Question 1

When performing an F-test, if the means differ significantly, the between-group variance will be much
smaller than the within-group variance.

Accepted Answer

A) True 
 B)False  False

Question 2

The ANOVA technique is an abbreviation for the following term:

Accepted Answer

A)  analysis of variance 
B)  variance 
C)  Scheffé test 
D)  Tukey test 
A)  analysis of variance 
B)  variance 
C)  Scheffé test 
D)  Tukey test A

Question 3

$$\begin{array} { l } 
\text { A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of cofee . The data are given below . } \

\end{array}$$

$\begin{array}{ccc}
\hline \text { Machime A } & \text { Machune B } & \text { Machúe } \mathrm{C} \
\hline 11.8 & 11.7 & 12.2 \
12.1 & 11.9 & 12.1 \
12.0 & 11.7 & 12.0 \
11.9 & 11.8 & 11.9 \
12.1 & 120 & 12.2 \
\hline
\end{array}$
-What is the grand mean for the data given above?

Accepted Answer

A)  12.08 
B)  11.96 
C)  11.82 
D)  11.85 
A)  12.08 
B)  11.96 
C)  11.82 
D)  11.85 B

Question 4

$\text { A Two-Way ANOVA Summary Table is shown below. }$
$\begin{array}{lcccc}
\text { Source } & \text { SS } & \text { d.f. } & \text { MS } & \text { F } \
\text { Factor A } & 12.06 & 2 & 6.03 & 3.77 \
\text { Factor B } & 7.49 & 2 & 3.74 & 2.34 \
\text { Interaction A } ~ B ~ & 29.89 & 4 & 7.47 & 4.67 \
\text { Within (error) } & 72.00 & 45 & 1.6 & \
\text { Total } & 121.44 & 53 & &
\end{array}$

$\text { The critical value for the } \mathrm{F} \text { test using } \alpha=.05 \text {, d.f.N. }=2 \text {, and d.f.D }=45 \text { is } 3.20 \text {. Then: }$

Accepted Answer

A)  The null hypothesis concerning Factor A should be rejected 
B)  The null hypothesis concerning Factor B should be rejected 
C)  The null hypothesis concerning Factor A and the Interaction (Ax
B)  effect should be rejected 
D)  All of the null hypotheses should be accepted 
A)  The null hypothesis concerning Factor A should be rejected 
B)  The null hypothesis concerning Factor B should be rejected 
C)  The null hypothesis concerning Factor A and the Interaction (Ax
B)  effect should be rejected 
D)  All of the null hypotheses should be accepted

Question 5

Which of the following assumptions does not apply to the two-way ANOVA?

Accepted Answer

A)  The populations from which the samples are obtained must be normally or approximately normally distributed. 
B)  The samples must be independent of each other. 
C)  The means of the populations must be equal. 
D)  The groups must be equal in sample size. 
A)  The populations from which the samples are obtained must be normally or approximately normally distributed. 
B)  The samples must be independent of each other. 
C)  The means of the populations must be equal. 
D)  The groups must be equal in sample size.

Question 6

Is there a significant difference between the means for vending machines A, B, and C?

Accepted Answer

A)  Yes, there is a significant difference between the means. 
B)  No, there is no significant difference between the means. 
C)  The F-test cannot be used to answer whether or not there is a significant difference between the means. 
D) The Scheffé test needs to be performed in order to determine whether or not there is a significant difference between the means. 
A)  Yes, there is a significant difference between the means. 
B)  No, there is no significant difference between the means. 
C)  The F-test cannot be used to answer whether or not there is a significant difference between the means. 
D) The Scheffé test needs to be performed in order to determine whether or not there is a significant difference between the means.

Question 7

An experiment has been designed to study the effectiveness of a new diet on weight gain for use with
anorexic individuals. The diet is available in both a solid and a liquid form.
The two new diets and a standard control diet were randomly assigned to 15 women and 15 men. Thus,
each of the 3 diets was assigned to 5 men and 5 women. The weight gains attained after 12 weeks were
recorded for each of the participants and the corresponding averages are summarized in the following 
   B B'
-The degrees of freedom for the interaction between diet and gender are:

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
A)  1 
B)  2 
C)  3 
D)  4

Question 8

$$\begin{array} { l } 
\text { A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of cofee . The data are given below . } \

\end{array}$$

$\begin{array}{ccc}
\hline \text { Machime A } & \text { Machune B } & \text { Machúe } \mathrm{C} \
\hline 11.8 & 11.7 & 12.2 \
12.1 & 11.9 & 12.1 \
12.0 & 11.7 & 12.0 \
11.9 & 11.8 & 11.9 \
12.1 & 120 & 12.2 \
\hline
\end{array}$
-What is the F-value for the coffee machines?

