Question 1

Which of the following requirements is common to both the z-test and the one-sample t-test?

Accepted Answer

A) Alpha is selected to be 0.01. 
B) The raw score population forms a normal distribution, and the population mean and standard deviation are known. 
C) The standard deviation of the raw score population is estimated by $S_{X}$ . 
D) There is one random sample of interval or ratio scores. 
A) Alpha is selected to be 0.01. 
B) The raw score population forms a normal distribution, and the population mean and standard deviation are known. 
C) The standard deviation of the raw score population is estimated by $S_{X}$ . 
D) There is one random sample of interval or ratio scores. D

Question 2

How is the t-distribution defined?

Accepted Answer

A) The distribution of all possible values of t 
B) How far the sample mean is from the μ of the sampling distribution in estimated standard error units 
C) The distribution of all possible values of t for random samples having the same N from the population described by $H_{0}$ 
D) The distribution of all possible values of t for random samples having the same N from the population described by $H_{a}$ 
A) The distribution of all possible values of t 
B) How far the sample mean is from the μ of the sampling distribution in estimated standard error units 
C) The distribution of all possible values of t for random samples having the same N from the population described by $H_{0}$ 
D) The distribution of all possible values of t for random samples having the same N from the population described by $H_{a}$ C

Question 3

Using the following data, calculate the standard error of the mean.
55 48 59 50 48 52 50 48 57 54
50 52 54 43 44 53 40 46 50 51

Accepted Answer

$\begin{array}{l}
s_{X}^{2}=\frac{50818-\frac{(1004)^{2}}{20}}{20-1}=\frac{417.2}{19}=21.958 \\
s_{X}=\sqrt{21.958}=4.69 \\
s_{\bar{X}}=\frac{4.69}{\sqrt{20}}=1.05
\end{array}$

Question 4

After determining your one-tailed t-test is significant, what should you do?

Accepted Answer

A) See if the test is still significant at a lower α. 
B) See if the test is still significant at a higher α. 
C) See if the test is still significant if you use a two-tailed test. 
D) Compute a confidence interval for μ. 
A) See if the test is still significant at a lower α. 
B) See if the test is still significant at a higher α. 
C) See if the test is still significant if you use a two-tailed test. 
D) Compute a confidence interval for μ.

Question 5

If a researcher reports a one-sample t-test with df = 24, how many individuals participated in this study?

Accepted Answer

The answer of If a researcher reports a one-sample t-test...

Question 6

Which of the following would make it more likely your t-test will be significant?

Accepted Answer

A) Decreasing the degrees of freedom 
B) Using a one-tailed test rather than a two-tailed test 
C) Changing α from 0.05 to 0.01 
D) Computing a confidence interval for μ 
A) Decreasing the degrees of freedom 
B) Using a one-tailed test rather than a two-tailed test 
C) Changing α from 0.05 to 0.01 
D) Computing a confidence interval for μ

Question 7

Unless we use the correct from the t-distribution for the appropriate N, $\begin{array}{c}
t_{\text {crit }} \
H_{0} \
H_{0}
\end{array}$

Accepted Answer

A) we will fail to reject . 
B) we will always reject . 
C) the probability of making a Type I error will increase. 
D) the probability of making a Type I error will not equal α. 
A) we will fail to reject . 
B) we will always reject . 
C) the probability of making a Type I error will increase. 
D) the probability of making a Type I error will not equal α.

Question 8

Which of the following is one of the requirements of a one-sample t-test?

Accepted Answer

A) The obtained scores are either ordinal or interval. 
B) The population standard deviation is estimated by computing $S_{X}$ . 
C) The population standard deviation is known. 
D) The population distribution is skewed. 
A) The obtained scores are either ordinal or interval. 
B) The population standard deviation is estimated by computing $S_{X}$ . 
C) The population standard deviation is known. 
D) The population distribution is skewed.

