Question 1

In the randomized block design,what benefit is gained from blocking?

Accepted Answer

Blocking allows for a better c

Question 2

Music
A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: $$\begin{array}{l}
\text { Music (B) }\
\begin{array} { | c | c c | c | } 
\hline \begin{array} { c } 
\text { Assembly } \
\text { Method (A) }
\end{array} & \text { Classical } & \text { Rock } & \text { Means } \
\hline 1 & 36,32 & 49,47 & 41 \
2 & 28,32 & 44,40 & 36 \
\hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \
\hline
\end{array}
\end{array}$$
-What is the computed value for Factor A (assembly method)mean square (MSA)?

Accepted Answer

The answer of Music
A study to examine the effect of...

Question 3

An assumption of the ANOVA model is that the population distributions are normal.

Accepted Answer

A) True 
 B)False

Question 4

Music
A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: $$\begin{array}{l}
\text { Music (B) }\
\begin{array} { | c | c c | c | } 
\hline \begin{array} { c } 
\text { Assembly } \
\text { Method (A) }
\end{array} & \text { Classical } & \text { Rock } & \text { Means } \
\hline 1 & 36,32 & 49,47 & 41 \
2 & 28,32 & 44,40 & 36 \
\hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \
\hline
\end{array}
\end{array}$$
-Test for the main effects of factor B at the 5% significance level.

Accepted Answer

H₀: @#LAT-DLM&_i = 0 (No leve

Question 5

The two-way ANOVA examines the main effects of the levels of both factors as well as interaction effects associated with the combinations of their levels.

Accepted Answer

A) True 
 B)False

Question 6

Music
A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: $$\begin{array}{l}
\text { Music (B) }\
\begin{array} { | c | c c | c | } 
\hline \begin{array} { c } 
\text { Assembly } \
\text { Method (A) }
\end{array} & \text { Classical } & \text { Rock } & \text { Means } \
\hline 1 & 36,32 & 49,47 & 41 \
2 & 28,32 & 44,40 & 36 \
\hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \
\hline
\end{array}
\end{array}$$
-What is the computed value for the error mean square (MSE)?

Accepted Answer

The answer of Music
A study to examine the effect of...

Question 7

Alumni clubs
Three alumni clubs for a university have members who contribute to the university athletic program.The amount of contribution (in dollars)for six contributors randomly selected from each city to test the hypothesis that the mean contribution is the same among alumni clubs is given below,followed by the total for each city: $$\begin{array} { | l | l | l | } 
\hline { \text { Banks } } &  { \text { Business Services } } &  { \text { Construction } } \
\hline n _ { 1 } = 7 & n _ { 2 } = 7 & n _ { 3 } = 7 \
\bar { x } _ { 1 } = 41 & \bar { x } _ { 2 } = 30 & \bar { x } _ { 3 } = 24 \
\sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { 1 } - \bar { x } _ { 1 } \right) ^ { 2 } = 882 & \sum _ { i = 1 } ^ { n _ { 2 } } \left( x _ { i 2 } - \bar { x } _ { 2 } \right) ^ { 2 } = 1266 & \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { i 3 } - \bar { x } _ { 3 } \right) ^ { 2 } = 582 \
\hline
\end{array}$$
-What is the number of the error degrees of freedom?

Accepted Answer

The answer of Alumni clubs
Three alumni clubs for a university...

Question 8

Test Statistic  
-A(n)____________________ variable is the variable for which a value is measured or observed.

Accepted Answer

The answer of Test Statistic  
-A(n)____________________ variable is the...

Question 9

Test Statistic  
-What is the critical F for the 0.05 level for the main effects test,Factor A?

Accepted Answer

The answer of Test Statistic  
-What is the critical...

Question 10

In ANOVA,the independent variable must be quantitative.

Accepted Answer

A) True 
 B)False

Question 11

Shelf Level
Shelf height may affect the volume of sales for a product.In order to determine whether or not there is any effect on average sales due to product shelf height,a marketing consultant chooses four typical outlets,a supermarket,a drug store,a discount store,and a variety store,and for one week places the product chosen at one eye level.A resting week follows and the product is moved to another height and so on for three different heights.The number of units sold per week at each location and height are: $$\begin{array}{l}
\text { Shelf Level }\
\begin{array} { | l | c c c | } 
\hline \text { Store } & \text { Above } & \text { Even } & \text { Below } \
\hline \text { Discount } & 54 & 55 & 49 \
\text { Supermarket } & 63 & 60 & 56 \
\text { Drug Store } & 52 & 52 & 47 \
\text { Variety } & 44 & 48 & 41 \
\hline
\end{array}
\end{array}$$
-Test the following hypotheses at the 5% significance level:
H0: Mean sales of stores are equal
H1: Mean sales of stores are not equal
Test statistic = ____________________ = ____________________
Critical Value = ____________________
Conclusion: ________________________
Interpretation: _______________________________________

Accepted Answer

Critical value: F(0.05,3,6)= 4

Question 12

In ANOVA,if the calculated F-statistic exceeds the critical F for a given test,the null hypothesis of equal population means is rejected.

Accepted Answer

A) True 
 B)False

Question 13

In employing the randomized block design,the expected effect is to:

Accepted Answer

A)  increase the treatment sum of squares (SSTR). 
B)  reduce the error sum of squares (SS
E) . 
C)  improve the significance of any differences within the treatment groups. 
D)  reduce the total sum of squares (SST). 
E)  increase the error sum of squares (SS
E) . 
A)  increase the treatment sum of squares (SSTR). 
B)  reduce the error sum of squares (SS
E) . 
C)  improve the significance of any differences within the treatment groups. 
D)  reduce the total sum of squares (SST). 
E)  increase the error sum of squares (SS
E) .

