obtains data on the number of crimes per day in each area. The one-way ANOVA table is shown below.   The degrees of freedom for the hypothesis test are ________.

Accepted Answer

A)  4, 20 
B)  3, 23 
C)  3, 20 
D)  4, 23 
A)  4, 20 
B)  3, 23 
C)  3, 20 
D)  4, 23

Question 3

Consider the partially completed two-way ANOVA (without interaction) summary table.   The mean square for factor A is ________.

Accepted Answer

A)  200 
B)  410 
C)  160 
D)  50 
A)  200 
B)  410 
C)  160 
D)  50

Question 4

A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) - Factor A, and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers) - Factor B. An incomplete ANOVA table is shown below.   For factor A, the value of the test statistic is ________.

Accepted Answer

A)  3.21 
B)  2.15 
C)  16.43 
D)  3 
A)  3.21 
B)  2.15 
C)  16.43 
D)  3

Question 5

In general, a blocking variable is used to eliminate the variability in the response due to the levels of the blocking variable.

Accepted Answer

A) True 
 B)False

Question 6

Consider the partially completed two-way ANOVA (without interaction) summary table.   The sum of squares for factor A is ________.

Accepted Answer

A)  930 
B)  800 
C)  1,150 
D)  980 
A)  930 
B)  800 
C)  1,150 
D)  980

Question 7

A police chief wants to determine if crime rates are different for four different areas of the city (East(1), West(2), North(3), and South(4) sides), and obtains data on the number of crimes per day in each area. The one-way ANOVA table is shown below.   At the 1% significance level, the conclusion for the hypothesis test is ________.

Accepted Answer

A)  reject the null hypothesis; we can conclude that not all mean number of crimes are equal 
B)  do not reject the null hypothesis; we can conclude not all mean number of crimes are equal 
C)  reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal 
D)  do not reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal 
A)  reject the null hypothesis; we can conclude that not all mean number of crimes are equal 
B)  do not reject the null hypothesis; we can conclude not all mean number of crimes are equal 
C)  reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal 
D)  do not reject the null hypothesis; we cannot conclude that not all mean number of crimes are equal

Question 8

Consider the partially completed two-way ANOVA (with interaction) summary table.   The degrees of freedom for the interaction of factors A and B is ________.

Accepted Answer

A)  6 
B)  4 
C)  3 
D)  5 
A)  6 
B)  4 
C)  3 
D)  5

Question 9

A farmer plants tomato seeds into four different plots. In each plot, there is a different fertilizer treatment that is applied to the soil. After conducting the hypothesis test for the mean heights, he obtains Tukey's confidence intervals which are below.   Use Tukey's confidence intervals to determine which plots/fertilizers have different mean heights.

Accepted Answer

The mean heights are different

Question 10

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples.

Accepted Answer

A) True 
 B)False

Question 11

A research firm wants to compare the miles per gallon (mpg) for three different types of gasoline. To control for the performance of different types of cars, seven types of cars were used as the blocks. The study yielded the below as the following incomplete two-way ANOVA table.   a. Complete the ANOVA table.
B) At the 5% significance level, can you conclude if the average mpg differs by gas type?
C) At the 5% significance level, can you conclude if the average mpg differs by car type?

Accepted Answer

a. @#IMG-DLM& b. Let µi be the mean mileage per ga

Question 12

A market researcher is studying the spending habits of people across age groups. The amount of money spent by each individual is classified by spending category (Dining out, Shopping, or Electronics) and generation (Gen-X, Gen-Y, Gen-Z, or Baby Boomers). The data and an incomplete ANOVA table are shown below.     The value of SSE is ________.

Accepted Answer

A)  46,869 
B)  159,860 
C)  116,767 
D)  1,321,831 
A)  46,869 
B)  159,860 
C)  116,767 
D)  1,321,831

Question 13

When two factors interact, the effect of one factor on the mean depends upon the specific value or level for the other factor.

Accepted Answer

A) True 
 B)False

Question 14

Tukey's HSD method uses ________ instead of ________ when compared to Fisher's LSD method for pairwise comparisons.

Accepted Answer

A)  t values; studentized range values 
B)  studentized range values; F values 
C)  F values; t values 
D)  studentized range values; t values 
A)  t values; studentized range values 
B)  studentized range values; F values 
C)  F values; t values 
D)  studentized range values; t values

Question 15

The following is an incomplete ANOVA table.   The mean square error is ________.

Accepted Answer

A)  1.333 
B)  9.375 
C)  25 
D)  75 
A)  1.333 
B)  9.375 
C)  25 
D)  75

Question 16

AutoTrader.com would like to test if a difference exists in the age of three different types of vehicles currently on the road: trucks, cars, and vans. The following data represent the age of a random sample of trucks, cars, and vans.   The mean square for treatments MSTR for these observations is ________.