Question 9

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .01.
51 48 52 50 48 52 50 48 52 54
50 52 54 47 49 53 47 46 50 51 $\begin{array}{l}
\bar{X}=\frac{1004}{20}=50.2 \\
s_{X}^{2}=\frac{50506-\frac{(1004)^{2}}{20}}{20-1}=\frac{105.2}{19}=5.537 \\
s_{X}=\sqrt{5.537}=2.35 \\
s_{\bar{X}}=\frac{2.35}{\sqrt{20}}=0.525 \\
t_{\text {obt }}=\frac{50.2-49}{0.525}=+2.29 \\
t_{\text {crit }}=\pm 2.861
\end{array}$

Accepted Answer

Fail to re

Question 10

Suppose a poll has been conducted on Americans' favorable attitudes towards a certain issue.If it is reported that Americans are 56%+4% in favor of the issue, which of the following is not a possible value represented within the margin of error?

Accepted Answer

A) 51% 
B) 53% 
C) 56% 
D) 60% 
A) 51% 
B) 53% 
C) 56% 
D) 60%

Question 11

What does the $t_{o b t}$ value indicate?

Accepted Answer

A) The probability of rejecting the null hypothesis 
B) The probability of retaining the null hypothesis 
C) How far the population mean, μ, is from the mean of the sampling distribution of means 
D) How far the sample mean is from the μ of the sampling distribution of means 
A) The probability of rejecting the null hypothesis 
B) The probability of retaining the null hypothesis 
C) How far the population mean, μ, is from the mean of the sampling distribution of means 
D) How far the sample mean is from the μ of the sampling distribution of means

Question 12

Conduct a two-tailed t-test for $\bar{X}=84, s_{X}^{2}=40, N=61$ and μ = 87.Use α = .05.What is the value of $t_{o b t}$ ?

Accepted Answer

The answer of Conduct a two-tailed t-test for \(\bar{X}=84, s_{X}^{2}=40,...

Question 13

Using the following data, compute the t-statistic.Use a known population mean of 20, a one-tailed test in the upper tail, and $\alpha$ = 0.05..
22 19 23 26 18 22 21
31 30 25 20 24 25 23

Accepted Answer

Fail to reject the null hypoth

Question 14

What are the two basic consequences of going from a 95% to a 99% confidence interval?

Accepted Answer

The obvious consequence of going from a

Question 15

Some people claim psychology is common sense.If this is true, then students who have not taken psychology courses should be able to predict the outcomes of experiments as well as psychology majors.If it is not, nonpsychology students should perform worse than psychology students.Psychology students typically predict outcomes with μ = 69% accuracy.A sample of 15 nonpsychology students predicted with $\begin{array}{l}
t_{\text {obt }}=\frac{60-69}{2.606}=-3.45 \
t_{\text {crit }}=1.761 \text { (one-tailed) }
\end{array}$ $\bar{X}$ = 60% accuracy.The $S \bar{X}$ = 2.606.If appropriate, calculate the 95% confidence interval for nonpsychology students.

Accepted Answer

Reject the

Question 16

For $\mu=110$ $\bar{X}=115, s_{X}^{2}=36, N=15$ and what is $t_{o b t}$ ?

Accepted Answer

The answer of For $\mu=110$ $\bar{X}=115, s_{X}^{2}=36, N=15$ and what...

Question 17

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .05.
51 48 52 50 48 52 50 48 52 54
50 52 54 47 49 53 47 46 50 51 $\begin{array}{l}
\bar{X}=\frac{1004}{20}=50.2 \\
s_{X}^{2}=\frac{50506-\frac{(1004)^{2}}{20}}{20-1}=\frac{105.2}{19}=5.537 \\
s_{X}=\sqrt{5.537}=2.35 \\
s_{\bar{X}}=\frac{2.35}{\sqrt{20}}=0.525 \\
t_{\text {obt }}=\frac{50.2-49}{0.525}=+2.29 \\
t_{\text {crit }}=\pm 2.093
\end{array}$

Accepted Answer

Reject the

Question 18

Colin has computed the variance for his 10 raw scores and obtained = 16.37.He then computed $S_{X}^{2}$ $S \bar{X}$ as follows: $s \bar{x}=\sqrt{\frac{4.046}{10}}=0.636$ What is wrong?

