Question 1

A research report states "t(15)= 2.31,p < .05." For this study,the sample had n = 16 scores.

Accepted Answer

A) True 
 B)False  True

Question 2

A research report states "t(8)= 2.00,p > .05." For this test,r2 = 2/10.

Accepted Answer

A) True 
 B)False  False

Question 3

As sample size increases,the critical region boundaries for a two-tailed test with a = .05 will move closer to zero.

Accepted Answer

A) True 
 B)False  True

Question 4

The results of a hypothesis test are reported as follows: t(15)= 2.70,p < .05.Based on this report,how many individuals were in the sample?​

Accepted Answer

A) ​14 
B) ​15 
C) ​16 
D) ​17 
A) ​14 
B) ​15 
C) ​16 
D) ​17

Question 5

If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?​

Accepted Answer

A) ​M = 85 and small sample variance 
B) ​M = 85 and large sample variance 
C) ​M = 90 and small sample variance 
D) ​M = 90 and large sample variance 
A) ​M = 85 and small sample variance 
B) ​M = 85 and large sample variance 
C) ​M = 90 and small sample variance 
D) ​M = 90 and large sample variance

Question 6

A researcher conducts a hypothesis test using a sample from an unknown population.If the t statistic has df = 35,how many individuals were in the sample?​

Accepted Answer

A) ​n = 34 
B) ​n = 35 
C) ​n = 36 
D) ​n=32 
A) ​n = 34 
B) ​n = 35 
C) ​n = 36 
D) ​n=32

Question 7

A sample of n = 4 scores with SS = 48 has a variance of 16 and an estimated standard error of 2.

Accepted Answer

A) True 
 B)False

Question 8

With α = .05,what is the critical t value for a one-tailed test with n = 15?​

Accepted Answer

A) ​t = 1.761 
B) ​t = 1.753 
C) ​t = 2.145 
D) ​t = 2.131 
A) ​t = 1.761 
B) ​t = 1.753 
C) ​t = 2.145 
D) ​t = 2.131

Question 9

If other factors are held constant,as the sample variance increases,the estimated standard error also increases.

Accepted Answer

A) True 
 B)False

Question 10

Why are t statistics more variable than z-scores?​

Accepted Answer

A) ​The extra variability is caused by variations in the sample mean. 
B) ​The extra variability is caused by variations in the sample variance. 
C) ​The extra variability is caused by variations in the df value. 
D) ​The extra variability is caused by the large sample size. 
A) ​The extra variability is caused by variations in the sample mean. 
B) ​The extra variability is caused by variations in the sample variance. 
C) ​The extra variability is caused by variations in the df value. 
D) ​The extra variability is caused by the large sample size.

Question 11

A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53.Assuming a one-tailed test with the critical region in the right-hand tail,what is the correct decision?​

Accepted Answer

A) ​The researcher can reject the null hypothesis with α = .05 but not with α = .01. 
B) ​The researcher can reject the null hypothesis with either α = .05 or α = .01. 
C) ​The researcher must fail to reject the null hypothesis with either α = .05 or α = .01. 
D) ​It is impossible to make a decision about H0 without more information. 
A) ​The researcher can reject the null hypothesis with α = .05 but not with α = .01. 
B) ​The researcher can reject the null hypothesis with either α = .05 or α = .01. 
C) ​The researcher must fail to reject the null hypothesis with either α = .05 or α = .01. 
D) ​It is impossible to make a decision about H0 without more information.

Question 12

In order to estimate a population mean with a confidence interval,you first must estimate a range of values for t.

Accepted Answer

A) True 
 B)False

Question 13

A sample of n = 16 scores with a sample variance of s2 = 64 would have an estimated standard error of 4 points.

Accepted Answer

A) True 
 B)False

Question 14

Two samples are selected from a population and a treatment is administered to the samples.If both samples have the same mean and the same variance,you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.

Accepted Answer

A) True 
 B)False

Question 15

A sample of n = 25 scores has a mean of M = 65 and an estimated standard error of 2 points.What is the sample variance?​

Accepted Answer

A) ​s2 = 100 
B) ​s2 = 96 
C) ​s2 = 50 
D) ​s2 = 48 
A) ​s2 = 100 
B) ​s2 = 96 
C) ​s2 = 50 
D) ​s2 = 48

Question 16

If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15,then the correct decision is to reject the null hypothesis for a two-tailed test with a = .05.

Accepted Answer

A) True 
 B)False

Question 17

With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?​

Accepted Answer

A) ​They would increase (move farther from zero). 
B) ​They would decrease (move closer to zero). 
C) ​They would stay the same. 
D) ​There is not enough information to answer. 
A) ​They would increase (move farther from zero). 
B) ​They would decrease (move closer to zero). 
C) ​They would stay the same. 
D) ​There is not enough information to answer.

Question 18

A sample of n = 4 scores is selected from a population with an unknown mean.The sample has a mean of M = 40 and a variance of s2 = 16.Which equation correctly describes the 90% confidence interval for μ?​

Accepted Answer

A) ​μ = 40 ± 2.353(4) 
B) ​μ = 40 ± 1.638(4) 
C) ​μ = 40 ± 2.353(2) 
D) ​μ = 40 ± 1.638(2) 
A) ​μ = 40 ± 2.353(4) 
B) ​μ = 40 ± 1.638(4) 
C) ​μ = 40 ± 2.353(2) 
D) ​μ = 40 ± 1.638(2)

Question 19

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?​

Accepted Answer

A) ​s2 = 9 and sM = 3 
B) ​s2 = 9 and sM = 1 
C) ​s2 = 3 and sM = 3 
D) ​s2 = 3 and sM = 1 
A) ​s2 = 9 and sM = 3 
B) ​s2 = 9 and sM = 1 
C) ​s2 = 3 and sM = 3 
D) ​s2 = 3 and sM = 1

Question 20

If two samples are selected from the same population,under what circumstances are the two samples guaranteed to have exactly the same t statistic?​

Accepted Answer

A) ​If the samples are the same size and have the same variance 
B) ​If the samples are the same size and have the same mean 
C) ​If the samples have the same mean and the same variance 
D) ​If the samples are the same size and have the same mean and have the same variance 
A) ​If the samples are the same size and have the same variance 
B) ​If the samples are the same size and have the same mean 
C) ​If the samples have the same mean and the same variance 
D) ​If the samples are the same size and have the same mean and have the same variance

A research report states "t(15)= 2.31,p < .05." For this study,the sample had n = 16 scores.

A research report states "t(8)= 2.00,p > .05." For this test,r² = 2/10.

As sample size increases,the critical region boundaries for a two-tailed test with a = .05 will move closer to zero.

The results of a hypothesis test are reported as follows: t(15)= 2.70,p < .05.Based on this report,how many individuals were in the sample?

If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?

A researcher conducts a hypothesis test using a sample from an unknown population.If the t statistic has df = 35,how many individuals were in the sample?

A sample of n = 4 scores with SS = 48 has a variance of 16 and an estimated standard error of 2.

With α = .05,what is the critical t value for a one-tailed test with n = 15?

If other factors are held constant,as the sample variance increases,the estimated standard error also increases.

Why are t statistics more variable than z-scores?

A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53.Assuming a one-tailed test with the critical region in the right-hand tail,what is the correct decision?

In order to estimate a population mean with a confidence interval,you first must estimate a range of values for t.

A sample of n = 16 scores with a sample variance of s² = 64 would have an estimated standard error of 4 points.

Two samples are selected from a population and a treatment is administered to the samples.If both samples have the same mean and the same variance,you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.

A sample of n = 25 scores has a mean of M = 65 and an estimated standard error of 2 points.What is the sample variance?

If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15,then the correct decision is to reject the null hypothesis for a two-tailed test with a = .05.

With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?

A sample of n = 4 scores is selected from a population with an unknown mean.The sample has a mean of M = 40 and a variance of s² = 16.Which equation correctly describes the 90% confidence interval for μ?

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?

If two samples are selected from the same population,under what circumstances are the two samples guaranteed to have exactly the same t statistic?

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

The T Test for Two Independent Samples

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 9: Introduction to the T Statistic

A research report states "t(15)= 2.31,p < .05." For this study,the sample had n = 16 scores.

A research report states "t(8)= 2.00,p > .05." For this test,r2 = 2/10.

As sample size increases,the critical region boundaries for a two-tailed test with a = .05 will move closer to zero.

The results of a hypothesis test are reported as follows: t(15)= 2.70,p < .05.Based on this report,how many individuals were in the sample?​

If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?​

A researcher conducts a hypothesis test using a sample from an unknown population.If the t statistic has df = 35,how many individuals were in the sample?​

A sample of n = 4 scores with SS = 48 has a variance of 16 and an estimated standard error of 2.

With α = .05,what is the critical t value for a one-tailed test with n = 15?​

If other factors are held constant,as the sample variance increases,the estimated standard error also increases.

Why are t statistics more variable than z-scores?​

A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53.Assuming a one-tailed test with the critical region in the right-hand tail,what is the correct decision?​

In order to estimate a population mean with a confidence interval,you first must estimate a range of values for t.

A sample of n = 16 scores with a sample variance of s2 = 64 would have an estimated standard error of 4 points.

Two samples are selected from a population and a treatment is administered to the samples.If both samples have the same mean and the same variance,you are more likely to find a significant treatment effect with a sample of n = 100 than with a sample of n = 4.

A sample of n = 25 scores has a mean of M = 65 and an estimated standard error of 2 points.What is the sample variance?​

If a hypothesis test using a sample of n = 16 scores produces a t statistic of t = 2.15,then the correct decision is to reject the null hypothesis for a two-tailed test with a = .05.

With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?​

A sample of n = 4 scores is selected from a population with an unknown mean.The sample has a mean of M = 40 and a variance of s2 = 16.Which equation correctly describes the 90% confidence interval for μ?​

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?​

If two samples are selected from the same population,under what circumstances are the two samples guaranteed to have exactly the same t statistic?​

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

The T Test for Two Independent Samples

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

A research report states "t(8)= 2.00,p > .05." For this test,r² = 2/10.

The results of a hypothesis test are reported as follows: t(15)= 2.70,p < .05.Based on this report,how many individuals were in the sample?

If other factors are held constant,which set of sample characteristics is most likely to reject a null hypothesis stating that m = 80?

A researcher conducts a hypothesis test using a sample from an unknown population.If the t statistic has df = 35,how many individuals were in the sample?

With α = .05,what is the critical t value for a one-tailed test with n = 15?

Why are t statistics more variable than z-scores?

A hypothesis test with a sample of n = 25 participants produces a t statistic of t = +2.53.Assuming a one-tailed test with the critical region in the right-hand tail,what is the correct decision?

A sample of n = 16 scores with a sample variance of s² = 64 would have an estimated standard error of 4 points.

A sample of n = 25 scores has a mean of M = 65 and an estimated standard error of 2 points.What is the sample variance?

With α = .05 and df = 8,the critical values for a two-tailed t test are t = ±2.306.Assuming all other factors are held constant,if the df value were increased to df = 20,what would happen to the critical values for t?

A sample of n = 4 scores is selected from a population with an unknown mean.The sample has a mean of M = 40 and a variance of s² = 16.Which equation correctly describes the 90% confidence interval for μ?

What is the sample variance and the estimated standard error for a sample of n = 9 scores with SS = 72?

If two samples are selected from the same population,under what circumstances are the two samples guaranteed to have exactly the same t statistic?