Question 1

Which one of the following is not an assumption of one-way analysis of variance?

Accepted Answer

A) Random selection of samples from each population. 
B) Equality of the population variances. 
C) Equality of the population means. 
D) Samples selected from each treatment population all have normal distributions. 
A) Random selection of samples from each population. 
B) Equality of the population variances. 
C) Equality of the population means. 
D) Samples selected from each treatment population all have normal distributions.

Question 2

Consider the randomized block design with 4 blocks and 3 treatments given above. Test H0: there is no difference between treatment effects at   = .05.

Accepted Answer

A) Reject H0 
B) Fail to reject H0 
A) Reject H0 
B) Fail to reject H0

Question 3

The experiment wise $\alpha$ for the 95% individual confidence interval for   (treatment mean 1 - treatment mean 2)will always be smaller than the experiment wise $\alpha$ for Tukey's 95% simultaneous confidence interval for

Accepted Answer

A) True 
 B)False

Question 4

A balanced complete factorial experiment is an experiment in which we select samples of varying sizes.

Accepted Answer

A) True 
 B)False

Question 5

In one-way ANOVA,the total sum of squares equal to _______________________.

Accepted Answer

A) Treatment SS plus Error SS 
B) Treatment SS minus Error SS 
C) Treatment SS * Error SS 
D) Treatment SS/Error SS 
A) Treatment SS plus Error SS 
B) Treatment SS minus Error SS 
C) Treatment SS * Error SS 
D) Treatment SS/Error SS

Question 6

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.   Determine the degrees of freedom for the blocks.

Accepted Answer

A) 6 
B) 5 
C) 10 
D) 9 
A) 6 
B) 5 
C) 10 
D) 9

Question 7

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the mean square error?

Accepted Answer

A) 3.00 
B) 6.25 
C) 0.83 
D) 1.67 
A) 3.00 
B) 6.25 
C) 0.83 
D) 1.67

Question 8

When using a randomized block design the interaction effect between the block and treatment factors cannot be separated from the error term.

Accepted Answer

A) True 
 B)False

Question 9

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.Looking at a total of 55 companies equally divided among categories groups A,B,C,D,and

Accepted Answer

A) 4,50,54,2.57 
B) 5,49,54,2.41 
C) 5,50,55,2.41 
D) 4,49,53,2.57 
E) Determine degrees of freedom treatment,degrees of freedom error and degrees of freedom total and state the critical value of the F statistic at 
A) 4,50,54,2.57 
B) 5,49,54,2.41 
C) 5,50,55,2.41 
D) 4,49,53,2.57 
E) Determine degrees of freedom treatment,degrees of freedom error and degrees of freedom total and state the critical value of the F statistic at

Question 10

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.   What is the block mean square?

Accepted Answer

A) 8.42 
B) 6.49 
C) 7.95 
D) 7.02 
A) 8.42 
B) 6.49 
C) 7.95 
D) 7.02

Question 11

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Accepted Answer

A) 20 
B) 4 
C) 3 
D) 19 
E) 16 
A) 20 
B) 4 
C) 3 
D) 19 
E) 16

Question 12

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments.   What is the block mean square?

Accepted Answer

A) 353.39 
B) 3180.48 
C) 2477.53 
D) D,318.05 
A) 353.39 
B) 3180.48 
C) 2477.53 
D) D,318.05

Question 13

A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

Accepted Answer

A) True 
 B)False

Question 14

When computing confidence intervals using Tukey's procedure for all possible pairwise comparison of means,the experimentwise error rate will be

Accepted Answer

A) Equal to $\alpha$ 
B) Less than $\alpha$ 
C) Greater than $\alpha$ 
A) Equal to $\alpha$ 
B) Less than $\alpha$ 
C) Greater than $\alpha$

Question 15

When computing a confidence interval for the difference between two means,the width of the (1 - $\alpha$)confidence interval based on Tukey's procedure will be __________ the width of the (1 - $\alpha$)individual confidence interval based on t statistic.

Accepted Answer

A) Greater than 
B) Less than 
C) Same as 
D) Sometimes greater than sometimes less than 
A) Greater than 
B) Less than 
C) Same as 
D) Sometimes greater than sometimes less than

Question 16

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the error?

Accepted Answer

A) 20 
B) 4 
C) 3 
D) 19 
E) 16 
A) 20 
B) 4 
C) 3 
D) 19 
E) 16

Question 17

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degree of freedom for error?

Accepted Answer

A) 6 
B) 8 
C) 2 
D) 12 
A) 6 
B) 8 
C) 2 
D) 12

Question 18

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the block sum of squares?

Accepted Answer

A) 15 
B) 2 
C) 3 
D) 10 
A) 15 
B) 2 
C) 3 
D) 10

Question 19

The Excel/Mega-Stat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners.The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt. What is the total number of observations for all brands of vacuum cleaners (total sample size)?

Accepted Answer

A) 14 
B) 17 
C) 18 
D) 19 
E) 20 
A) 14 
B) 17 
C) 18 
D) 19 
E) 20

Question 20

Find an individual 95 percent confidence interval for   where   C = 51.5,   B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

Accepted Answer

A) (-7.25 -1.35) 
B) (-6.41 -2.19) 
C) (-5.35 -3.25) 
D) (-7.28 -1.32) 
A) (-7.25 -1.35) 
B) (-6.41 -2.19) 
C) (-5.35 -3.25) 
D) (-7.28 -1.32)

Which one of the following is not an assumption of one-way analysis of variance?

Consider the randomized block design with 4 blocks and 3 treatments given above. Test H₀: there is no difference between treatment effects at = .05.

A balanced complete factorial experiment is an experiment in which we select samples of varying sizes.

In one-way ANOVA,the total sum of squares equal to _______________________.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for the blocks.

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the mean square error?

When using a randomized block design the interaction effect between the block and treatment factors cannot be separated from the error term.

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.Looking at a total of 55 companies equally divided among categories groups A,B,C,D,and

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the block mean square?

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the block mean square?

A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

When computing confidence intervals using Tukey's procedure for all possible pairwise comparison of means,the experimentwise error rate will be

When computing a confidence interval for the difference between two means,the width of the (1 - $\alpha$ )confidence interval based on Tukey's procedure will be __________ the width of the (1 - $\alpha$ )individual confidence interval based on t statistic.

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the error?

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degree of freedom for error?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the block sum of squares?

Find an individual 95 percent confidence interval for where _C = 51.5, _B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 11: Experimental Design and Analysis of Variance

Which one of the following is not an assumption of one-way analysis of variance?

Consider the randomized block design with 4 blocks and 3 treatments given above. Test H0: there is no difference between treatment effects at = .05.

The experiment wise α\alphaα for the 95% individual confidence interval for (treatment mean 1 - treatment mean 2)will always be smaller than the experiment wise α\alphaα for Tukey's 95% simultaneous confidence interval for

A balanced complete factorial experiment is an experiment in which we select samples of varying sizes.

In one-way ANOVA,the total sum of squares equal to _______________________.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for the blocks.

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the mean square error?

When using a randomized block design the interaction effect between the block and treatment factors cannot be separated from the error term.

Suppose you are a researcher investigating the annual sales differences among five categories of businesses.Looking at a total of 55 companies equally divided among categories groups A,B,C,D,and

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the block mean square?

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom total?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the block mean square?

A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

When computing confidence intervals using Tukey's procedure for all possible pairwise comparison of means,the experimentwise error rate will be

When computing a confidence interval for the difference between two means,the width of the (1 - α\alphaα )confidence interval based on Tukey's procedure will be __________ the width of the (1 - α\alphaα )individual confidence interval based on t statistic.

Looking at four different diets,a researcher randomly assigned 20 equally overweight women into each of the four diets.What are the degrees of freedom for the error?

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degree of freedom for error?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the block sum of squares?

Find an individual 95 percent confidence interval for where C = 51.5, B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Consider the randomized block design with 4 blocks and 3 treatments given above. Test H₀: there is no difference between treatment effects at = .05.

When computing a confidence interval for the difference between two means,the width of the (1 - $\alpha$ )confidence interval based on Tukey's procedure will be __________ the width of the (1 - $\alpha$ )individual confidence interval based on t statistic.

Find an individual 95 percent confidence interval for where _C = 51.5, _B = 55.8,and MSE = 6.125.There were 4 treatments and 24 observations total and the number of observations were equal in each group.