Accepted Answer

A)  2.0 
B)  4.7 
C)  16.0 
D)  12.5 
A)  2.0 
B)  4.7 
C)  16.0 
D)  12.5

Question 17

A police chief wants to determine if crime rates are different for four different areas of the city (East(1), West(2), North(3), and South(4) sides), and obtains data on the number of crimes per day in each area. The Tukey's confidence intervals are shown below.   At the 1% significance level, the conclusion from Tukey's confidence intervals is we ________.

Accepted Answer

A)  cannot conclude the mean number of crimes differs for West and East 
B)  cannot conclude the mean number of crimes differs for West and South 
C)  cannot conclude the mean number of crimes differs for South and North 
D)  cannot conclude the mean number of crimes differs for West and North 
A)  cannot conclude the mean number of crimes differs for West and East 
B)  cannot conclude the mean number of crimes differs for West and South 
C)  cannot conclude the mean number of crimes differs for South and North 
D)  cannot conclude the mean number of crimes differs for West and North

Question 18

The one-way ANOVA null hypothesis is rejected when the ________.

Accepted Answer

A)  two estimates of the variance are relatively close together 
B)  variability in the sample means can be explained by chance 
C)  ratio of the within-treatments variance and the between-treatments variance is 1 
D)  ratio of the within-treatments variance and the between-treatments variance is significantly greater than 1 
A)  two estimates of the variance are relatively close together 
B)  variability in the sample means can be explained by chance 
C)  ratio of the within-treatments variance and the between-treatments variance is 1 
D)  ratio of the within-treatments variance and the between-treatments variance is significantly greater than 1

Question 19

A regional sales manager of a bank wants to know if the number of ATM transactions per day is different for four cities of equal size in the executive's region. The executive collects relevant data and obtains the following incomplete One-Way ANOVA table.   a. Complete the ANOVA table.
B) Set up the competing hypothesis to test whether there are differences in the mean number of ATM transactions per day between the different cities.
C) At the 5% significance level, what is the conclusion to the test?

Accepted Answer

a. @#IMG-DLM& b. Let μi be the mean number of ATM

Question 20

A researcher with the Ministry of Transportation is commissioned to study the drive times to work (one-way) for U.S. cities. The underlying hypothesis is that average commute times are different across cities. To test the hypothesis, the researcher randomly selects six people from each of the four cities and records their one-way commute times to work. Refer to the below data on one-way commute times (in minutes) to work. Note that the grand mean is 36.625.   Which of the following is the sum of squares due to treatments?

Accepted Answer

A)  5,285.83 
B)  13,281.79 
C)  18,567.63 
D)  4,427.26 
A)  5,285.83 
B)  13,281.79 
C)  18,567.63 
D)  4,427.26

If there are five treatments under study, the number of pairwise comparisons is ________.

Consider the partially completed two-way ANOVA (without interaction) summary table. The mean square for factor A is ________.

In general, a blocking variable is used to eliminate the variability in the response due to the levels of the blocking variable.

Consider the partially completed two-way ANOVA (without interaction) summary table. The sum of squares for factor A is ________.

Consider the partially completed two-way ANOVA (with interaction) summary table. The degrees of freedom for the interaction of factors A and B is ________.

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples.

When two factors interact, the effect of one factor on the mean depends upon the specific value or level for the other factor.

Tukey's HSD method uses instead of when compared to Fisher's LSD method for pairwise comparisons.

The following is an incomplete ANOVA table. The mean square error is ________.

The one-way ANOVA null hypothesis is rejected when the ________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers, and Inflation

Nonparametric Tests

Filters

Exam 13: Analysis of Variance

If there are five treatments under study, the number of pairwise comparisons is ________.

Consider the partially completed two-way ANOVA (without interaction) summary table. The mean square for factor A is ________.

In general, a blocking variable is used to eliminate the variability in the response due to the levels of the blocking variable.

Consider the partially completed two-way ANOVA (without interaction) summary table. The sum of squares for factor A is ________.

Consider the partially completed two-way ANOVA (with interaction) summary table. The degrees of freedom for the interaction of factors A and B is ________.

We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples.

When two factors interact, the effect of one factor on the mean depends upon the specific value or level for the other factor.

Tukey's HSD method uses ________ instead of ________ when compared to Fisher's LSD method for pairwise comparisons.

The following is an incomplete ANOVA table. The mean square error is ________.

The one-way ANOVA null hypothesis is rejected when the ________.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Regression Analysis

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers, and Inflation

Nonparametric Tests

Filters

Tukey's HSD method uses instead of when compared to Fisher's LSD method for pairwise comparisons.