Question 1

If our F (obtained) exceeds the F (critical), we

Accepted Answer

A)  reject the null 
B)  accept the null 
C)  must recompute since this is mathematically impossible 
D)  reject the research hypothesis 
A)  reject the null 
B)  accept the null 
C)  must recompute since this is mathematically impossible 
D)  reject the research hypothesis A

Question 2

In the ANOVA test, if the null hypothesis is false, the means of the different sample should be _____________ and the standard deviation of the different samples should be ____________ .

Accepted Answer

A)  similar in value … large in value 
B)  close to zero … equal to their respective variances 
C)  very different … lower in value then the means 
D)  very different in value … relatively low in value 
A)  similar in value … large in value 
B)  close to zero … equal to their respective variances 
C)  very different … lower in value then the means 
D)  very different in value … relatively low in value D

Question 3

A researcher has analyzed differences in average College Board scores for random samples of students from four different colleges. The obtained F score is 0.45. What can be concluded about the null hypothesis?

Accepted Answer

A)  Nothing, more information is needed 
B)  Reject the null hypothesis, the differences did not occur by random chance 
C)  Fail to reject the null hypothesis, differences are not statistically significant 
D)  Fail to reject the null hypothesis, differences are statistically significant 
A)  Nothing, more information is needed 
B)  Reject the null hypothesis, the differences did not occur by random chance 
C)  Fail to reject the null hypothesis, differences are not statistically significant 
D)  Fail to reject the null hypothesis, differences are statistically significant C

Question 4

In the ANOVA test, the symbol 'dfw' refers to

Accepted Answer

A)  the mean square estimate within 
B)  degrees of freedom associated with SSW 
C)  degrees forward without 
D)  degrees of fullness, within estimate 
A)  the mean square estimate within 
B)  degrees of freedom associated with SSW 
C)  degrees forward without 
D)  degrees of fullness, within estimate

Question 5

A useful computational shortcut for the ANOVA test is expressed as

Accepted Answer

A)  SST = SSB/SSW 
B)  dfw = dfb + SST 
C)  SSW = SST - SSB 
D)  SSB = SSW - SST 
A)  SST = SSB/SSW 
B)  dfw = dfb + SST 
C)  SSW = SST - SSB 
D)  SSB = SSW - SST

Question 6

The ANOVA test uses means and standard deviations to compare the amount of variation ______________ with the amount of variation ______________ .

Accepted Answer

A)  within categories … between categories 
B)  above categories … below categories 
C)  within sample means … between sample means 
D)  within sample standard deviations … between sample standard deviations 
A)  within categories … between categories 
B)  above categories … below categories 
C)  within sample means … between sample means 
D)  within sample standard deviations … between sample standard deviations

Question 7

One limitation of the ANOVA test is that it requires

Accepted Answer

A)  nominal level dependent variables 
B)  ordinal level independent variables 
C)  very small samples 
D)  an interval-ratio dependent variable 
A)  nominal level dependent variables 
B)  ordinal level independent variables 
C)  very small samples 
D)  an interval-ratio dependent variable

Question 8

If we fail to reject the null hypothesis in a test using analysis of variance, we are concluding that

Accepted Answer

A)  the populations from which our samples come are the same 
B)  the samples are dependent 
C)  the population variances are the different 
D)  the sample means are different 
A)  the populations from which our samples come are the same 
B)  the samples are dependent 
C)  the population variances are the different 
D)  the sample means are different

Question 9

In the ANOVA test, if the null hypothesis is true

Accepted Answer

A)  the sample standard deviations should be zero 
B)  the sample means should be roughly equal in value 
C)  the population means should be very different from each other 
D)  alpha should be less than zero 
A)  the sample standard deviations should be zero 
B)  the sample means should be roughly equal in value 
C)  the population means should be very different from each other 
D)  alpha should be less than zero

Question 10

One limitation of ANOVA is that, when the null hypothesis is rejected, the test

Accepted Answer

A)  does not tell us which sample mean(s) is/are different 
B)  tells us nothing about the standard deviations 
C)  does not tell us which population variances are zero 
D)  does not tell us which population variances are greater than zero 
A)  does not tell us which sample mean(s) is/are different 
B)  tells us nothing about the standard deviations 
C)  does not tell us which population variances are zero 
D)  does not tell us which population variances are greater than zero

Question 11

The total sum of squares (SST) is found by finding the sum of the squared _____ and then subtracting the mean-squared times ____ .

