Question 1

Which set of characteristics will produce the smallest value for the estimated standard error?​

Accepted Answer

A) ​A large sample size and a small sample variance 
B) ​A large sample size and a large sample variance 
C) ​A small sample size and a small sample variance 
D) ​A small sample size and a large sample variance 
A) ​A large sample size and a small sample variance 
B) ​A large sample size and a large sample variance 
C) ​A small sample size and a small sample variance 
D) ​A small sample size and a large sample variance

Question 2

A sample of n = 4 scores has SS = 60.What is the variance for this sample?​

Accepted Answer

A) 30​ 
B) ​20 
C) ​16 
D) ​15 
A) 30​ 
B) ​20 
C) ​16 
D) ​15

Question 3

A sample of n = 16 individuals is selected from a population with µ = 30.After a treatment is administered to the individuals,the sample mean is found to be M = 33.
a. If the sample variance is s2 = 16, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
b. If the sample variance is s2 = 64, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
c. Describe how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.

Accepted Answer

a.With s2 = 16,the estimated standard er

Question 4

A sample of n = 16 scores has a mean of M = 58 with SS = 960.Use the sample to construct the 90% confidence interval for µ.

Accepted Answer

The sample variance is s² = 64

Question 5

For a two-tailed hypothesis test with α = .05 and a sample of n = 25 scores,the boundaries for the critical region are t = ±2.060.

Accepted Answer

A) True 
 B)False

Question 6

Two samples from the same population both have n = 10 scores with M = 45.If the t statistic is computed for each sample,then what is the relationship between the two t values?​

Accepted Answer

A) ​The two t statistics will be identical. 
B) ​The sample with the larger variance will produce the larger t statistic. 
C) ​The sample with the smaller variance will produce the larger t statistic. 
D) ​There is no way to predict the relationship between the two t statistics 
A) ​The two t statistics will be identical. 
B) ​The sample with the larger variance will produce the larger t statistic. 
C) ​The sample with the smaller variance will produce the larger t statistic. 
D) ​There is no way to predict the relationship between the two t statistics

Question 7

If other factors are held constant,what is the effect of increasing the sample variance?​

Accepted Answer

A) ​It will increase the estimated standard error and increase the likelihood of rejecting H0. 
B) ​It will increase the estimated standard error and decrease the likelihood of rejecting H0. 
C) ​It will decrease the estimated standard error and increase the likelihood of rejecting H0. 
D) ​It will decrease the estimated standard error and decrease the likelihood of rejecting H0. 
A) ​It will increase the estimated standard error and increase the likelihood of rejecting H0. 
B) ​It will increase the estimated standard error and decrease the likelihood of rejecting H0. 
C) ​It will decrease the estimated standard error and increase the likelihood of rejecting H0. 
D) ​It will decrease the estimated standard error and decrease the likelihood of rejecting H0.

Question 8

When n is small (less than 30),how does the shape of the t distribution compare to the normal distribution?​

Accepted Answer

A) ​It is almost perfectly normal. 
B) ​It is flatter and more spread out than the normal distribution. 
C) ​It is taller and narrower than the normal distribution. 
D) ​There is no consistent relationship between the t distribution and the normal distribution. 
A) ​It is almost perfectly normal. 
B) ​It is flatter and more spread out than the normal distribution. 
C) ​It is taller and narrower than the normal distribution. 
D) ​There is no consistent relationship between the t distribution and the normal distribution.

Question 9

A sample of n = 16 scores produces a t statistic of t = 2.00.If the sample is used to measure effect size with r2,what value will be obtained for r2?​

Accepted Answer

A) ​r2 = 2/20 
B) ​r2 = 4/20 
C) ​r2 = 2/19 
D) ​r2 = 4/19 
A) ​r2 = 2/20 
B) ​r2 = 4/20 
C) ​r2 = 2/19 
D) ​r2 = 4/19

Question 10

With α = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ____.​

Accepted Answer

A) ​t = ±2.602 
B) ​t = ±2.583 
C) ​t = ±2.947 
D) ​t = ±2.921 
A) ​t = ±2.602 
B) ​t = ±2.583 
C) ​t = ±2.947 
D) ​t = ±2.921

Question 11

If a researcher is using a t statistic to test a null hypothesis about a population,what information is needed from the population to calculate the t statistic?​

