Question 1

Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?​

Accepted Answer

A) ​large samples and large variance 
B) ​large samples and small variance 
C) ​small samples and large variance 
D) ​small samples and small variance 
A) ​large samples and large variance 
B) ​large samples and small variance 
C) ​small samples and large variance 
D) ​small samples and small variance

Question 2

​If the two samples are the same size,then the pooled variance will equal the average of the two sample variances.

Accepted Answer

A) True 
 B)False

Question 3

One sample has n = 5 scores and the second has n = 10 scores.If the pooled variance for the two sample is 30,then what is the value of the estimated standard error for the sample mean difference?​

Accepted Answer

A) ​The square root of (30/15) 
B) ​The square root of (60/15) 
C) ​The square root of (30/5 + 30/10) 
D) ​The square root of (30/4 + 30/9) 
A) ​The square root of (30/15) 
B) ​The square root of (60/15) 
C) ​The square root of (30/5 + 30/10) 
D) ​The square root of (30/4 + 30/9)

Question 4

​For the independent-measures t statistic,what is the effect of increasing the sample variances?

Accepted Answer

A) ​Increase the likelihood of rejecting H0 and increase measures of effect size. 
B) ​Increase the likelihood of rejecting H0 and decrease measures of effect size. 
C) ​Decrease the likelihood of rejecting H0 and increase measures of effect size. 
D) ​Decrease the likelihood of rejecting H0 and decrease measures of effect size. 
A) ​Increase the likelihood of rejecting H0 and increase measures of effect size. 
B) ​Increase the likelihood of rejecting H0 and decrease measures of effect size. 
C) ​Decrease the likelihood of rejecting H0 and increase measures of effect size. 
D) ​Decrease the likelihood of rejecting H0 and decrease measures of effect size.

Question 5

The problems associated with high variance often can be minimized by transforming the original scores to ranks and then conducting an alternative statistical analysis known as the Mann-Whitney test.​

Accepted Answer

A) True 
 B)False

Question 6

Assuming that there is a 5-point difference between the two sample means,which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?​

Accepted Answer

A) ​large sample sizes and small sample variances 
B) ​large sample sizes and large sample variances 
C) ​small sample sizes and small sample variances 
D) ​small sample sizes and large sample variances 
A) ​large sample sizes and small sample variances 
B) ​large sample sizes and large sample variances 
C) ​small sample sizes and small sample variances 
D) ​small sample sizes and large sample variances

Question 7

An independent-measures research study uses two samples,each with n = 12 participants.If the data produce a t statistic of t = 2.08,then which of the following is the correct decision for a two-tailed hypothesis test?​

Accepted Answer

A) ​Reject the null hypothesis with α = .05 but fail to reject with α = .01 
B) ​Reject the null hypothesis with either α = .05 or α = .01 
C) ​Fail to reject the null hypothesis with either α = .05 or α = .01 
D) ​It cannot be answered without additional information. 
A) ​Reject the null hypothesis with α = .05 but fail to reject with α = .01 
B) ​Reject the null hypothesis with either α = .05 or α = .01 
C) ​Fail to reject the null hypothesis with either α = .05 or α = .01 
D) ​It cannot be answered without additional information.

Question 8

​In an independent-measures hypothesis test,what must be true if t = 0?

Accepted Answer

A) ​The two population means must be equal. 
B) ​The two sample means must be equal. 
C) ​The two sample variances must be equal. 
D) ​The two sample means are not equal. 
A) ​The two population means must be equal. 
B) ​The two sample means must be equal. 
C) ​The two sample variances must be equal. 
D) ​The two sample means are not equal.

Question 9

For an independent-measures study,the width of a confidence interval estimating µ1 - µ2 depends on the size of the difference between M1 and M2.​

Accepted Answer

A) True 
 B)False

Question 10

Two samples,each with n = 8,produce an independent-measures t statistic of t = -2.15.Which of the following decisions is justified for a two-tailed hypothesis test?​

Accepted Answer

A) ​Reject H0 with α = .05 but fail to reject with α = .01. 
B) ​Reject H0 with α = .05 and reject H0 with α = .01. 
C) ​Fail to reject H0 with α = .05 and fail to reject with α = .01. 
D) ​Fail to reject H0 with α = .05 but reject H0 with α = .01. 
A) ​Reject H0 with α = .05 but fail to reject with α = .01. 
B) ​Reject H0 with α = .05 and reject H0 with α = .01. 
C) ​Fail to reject H0 with α = .05 and fail to reject with α = .01. 
D) ​Fail to reject H0 with α = .05 but reject H0 with α = .01.

Question 11

One sample has M = 18 and a second sample has M = 14.If the pooled variance for the two samples is 16,then what is the value of Cohen's d?​

Accepted Answer

A) ​0.25 
B) ​0.50 
C) ​1.00 
D) ​4.00 
A) ​0.25 
B) ​0.50 
C) ​1.00 
D) ​4.00

Question 12

​One sample of n = 8 scores has a variance of s2 = 6 and a second sample of n = 8 scores has s2 = 10.If the pooled variance is computed for these two samples,then the value obtained will be ____.

Accepted Answer

A) ​closer to 6 than to 10 
B) ​closer to 10 than to 6 
C) ​exactly half way between 6 and 10 
D) ​equal to 10 
A) ​closer to 6 than to 10 
B) ​closer to 10 than to 6 
C) ​exactly half way between 6 and 10 
D) ​equal to 10

Question 13

One sample has n = 10 scores and a variance of s2 = 20,and a second sample has n = 15 scores and a variance of s2 = 30.What can you conclude about the pooled variance for these two samples?​

Accepted Answer

A) ​It will be closer to 20 than to 30. 
B) ​It will be closer to 30 than to 20. 
C) ​It will be exactly half way between 20 and 30. 
D) ​It will be equal to 25. 
A) ​It will be closer to 20 than to 30. 
B) ​It will be closer to 30 than to 20. 
C) ​It will be exactly half way between 20 and 30. 
D) ​It will be equal to 25.

Question 14

For an independent-measures t statistic,the estimated standard error measures how much difference is reasonable to expect between the two sample means if the null hypothesis is true.​

Accepted Answer

A) True 
 B)False

Question 15

The estimated standard error for the independent-measures t statistic provides a measure of how much difference should exist,on average,between two sample means for samples selected from the same population.​

Accepted Answer

A) True 
 B)False

Question 16

​If other factors are held constant,which of the following sets of data would produce the largest value for an independent-measures t statistic?

Accepted Answer

A) ​The two samples both have n = 15 with sample variances of 20 and 25. 
B) ​The two samples both have n = 15 with variances of 120 and 125. 
C) ​The two samples both have n = 30 with sample variances of 20 and 25. 
D) ​The two samples both have n = 30 with variances of 120 and 125. 
A) ​The two samples both have n = 15 with sample variances of 20 and 25. 
B) ​The two samples both have n = 15 with variances of 120 and 125. 
C) ​The two samples both have n = 30 with sample variances of 20 and 25. 
D) ​The two samples both have n = 30 with variances of 120 and 125.

Question 17

An independent-measures study uses two samples,each with n = 10,to compare two treatment conditions.What is the df value for the t statistic for this study?​

Accepted Answer

A) ​8 
B) ​9 
C) ​18 
D) ​19 
A) ​8 
B) ​9 
C) ​18 
D) ​19

Question 18

​If an independent-measures t statistic has df = 20,then there were a total of 18 individuals participating in the research study.

Accepted Answer

A) True 
 B)False

Question 19

The following data are from an independent-measures experiment comparing two treatmentconditions.​ $\begin{array}{c}
\begin{array}{c}
\text {Treatment 1}\
4 \
5 \
12 \
10 \
10 \
7
\end{array}
\begin{array}{c}
\text {Treatment 2}\
19\
11\
18\
10\
12\
14\
\end{array}
\end{array}$
 ​ 
a. Does the data indicate a significant difference between the treatments at the .05 level of significance?
b. Compute r2 to measure the size of the treatment effect.
c. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.​

Accepted Answer

a.For treatment 1,M = 8 and SS = 50.For

Question 20

​If one sample has n = 5 scores with SS = 40 and a second sample has n = 5 scores with SS = 20,then the pooled variance will be 60/10 = 6.

Accepted Answer

A) True 
 B)False

Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?

If the two samples are the same size,then the pooled variance will equal the average of the two sample variances.

One sample has n = 5 scores and the second has n = 10 scores.If the pooled variance for the two sample is 30,then what is the value of the estimated standard error for the sample mean difference?

For the independent-measures t statistic,what is the effect of increasing the sample variances?

The problems associated with high variance often can be minimized by transforming the original scores to ranks and then conducting an alternative statistical analysis known as the Mann-Whitney test.

Assuming that there is a 5-point difference between the two sample means,which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?

An independent-measures research study uses two samples,each with n = 12 participants.If the data produce a t statistic of t = 2.08,then which of the following is the correct decision for a two-tailed hypothesis test?

In an independent-measures hypothesis test,what must be true if t = 0?

For an independent-measures study,the width of a confidence interval estimating µ₁ - µ₂ depends on the size of the difference between M₁ and M₂.

Two samples,each with n = 8,produce an independent-measures t statistic of t = -2.15.Which of the following decisions is justified for a two-tailed hypothesis test?

One sample has M = 18 and a second sample has M = 14.If the pooled variance for the two samples is 16,then what is the value of Cohen's d?

One sample of n = 8 scores has a variance of s² = 6 and a second sample of n = 8 scores has s² = 10.If the pooled variance is computed for these two samples,then the value obtained will be ____.

One sample has n = 10 scores and a variance of s² = 20,and a second sample has n = 15 scores and a variance of s² = 30.What can you conclude about the pooled variance for these two samples?

For an independent-measures t statistic,the estimated standard error measures how much difference is reasonable to expect between the two sample means if the null hypothesis is true.