Accepted Answer

A)  2.25 
B)  5.06 
C)  6.62 
D)  4.86 
A)  2.25 
B)  5.06 
C)  6.62 
D)  4.86

Question 9

Assuming that there is a significant difference between the means of the three coffee machines, what would the critical value be for the Tukey test at $\alpha = 0.05$ ?

Accepted Answer

A)  3.70 
B)  3.08 
C)  3.77 
D)  3.73 
A)  3.70 
B)  3.08 
C)  3.77 
D)  3.73

Question 10

Complete the formula for the Tukey test: $q =$

Accepted Answer

A) 
  
B) 
$\frac{n 1 s_{i}^{2}}{n 1}$ 
C)  $\frac { \bar { X } _ { i } \bar { X } _ { f } { } ^ { 2 } } { s _ { w } ^ { 2 } 1 / n - 1 / n _ { j } }$ 
D)  $\frac { \bar { X } _ { t } - \bar { X } _ { f } } { \sqrt { s _ { w } ^ { 2 } } / n }$ 
A) 
  
B) 
$\frac{n 1 s_{i}^{2}}{n 1}$ 
C)  $\frac { \bar { X } _ { i } \bar { X } _ { f } { } ^ { 2 } } { s _ { w } ^ { 2 } 1 / n - 1 / n _ { j } }$ 
D)  $\frac { \bar { X } _ { t } - \bar { X } _ { f } } { \sqrt { s _ { w } ^ { 2 } } / n }$

Question 11

A researcher is comparing 3 groups to test if they have the same means. There are 51 data values altogether. The degrees of freedom for the Between (dfB) and the degrees of freedom for the Within
(dfW) are:

Accepted Answer

A)  dfB = 48, dfW = 50 
B)  dfB = 2, dfW = 48 
C)  dfB = 2, dfW = 50 
D)  dfB = 3, dfW = 50 
A)  dfB = 48, dfW = 50 
B)  dfB = 2, dfW = 48 
C)  dfB = 2, dfW = 50 
D)  dfB = 3, dfW = 50

Question 12

Qualitative independent variables can also be called ______________. 
________________________________________

Accepted Answer

The answer of Qualitative independent variables can also be called...

Question 13

In an Analysis of Variance Summary Table, if the Mean Square Between $= 16$ and the Mean Square Within $= 27$, then the null hypothesis of the groups having the same mean is

Accepted Answer

A)  Accepted because $16 < 27$ 
B)  Rejected because $16 < 27$ 
C)  Cannot be determined without knowing the Sums of Squares (between and within) 
D)  Cannot be determined without knowing the Degrees of Freedom (between and within) 
A)  Accepted because $16 < 27$ 
B)  Rejected because $16 < 27$ 
C)  Cannot be determined without knowing the Sums of Squares (between and within) 
D)  Cannot be determined without knowing the Degrees of Freedom (between and within)

Question 14

In an Analysis of Variance Summary Table, if the Mean Square Between $= 33$ and the Mean Square Within $= 29$, then the null hypothesis of the groups having the same mean is

Accepted Answer

A)  Accepted because $33 > 29$ 
B)  Rejected because $33 > 29$ 
C)  Cannot be determined without knowing the Sums of Squares (between and within) 
D)  Cannot be determined without knowing the Degrees of Freedom (between and within) 
A)  Accepted because $33 > 29$ 
B)  Rejected because $33 > 29$ 
C)  Cannot be determined without knowing the Sums of Squares (between and within) 
D)  Cannot be determined without knowing the Degrees of Freedom (between and within)

Question 15

If a researcher wanted to compare the F-value with the critical value for F at $$a = 0.05$$ , what would that critical F be?

Accepted Answer

A)  3.70 
B)  3.08 
C)  3.89 
D)  3.73 
A)  3.70 
B)  3.08 
C)  3.89 
D)  3.73

Question 16

If the means of four different groups were compared at $a = 0.05$ , and the critical value of the F-test was 3.96, the critical value for the Scheffé test would be 15.84.

Accepted Answer

A) True 
 B)False

Question 17

In a two-way ANOVA design, variable A has four levels and variable B has two levels. There are eight
data values in each cell. What is the d.f.N. for factor B?

Accepted Answer

The answer of In a two-way ANOVA design, variable A...

Question 18

Each independent variable investigated could have two or more different treatments or
______________. 
________________________________________
e

Accepted Answer

The answer of Each independent variable investigated could have two...

Question 19

The between-group variance and the error variance are sometimes referred to as:

Accepted Answer

A)  ANOVA summary table 
B)  mean squares 
C)  main effects 
D)  interaction effects 
A)  ANOVA summary table 
B)  mean squares 
C)  main effects 
D)  interaction effects

Question 20

If the figure below is the result of a two-way ANOVA, which of the following statements would apply?

Accepted Answer

A)  There is no significant interaction effect. 
B)  There is a significant interaction effect. 
C)  The main effects should not be interpreted without considering the interaction effect. 
D)  The graph does not give any indication of whether or not there is an interaction effect. 
A)  There is no significant interaction effect. 
B)  There is a significant interaction effect. 
C)  The main effects should not be interpreted without considering the interaction effect. 
D)  The graph does not give any indication of whether or not there is an interaction effect.

When performing an F-test, if the means differ significantly, the between-group variance will be much smaller than the within-group variance.

The ANOVA technique is an abbreviation for the following term:

Which of the following assumptions does not apply to the two-way ANOVA?

Is there a significant difference between the means for vending machines A, B, and C?

Assuming that there is a significant difference between the means of the three coffee machines, what would the critical value be for the Tukey test at $\alpha = 0.05$ ?

Complete the formula for the Tukey test: $q =$

A researcher is comparing 3 groups to test if they have the same means. There are 51 data values altogether. The degrees of freedom for the Between (dfB) and the degrees of freedom for the Within (dfW) are:

Qualitative independent variables can also be called . __________________________

In an Analysis of Variance Summary Table, if the Mean Square Between $= 16$ and the Mean Square Within $= 27$ , then the null hypothesis of the groups having the same mean is

In an Analysis of Variance Summary Table, if the Mean Square Between $= 33$ and the Mean Square Within $= 29$ , then the null hypothesis of the groups having the same mean is

If a researcher wanted to compare the F-value with the critical value for F at $a = 0.05$ , what would that critical F be?

If the means of four different groups were compared at $a = 0.05$ , and the critical value of the F-test was 3.96, the critical value for the Scheffé test would be 15.84.

In a two-way ANOVA design, variable A has four levels and variable B has two levels. There are eight data values in each cell. What is the d.f.N. for factor B?

Each independent variable investigated could have two or more different treatments or . __________________________ e

The between-group variance and the error variance are sometimes referred to as:

If the figure below is the result of a two-way ANOVA, which of the following statements would apply?

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Data Bank

Glossary

Filters

Exam 11: Tables

When performing an F-test, if the means differ significantly, the between-group variance will be much smaller than the within-group variance.

The ANOVA technique is an abbreviation for the following term:

Which of the following assumptions does not apply to the two-way ANOVA?

Is there a significant difference between the means for vending machines A, B, and C?

Assuming that there is a significant difference between the means of the three coffee machines, what would the critical value be for the Tukey test at α=0.05\alpha = 0.05α=0.05 ?

Complete the formula for the Tukey test: q=q =q=

A researcher is comparing 3 groups to test if they have the same means. There are 51 data values altogether. The degrees of freedom for the Between (dfB) and the degrees of freedom for the Within (dfW) are:

Qualitative independent variables can also be called ______________. ________________________________________

In an Analysis of Variance Summary Table, if the Mean Square Between =16= 16=16 and the Mean Square Within =27= 27=27 , then the null hypothesis of the groups having the same mean is

In an Analysis of Variance Summary Table, if the Mean Square Between =33= 33=33 and the Mean Square Within =29= 29=29 , then the null hypothesis of the groups having the same mean is

If a researcher wanted to compare the F-value with the critical value for F at a=0.05a = 0.05a=0.05 , what would that critical F be?

If the means of four different groups were compared at a=0.05a = 0.05a=0.05 , and the critical value of the F-test was 3.96, the critical value for the Scheffé test would be 15.84.

In a two-way ANOVA design, variable A has four levels and variable B has two levels. There are eight data values in each cell. What is the d.f.N. for factor B?

Each independent variable investigated could have two or more different treatments or ______________. ________________________________________ e

The between-group variance and the error variance are sometimes referred to as:

If the figure below is the result of a two-way ANOVA, which of the following statements would apply?

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Data Bank

Glossary

Filters

Assuming that there is a significant difference between the means of the three coffee machines, what would the critical value be for the Tukey test at $\alpha = 0.05$ ?

Complete the formula for the Tukey test: $q =$

Qualitative independent variables can also be called . __________________________

In an Analysis of Variance Summary Table, if the Mean Square Between $= 16$ and the Mean Square Within $= 27$ , then the null hypothesis of the groups having the same mean is

In an Analysis of Variance Summary Table, if the Mean Square Between $= 33$ and the Mean Square Within $= 29$ , then the null hypothesis of the groups having the same mean is

If a researcher wanted to compare the F-value with the critical value for F at $a = 0.05$ , what would that critical F be?

If the means of four different groups were compared at $a = 0.05$ , and the critical value of the F-test was 3.96, the critical value for the Scheffé test would be 15.84.

Each independent variable investigated could have two or more different treatments or . __________________________ e