Accepted Answer

A) ​You must know the population mean 
B) ​You must know the population variance or standard deviation 
C) ​You must know the population mean and the variance or standard deviation 
D) ​The t statistic does not require any information about the population 
A) ​You must know the population mean 
B) ​You must know the population variance or standard deviation 
C) ​You must know the population mean and the variance or standard deviation 
D) ​The t statistic does not require any information about the population

Question 12

Under what circumstances can a very small treatment effect be statistically significant?​

Accepted Answer

A) ​If the sample size is big and the sample variance is small 
B) ​If the sample size and the sample variance are both big 
C) ​If the sample size is small and the sample variance is big 
D) ​If the sample size and the sample variance are both small 
A) ​If the sample size is big and the sample variance is small 
B) ​If the sample size and the sample variance are both big 
C) ​If the sample size is small and the sample variance is big 
D) ​If the sample size and the sample variance are both small

Question 13

If two samples each have the same mean,the same number of scores,and are selected from the same population,then they will also have identical t statistics.

Accepted Answer

A) True 
 B)False

Question 14

A sample is selected from a population with µ = 80.After a treatment is administered to the individuals,the sample mean is found to be M = 75 and the variance is s2 = 100.
a. If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
b. If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
c. Describe how increasing the size of the sample affects the standard error and the likelihood of rejecting the null hypothesis.

Accepted Answer

a.With n = 4 the estimated standard erro

Which set of characteristics will produce the smallest value for the estimated standard error?

A sample of n = 4 scores has SS = 60.What is the variance for this sample?

A sample of n = 16 scores has a mean of M = 58 with SS = 960.Use the sample to construct the 90% confidence interval for µ.

For a two-tailed hypothesis test with α = .05 and a sample of n = 25 scores,the boundaries for the critical region are t = ±2.060.

Two samples from the same population both have n = 10 scores with M = 45.If the t statistic is computed for each sample,then what is the relationship between the two t values?

If other factors are held constant,what is the effect of increasing the sample variance?

When n is small (less than 30),how does the shape of the t distribution compare to the normal distribution?

A sample of n = 16 scores produces a t statistic of t = 2.00.If the sample is used to measure effect size with r²,what value will be obtained for r²?

With α = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ____.

If a researcher is using a t statistic to test a null hypothesis about a population,what information is needed from the population to calculate the t statistic?

Under what circumstances can a very small treatment effect be statistically significant?

If two samples each have the same mean,the same number of scores,and are selected from the same population,then they will also have identical t statistics.

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

Which set of characteristics will produce the smallest value for the estimated standard error?​

A sample of n = 4 scores has SS = 60.What is the variance for this sample?​

A sample of n = 16 scores has a mean of M = 58 with SS = 960.Use the sample to construct the 90% confidence interval for µ.

For a two-tailed hypothesis test with α = .05 and a sample of n = 25 scores,the boundaries for the critical region are t = ±2.060.

Two samples from the same population both have n = 10 scores with M = 45.If the t statistic is computed for each sample,then what is the relationship between the two t values?​

If other factors are held constant,what is the effect of increasing the sample variance?​

When n is small (less than 30),how does the shape of the t distribution compare to the normal distribution?​

A sample of n = 16 scores produces a t statistic of t = 2.00.If the sample is used to measure effect size with r2,what value will be obtained for r2?​

With α = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ____.​

If a researcher is using a t statistic to test a null hypothesis about a population,what information is needed from the population to calculate the t statistic?​

Under what circumstances can a very small treatment effect be statistically significant?​

If two samples each have the same mean,the same number of scores,and are selected from the same population,then they will also have identical t statistics.

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

Which set of characteristics will produce the smallest value for the estimated standard error?

A sample of n = 4 scores has SS = 60.What is the variance for this sample?

Two samples from the same population both have n = 10 scores with M = 45.If the t statistic is computed for each sample,then what is the relationship between the two t values?

If other factors are held constant,what is the effect of increasing the sample variance?

When n is small (less than 30),how does the shape of the t distribution compare to the normal distribution?

A sample of n = 16 scores produces a t statistic of t = 2.00.If the sample is used to measure effect size with r²,what value will be obtained for r²?

With α = .01 the two-tailed critical region for a t test using a sample of n = 16 subjects would have boundaries of ____.

If a researcher is using a t statistic to test a null hypothesis about a population,what information is needed from the population to calculate the t statistic?

Under what circumstances can a very small treatment effect be statistically significant?