Accepted Answer

A)  deviations … s 
B)  deviations … N 
C)  scores … N 
D)  scores … s 
A)  deviations … s 
B)  deviations … N 
C)  scores … N 
D)  scores … s

Question 12

A null hypothesis that states "the population means are equal" would be appropriate for which of the following tests of significance?

Accepted Answer

A)  chi square 
B)  tests of proportions 
C)  ANOVA 
D)  Fisher's Exact test 
A)  chi square 
B)  tests of proportions 
C)  ANOVA 
D)  Fisher's Exact test

Question 13

In the ANOVA test, degrees of freedom within (dfw) are equal to (N - k) and degrees of freedom between (dfb) are equal to ____.

Accepted Answer

A)  (N - k) 
B)  (k - 1) 
C)  (N + k) 
D)  (k - N) 
A)  (N - k) 
B)  (k - 1) 
C)  (N + k) 
D)  (k - N)

Question 14

Stated generally, the null hypothesis for the ANOVA test is

Accepted Answer

A) $\mu$1 = $\mu$2 = $\mu$3 = ... = $\mu$k 
B)  $\sigma$1 = $\sigma$2 = $\sigma$3 = ... = $\sigma$k 
C)  SST = SSB = SSW 
D)  dfb = dfw 
A) $\mu$1 = $\mu$2 = $\mu$3 = ... = $\mu$k 
B)  $\sigma$1 = $\sigma$2 = $\sigma$3 = ... = $\sigma$k 
C)  SST = SSB = SSW 
D)  dfb = dfw

Question 15

If we reject the null hypothesis in a test using analysis of variance, we are concluding that

Accepted Answer

A)  the populations from which our samples come are different 
B)  the variables are independent 
C)  the population variances are the same 
D)  the sample means are significantly different 
A)  the populations from which our samples come are different 
B)  the variables are independent 
C)  the population variances are the same 
D)  the sample means are significantly different

Question 16

The null hypothesis for ANOVA states that

Accepted Answer

A)  the variables are independent 
B)  the variables are related 
C)  the population means are equal 
D)  the population means are different 
A)  the variables are independent 
B)  the variables are related 
C)  the population means are equal 
D)  the population means are different

Question 17

In the ANOVA test, what assumption must be made with regard to the population variances?

Accepted Answer

A)  they are equal 
B)  they are unequal 
C)  they are both less than zero 
D)  they are equal to each other and to zero 
A)  they are equal 
B)  they are unequal 
C)  they are both less than zero 
D)  they are equal to each other and to zero

Question 18

In a test using ANOVA, the average ages of three different samples are 37.56, 37.57, 37.58. This pattern would be consistent with the assumption that the

Accepted Answer

A)  null hypothesis is false 
B)  null hypothesis is true 
C)  research hypothesis is false 
D)  sample standard deviations approach zero 
A)  null hypothesis is false 
B)  null hypothesis is true 
C)  research hypothesis is false 
D)  sample standard deviations approach zero

Question 19

Very large random samples of Catholics, Protestants, and people with no religious affiliation have been questioned about their opinions on capital punishment. On a ten point scale, the Protestants average 6.9, the Catholics averaged 7.0, and people with no religious affiliation averaged 7.1. These differences were tested by ANOVA and found to be statistically significant. What is the most reasonable conclusion?

Accepted Answer

A)  This is a statistically significant and important difference 
B)  This difference may be statistically significant but it seems unimportant 
C)  This difference is due to random chance 
D)  The researcher should have used sample means rather than proportions in this situation 
A)  This is a statistically significant and important difference 
B)  This difference may be statistically significant but it seems unimportant 
C)  This difference is due to random chance 
D)  The researcher should have used sample means rather than proportions in this situation

Question 20

ANOVA may be thought of as an extension of the ______________

Accepted Answer

A)  confidence interval estimation procedure 
B)  t test for the significance of the difference between two sample proportions 
C)  t test for the significance of the difference between two sample means 
D)  t test for the significance of the difference between two matched samples 
A)  confidence interval estimation procedure 
B)  t test for the significance of the difference between two sample proportions 
C)  t test for the significance of the difference between two sample means 
D)  t test for the significance of the difference between two matched samples

If our F (obtained) exceeds the F (critical), we

In the ANOVA test, if the null hypothesis is false, the means of the different sample should be _ and the standard deviation of the different samples should be .