Question 14

Annuity
A large annuity company holds many industry group stocks.Among the industries are banks,business services and construction.Seven companies from each industry group are randomly sampled to test the hypothesis that the mean price per share is the same among industries.The data are: $$\begin{array} { | l | l | l | } 
\hline  { \text { Banks } } & { \text { Business Services } } & { \text { Construction } } \
\hline n _ { 1 } = 7 & n _ { 2 } = 7 & n _ { 3 } = 7 \
\bar { x } _ { 1 } = 41 & \bar { x } _ { 2 } = 30 & \bar { x } _ { 3 } = 24 \
\sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { 1 } - \bar { x } _ { 1 } \right) ^ { 2 } = 882 & \sum _ { i = 1 } ^ { n _ { 2 } } \left( x _ { i 2 } - \bar { x } _ { 2 } \right) ^ { 2 } = 1266 & \sum _ { i = 1 } ^ { n _ { 1 } } \left( x _ { i 3 } - \bar { x } _ { 3 } \right) ^ { 2 } = 582 \
\hline
\end{array}$$
-Compute the mean square error (MSE).

Accepted Answer

The answer of Annuity
A large annuity company holds many industry...

Question 15

When the effect of a level for one factor depends on which level of the other factor is present,use:

Accepted Answer

A)  one-way analysis of variance. 
B)  randomized block design. 
C)  two-way analysis of variance. 
D)  simple regression model. 
E)  paired sample model. 
A)  one-way analysis of variance. 
B)  randomized block design. 
C)  two-way analysis of variance. 
D)  simple regression model. 
E)  paired sample model.

Question 16

The ANOVA model requires that the sample size for each treatment be equal.

Accepted Answer

A) True 
 B)False

Question 17

Lighting
A study to examine the effect of lighting type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: $$\begin{array}{l}
\text { Lighting (B) }\
\begin{array} { | c | c c | c | } 
\hline \begin{array} { c } 
\text { Assembly } \
\text { Method } ( \text { A } )
\end{array} & \text { Fluorescent } & \text { Incandescent } & \text { Means } \
\hline 1 & 49,32 & 42,45 & 42 \
2 & 37,30 & 45,32 & 36 \
\hline \text { Means } & 37 & 41 & 39 \text { Grand Mean } \
\hline
\end{array}
\end{array}$$
-What is the computed value for Factor B (lighting)sum of squares (SSB)?

Accepted Answer

The answer of Lighting
A study to examine the effect of...

Question 18

The equation: SST = SSA + SSB + SSAB + SSE,applies to which ANOVA model?

Accepted Answer

A)  One-way ANOVA 
B)  Two-way ANOVA 
C)  Randomized block design 
D)  All of these 
A)  One-way ANOVA 
B)  Two-way ANOVA 
C)  Randomized block design 
D)  All of these

Question 19

Music
A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: $$\begin{array}{l}
\text { Music (B) }\
\begin{array} { | c | c c | c | } 
\hline \begin{array} { c } 
\text { Assembly } \
\text { Method (A) }
\end{array} & \text { Classical } & \text { Rock } & \text { Means } \
\hline 1 & 36,32 & 49,47 & 41 \
2 & 28,32 & 44,40 & 36 \
\hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \
\hline
\end{array}
\end{array}$$
-What are the degrees of freedom for the error sum of squares?

Accepted Answer

The answer of Music
A study to examine the effect of...

Question 20

Music
A study to examine the effect of music type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: $$\begin{array}{l}
\text { Music (B) }\
\begin{array} { | c | c c | c | } 
\hline \begin{array} { c } 
\text { Assembly } \
\text { Method (A) }
\end{array} & \text { Classical } & \text { Rock } & \text { Means } \
\hline 1 & 36,32 & 49,47 & 41 \
2 & 28,32 & 44,40 & 36 \
\hline \text { Means } & 32 & 45 & 38.5 \text { Overall Mean } \
\hline
\end{array}
\end{array}$$
-What is the computed value for Factor A (assembly method)sum of squares (SSA)?

Accepted Answer

The answer of Music
A study to examine the effect of...

In the randomized block design,what benefit is gained from blocking?

An assumption of the ANOVA model is that the population distributions are normal.

The two-way ANOVA examines the main effects of the levels of both factors as well as interaction effects associated with the combinations of their levels.

Test Statistic -A(n)____________________ variable is the variable for which a value is measured or observed.

Test Statistic -What is the critical F for the 0.05 level for the main effects test,Factor A?

In ANOVA,the independent variable must be quantitative.

In ANOVA,if the calculated F-statistic exceeds the critical F for a given test,the null hypothesis of equal population means is rejected.

In employing the randomized block design,the expected effect is to:

When the effect of a level for one factor depends on which level of the other factor is present,use:

The ANOVA model requires that the sample size for each treatment be equal.

The equation: SST = SSA + SSB + SSAB + SSE,applies to which ANOVA model?

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

Exam 12: Analysis of Variance Tests

In the randomized block design,what benefit is gained from blocking?

An assumption of the ANOVA model is that the population distributions are normal.

The two-way ANOVA examines the main effects of the levels of both factors as well as interaction effects associated with the combinations of their levels.

Test Statistic -A(n)____________________ variable is the variable for which a value is measured or observed.

Test Statistic -What is the critical F for the 0.05 level for the main effects test,Factor A?

In ANOVA,the independent variable must be quantitative.

In ANOVA,if the calculated F-statistic exceeds the critical F for a given test,the null hypothesis of equal population means is rejected.

In employing the randomized block design,the expected effect is to:

When the effect of a level for one factor depends on which level of the other factor is present,use:

The ANOVA model requires that the sample size for each treatment be equal.

The equation: SST = SSA + SSB + SSAB + SSE,applies to which ANOVA model?

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters