Question 1

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

Accepted Answer

A) True 
 B)False

Question 2

The variable of interest in an experiment is referred to as the __________ variable.

Accepted Answer

A)  categorical 
B)  regression 
C)  response 
D)  factor 
A)  categorical 
B)  regression 
C)  response 
D)  factor

Question 3

ANOVA table   The Excel/MegaStat 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.At a significance level of .05,the null hypothesis for the ANOVA F test is rejected.Analysis of the Tukey simultaneous confidence intervals shows that at the significance level (experimentwise)of .05,we would conclude that

Accepted Answer

A)  all four brands of vacuum cleaners differ from each other in terms of their performance. 
B)  brand 1 differs from brand 2,and brand 2 differs from brand 3,while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance. 
C)  brand 1 differs from brand 2,and brand 3 differs from brands 1,2,and 4,while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance. 
D)  only brand 3 differs from the other three brands (brands 1,2,and 3),while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance. 
E)  none of the four brands of vacuum cleaners differ from each other in terms of their performance. 
A)  all four brands of vacuum cleaners differ from each other in terms of their performance. 
B)  brand 1 differs from brand 2,and brand 2 differs from brand 3,while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance. 
C)  brand 1 differs from brand 2,and brand 3 differs from brands 1,2,and 4,while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance. 
D)  only brand 3 differs from the other three brands (brands 1,2,and 3),while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance. 
E)  none of the four brands of vacuum cleaners differ from each other in terms of their performance.

Question 4

In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

Accepted Answer

A) True 
 B)False

Question 5

If factors being studied cannot be controlled,the data are said to be observational.

Accepted Answer

A) True 
 B)False

Question 6

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

Accepted Answer

A) True 
 B)False

Question 7

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

Accepted Answer

A) True 
 B)False

Question 8

When computing a confidence interval for the difference between two means,the width of the (1 − α)confidence interval based on the Tukey procedure will be __________ the width of the (1 − α)individual confidence interval based on the t statistic.

Accepted Answer

A)  greater than 
B)  less than 
C)  the same as 
D)  sometimes greater than,sometimes less than 
A)  greater than 
B)  less than 
C)  the same as 
D)  sometimes greater than,sometimes less than

Question 9

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 degrees of freedom for treatments?

Accepted Answer

Treatment

Question 10

When we compute 100(1 − α)confidence intervals,the value of α is called the

Accepted Answer

A)  comparisonwise error rate. 
B)  Tukey simultaneous error rate. 
C)  experimentwise error rate. 
D)  pairwise error rate. 
A)  comparisonwise error rate. 
B)  Tukey simultaneous error rate. 
C)  experimentwise error rate. 
D)  pairwise error rate.

Question 11

The 95 percent individual confidence interval for μ1 − μ2 (treatment mean 1 − treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ1 − μ2.

Accepted Answer

A) True 
 B)False

Question 12

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as

Accepted Answer

A)  the variability among the groups decreases relative to the variability within the groups. 
B)  the total variability increases. 
C)  the total variability decreases. 
D)  the variability among the groups increases relative to the variability within the groups. 
A)  the variability among the groups decreases relative to the variability within the groups. 
B)  the total variability increases. 
C)  the total variability decreases. 
D)  the variability among the groups increases relative to the variability within the groups.

Question 13

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the

Accepted Answer

A)  treatment sum of squares. 
B)  error sum of squares. 
C)  sum of squares within-treatment. 
D)  total sum of squares. 
E)  interaction sum of squares. 
A)  treatment sum of squares. 
B)  error sum of squares. 
C)  sum of squares within-treatment. 
D)  total sum of squares. 
E)  interaction sum of squares.

Question 14

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

Accepted Answer

A)  Randomized 
B)  Tukey 
C)  Covariate 
D)  Interacting 
A)  Randomized 
B)  Tukey 
C)  Covariate 
D)  Interacting

Question 15

We have just performed a one-way ANOVA on a given set of data and did not reject the null hypothesis for the ANOVA F test.Assume that we are able to perform a randomized block design ANOVA on the same data.For the randomized block design ANOVA,the null hypothesis for equal treatments will ___________ be rejected.

Accepted Answer

A)  always 
B)  sometimes 
C)  never 
A)  always 
B)  sometimes 
C)  never

Question 16

ANOVA table   The Excel/MegaStat 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.At a significance level of .05,we would

Accepted Answer

A)  not be able to reject the null hypothesis of equal population means. 
B)  reject the null hypothesis of equal population means. 
C)  reject or fail to reject depending on the value of the t statistic. 
D)  not be able to decide whether or not to reject the null hypothesis due to insufficient information. 
A)  not be able to reject the null hypothesis of equal population means. 
B)  reject the null hypothesis of equal population means. 
C)  reject or fail to reject depending on the value of the t statistic. 
D)  not be able to decide whether or not to reject the null hypothesis due to insufficient information.

Question 17

In the randomized block ANOVA,the sum of squares for factor 1 equals

Accepted Answer

A)  SSTO − SS(error)− SS(interaction). 
B)  SSTO − SS(factor 2)− SSE. 
C)  SSTO − SS(interaction)− SS(factor 2). 
D)  SSTO − SS(factor 2). 
E)  SSTO − SS(error). 
A)  SSTO − SS(error)− SS(interaction). 
B)  SSTO − SS(factor 2)− SSE. 
C)  SSTO − SS(interaction)− SS(factor 2). 
D)  SSTO − SS(factor 2). 
E)  SSTO − SS(error).

Question 18

A ___________ design is an experimental design that compares v treatments by using d blocks,where each block is used exactly once to measure the effect of each treatment.

Accepted Answer

A)  one-way ANOVA 
B)  two-way ANOVA 
C)  randomized block 
D)  balanced complete factorial 
A)  one-way ANOVA 
B)  two-way ANOVA 
C)  randomized block 
D)  balanced complete factorial

Question 19

The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

Accepted Answer

A) True 
 B)False

Question 20

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

Accepted Answer

A)  SS Error 
B)  SS Treatment 
C)  SS Total 
D)  SS Treatment/SS Error 
A)  SS Error 
B)  SS Treatment 
C)  SS Total 
D)  SS Treatment/SS Error

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

The variable of interest in an experiment is referred to as the __________ variable.

In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

If factors being studied cannot be controlled,the data are said to be observational.

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

When computing a confidence interval for the difference between two means,the width of the (1 − α)confidence interval based on the Tukey procedure will be __________ the width of the (1 − α)individual confidence interval based on the t statistic.

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 degrees of freedom for treatments?

When we compute 100(1 − α)confidence intervals,the value of α is called the

The 95 percent individual confidence interval for μ₁ − μ₂ (treatment mean 1 − treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ₁ − μ₂.

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

In the randomized block ANOVA,the sum of squares for factor 1 equals

A ___________ design is an experimental design that compares v treatments by using d blocks,where each block is used exactly once to measure the effect of each treatment.

The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

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 for Means and Proportions

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 11: Statistical Inferences for Population Variances

Interaction exists between two factors if the relationship between the mean response and one factor depends on the other factor.

The variable of interest in an experiment is referred to as the __________ variable.

In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

If factors being studied cannot be controlled,the data are said to be observational.

In a 2-way ANOVA,treatment is considered to be a combination of a level of factor 1 and a level of factor 2.

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

When computing a confidence interval for the difference between two means,the width of the (1 − α)confidence interval based on the Tukey procedure will be __________ the width of the (1 − α)individual confidence interval based on the t statistic.

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 degrees of freedom for treatments?

When we compute 100(1 − α)confidence intervals,the value of α is called the

The 95 percent individual confidence interval for μ1 − μ2 (treatment mean 1 − treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ1 − μ2.

When using a completely randomized design (one-way analysis of variance),the calculated F statistic will decrease as

A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the

___________ simultaneous confidence intervals test all of the pairwise differences between means,respectively,while controlling the overall Type I error.

In the randomized block ANOVA,the sum of squares for factor 1 equals

A ___________ design is an experimental design that compares v treatments by using d blocks,where each block is used exactly once to measure the effect of each treatment.

The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

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 for Means and Proportions

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

The 95 percent individual confidence interval for μ₁ − μ₂ (treatment mean 1 − treatment mean 2)will always be smaller than the Tukey 95 percent simultaneous confidence interval for μ₁ − μ₂.