A researcher has analyzed differences in average College Board scores for random samples of students from four different colleges. The obtained F score is 0.45. What can be concluded about the null hypothesis?

In the ANOVA test, the symbol 'dfw' refers to

A useful computational shortcut for the ANOVA test is expressed as

The ANOVA test uses means and standard deviations to compare the amount of variation with the amount of variation .

One limitation of the ANOVA test is that it requires

If we fail to reject the null hypothesis in a test using analysis of variance, we are concluding that

In the ANOVA test, if the null hypothesis is true

One limitation of ANOVA is that, when the null hypothesis is rejected, the test

The total sum of squares (SST) is found by finding the sum of the squared _ and then subtracting the mean-squared times .

A null hypothesis that states "the population means are equal" would be appropriate for which of the following tests of significance?

In the ANOVA test, degrees of freedom within (dfw) are equal to (N - k) and degrees of freedom between (dfb) are equal to ____.

Stated generally, the null hypothesis for the ANOVA test is

If we reject the null hypothesis in a test using analysis of variance, we are concluding that

The null hypothesis for ANOVA states that

In the ANOVA test, what assumption must be made with regard to the population variances?

In a test using ANOVA, the average ages of three different samples are 37.56, 37.57, 37.58. This pattern would be consistent with the assumption that the

ANOVA may be thought of as an extension of the ______________

Introduction

Basic Descriptive Statistics Percentages, Ratios Rates, Tables, Charts Graphs

Measures of Central Tendency

Measures of Dispersion

The Normal Curve

Introduction to Inferential Statistics Sampling the Sampling Distribution

Hypothesis Testing I the One-Sample Case

Hypothesis Testing II the Two-Sample Case

Hypothesis Testing Iv Chi Square

Bivariate Association for Nominal- and Ordinal-Level Variables

Association Between Variables Measured at the Interval-Ratio Level

Partial Correlation and

Filters

Exam 9: Hypothesis Testing III: the Analysis of Variance

If our F (obtained) exceeds the F (critical), we

In the ANOVA test, if the null hypothesis is false, the means of the different sample should be _____________ and the standard deviation of the different samples should be ____________ .

A researcher has analyzed differences in average College Board scores for random samples of students from four different colleges. The obtained F score is 0.45. What can be concluded about the null hypothesis?

In the ANOVA test, the symbol 'dfw' refers to

A useful computational shortcut for the ANOVA test is expressed as

The ANOVA test uses means and standard deviations to compare the amount of variation ______________ with the amount of variation ______________ .

One limitation of the ANOVA test is that it requires

If we fail to reject the null hypothesis in a test using analysis of variance, we are concluding that

In the ANOVA test, if the null hypothesis is true

One limitation of ANOVA is that, when the null hypothesis is rejected, the test

The total sum of squares (SST) is found by finding the sum of the squared _____ and then subtracting the mean-squared times ____ .

A null hypothesis that states "the population means are equal" would be appropriate for which of the following tests of significance?

In the ANOVA test, degrees of freedom within (dfw) are equal to (N - k) and degrees of freedom between (dfb) are equal to ____.

Stated generally, the null hypothesis for the ANOVA test is

If we reject the null hypothesis in a test using analysis of variance, we are concluding that

The null hypothesis for ANOVA states that

In the ANOVA test, what assumption must be made with regard to the population variances?

In a test using ANOVA, the average ages of three different samples are 37.56, 37.57, 37.58. This pattern would be consistent with the assumption that the

ANOVA may be thought of as an extension of the ______________

Introduction

Basic Descriptive Statistics Percentages, Ratios Rates, Tables, Charts Graphs

Measures of Central Tendency

Measures of Dispersion

The Normal Curve

Introduction to Inferential Statistics Sampling the Sampling Distribution

Hypothesis Testing I the One-Sample Case

Hypothesis Testing II the Two-Sample Case

Hypothesis Testing Iv Chi Square

Bivariate Association for Nominal- and Ordinal-Level Variables

Association Between Variables Measured at the Interval-Ratio Level

Partial Correlation and

Filters

In the ANOVA test, if the null hypothesis is false, the means of the different sample should be _ and the standard deviation of the different samples should be .

The ANOVA test uses means and standard deviations to compare the amount of variation with the amount of variation .

The total sum of squares (SST) is found by finding the sum of the squared _ and then subtracting the mean-squared times .