The estimated standard error for the independent-measures t statistic provides a measure of how much difference should exist,on average,between two sample means for samples selected from the same population.

If other factors are held constant,which of the following sets of data would produce the largest value for an independent-measures t statistic?

An independent-measures study uses two samples,each with n = 10,to compare two treatment conditions.What is the df value for the t statistic for this study?

If an independent-measures t statistic has df = 20,then there were a total of 18 individuals participating in the research study.

If one sample has n = 5 scores with SS = 40 and a second sample has n = 5 scores with SS = 20,then the pooled variance will be 60/10 = 6.

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

Exam 10: The T Test for Two Independent Samples

Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?​

​If the two samples are the same size,then the pooled variance will equal the average of the two sample variances.

One sample has n = 5 scores and the second has n = 10 scores.If the pooled variance for the two sample is 30,then what is the value of the estimated standard error for the sample mean difference?​

​For the independent-measures t statistic,what is the effect of increasing the sample variances?

The problems associated with high variance often can be minimized by transforming the original scores to ranks and then conducting an alternative statistical analysis known as the Mann-Whitney test.​

Assuming that there is a 5-point difference between the two sample means,which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?​

An independent-measures research study uses two samples,each with n = 12 participants.If the data produce a t statistic of t = 2.08,then which of the following is the correct decision for a two-tailed hypothesis test?​

​In an independent-measures hypothesis test,what must be true if t = 0?

For an independent-measures study,the width of a confidence interval estimating µ1 - µ2 depends on the size of the difference between M1 and M2.​

Two samples,each with n = 8,produce an independent-measures t statistic of t = -2.15.Which of the following decisions is justified for a two-tailed hypothesis test?​

One sample has M = 18 and a second sample has M = 14.If the pooled variance for the two samples is 16,then what is the value of Cohen's d?​

​One sample of n = 8 scores has a variance of s2 = 6 and a second sample of n = 8 scores has s2 = 10.If the pooled variance is computed for these two samples,then the value obtained will be ____.

One sample has n = 10 scores and a variance of s2 = 20,and a second sample has n = 15 scores and a variance of s2 = 30.What can you conclude about the pooled variance for these two samples?​

For an independent-measures t statistic,the estimated standard error measures how much difference is reasonable to expect between the two sample means if the null hypothesis is true.​

The estimated standard error for the independent-measures t statistic provides a measure of how much difference should exist,on average,between two sample means for samples selected from the same population.​

​If other factors are held constant,which of the following sets of data would produce the largest value for an independent-measures t statistic?

An independent-measures study uses two samples,each with n = 10,to compare two treatment conditions.What is the df value for the t statistic for this study?​

​If an independent-measures t statistic has df = 20,then there were a total of 18 individuals participating in the research study.

​If one sample has n = 5 scores with SS = 40 and a second sample has n = 5 scores with SS = 20,then the pooled variance will be 60/10 = 6.

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?

If the two samples are the same size,then the pooled variance will equal the average of the two sample variances.

One sample has n = 5 scores and the second has n = 10 scores.If the pooled variance for the two sample is 30,then what is the value of the estimated standard error for the sample mean difference?

For the independent-measures t statistic,what is the effect of increasing the sample variances?

The problems associated with high variance often can be minimized by transforming the original scores to ranks and then conducting an alternative statistical analysis known as the Mann-Whitney test.

Assuming that there is a 5-point difference between the two sample means,which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?

An independent-measures research study uses two samples,each with n = 12 participants.If the data produce a t statistic of t = 2.08,then which of the following is the correct decision for a two-tailed hypothesis test?

In an independent-measures hypothesis test,what must be true if t = 0?

For an independent-measures study,the width of a confidence interval estimating µ₁ - µ₂ depends on the size of the difference between M₁ and M₂.

Two samples,each with n = 8,produce an independent-measures t statistic of t = -2.15.Which of the following decisions is justified for a two-tailed hypothesis test?

One sample has M = 18 and a second sample has M = 14.If the pooled variance for the two samples is 16,then what is the value of Cohen's d?

One sample of n = 8 scores has a variance of s² = 6 and a second sample of n = 8 scores has s² = 10.If the pooled variance is computed for these two samples,then the value obtained will be ____.

One sample has n = 10 scores and a variance of s² = 20,and a second sample has n = 15 scores and a variance of s² = 30.What can you conclude about the pooled variance for these two samples?

For an independent-measures t statistic,the estimated standard error measures how much difference is reasonable to expect between the two sample means if the null hypothesis is true.

The estimated standard error for the independent-measures t statistic provides a measure of how much difference should exist,on average,between two sample means for samples selected from the same population.

If other factors are held constant,which of the following sets of data would produce the largest value for an independent-measures t statistic?

An independent-measures study uses two samples,each with n = 10,to compare two treatment conditions.What is the df value for the t statistic for this study?

If an independent-measures t statistic has df = 20,then there were a total of 18 individuals participating in the research study.

If one sample has n = 5 scores with SS = 40 and a second sample has n = 5 scores with SS = 20,then the pooled variance will be 60/10 = 6.