Accepted Answer

A) Colin first took the square root of $S_{X}^{2}$ and put this into the formula for $S \bar{X}$ .He should have used the $S_{X}^{2}$ = 16.37 value. 
B) Colin should have divided here by N - 1. 
C) Colin should not have taken the square root of 4.046/10 because he needs $S_{X}^{2}$ in the formula for the t-test. 
D) There is nothing wrong with the way Colin has done this problem. 
A) Colin first took the square root of $S_{X}^{2}$ and put this into the formula for $S \bar{X}$ .He should have used the $S_{X}^{2}$ = 16.37 value. 
B) Colin should have divided here by N - 1. 
C) Colin should not have taken the square root of 4.046/10 because he needs $S_{X}^{2}$ in the formula for the t-test. 
D) There is nothing wrong with the way Colin has done this problem.

Question 19

What is $S \bar{X}$ ?

Accepted Answer

A) The estimated population standard deviation 
B) The population standard deviation 
C) The estimated standard error of the mean 
D) The standard error of the mean 
A) The estimated population standard deviation 
B) The population standard deviation 
C) The estimated standard error of the mean 
D) The standard error of the mean

Question 20

When is a sample mean likely to represent a particular population mean?

Accepted Answer

A) It depends on sampling error. 
B) It depends on our alpha. 
C) When our t-obtained is greater than the expected value of t. 
D) When we reject the null hypothesis. 
A) It depends on sampling error. 
B) It depends on our alpha. 
C) When our t-obtained is greater than the expected value of t. 
D) When we reject the null hypothesis.

Which of the following requirements is common to both the z-test and the one-sample t-test?

How is the t-distribution defined?

Using the following data, calculate the standard error of the mean. 55 48 59 50 48 52 50 48 57 54 50 52 54 43 44 53 40 46 50 51

After determining your one-tailed t-test is significant, what should you do?

If a researcher reports a one-sample t-test with df = 24, how many individuals participated in this study?

Which of the following would make it more likely your t-test will be significant?

Unless we use the correct from the t-distribution for the appropriate N,

Which of the following is one of the requirements of a one-sample t-test?

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .01. 51 48 52 50 48 52 50 48 52 54 50 52 54 47 49 53 47 46 50 51 ==50.2 ===5.537 ==2.35 ==0.525 ==+2.29 =\pm2.861

Suppose a poll has been conducted on Americans' favorable attitudes towards a certain issue.If it is reported that Americans are 56%+4% in favor of the issue, which of the following is not a possible value represented within the margin of error?

What does the $t_{o b t}$ value indicate?

Conduct a two-tailed t-test for $\bar{X}=84, s_{X}^{2}=40, N=61$ and μ = 87.Use α = .05.What is the value of $t_{o b t}$ ?

Using the following data, compute the t-statistic.Use a known population mean of 20, a one-tailed test in the upper tail, and $\alpha$ = 0.05.. 22 19 23 26 18 22 21 31 30 25 20 24 25 23

What are the two basic consequences of going from a 95% to a 99% confidence interval?

For $\mu=110$ $\bar{X}=115, s_{X}^{2}=36, N=15$ and what is $t_{o b t}$ ?

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .05. 51 48 52 50 48 52 50 48 52 54 50 52 54 47 49 53 47 46 50 51 ==50.2 ===5.537 ==2.35 ==0.525 ==+2.29 =\pm2.093

Colin has computed the variance for his 10 raw scores and obtained = 16.37.He then computed $S_{X}^{2}$ $S \bar{X}$ as follows: $s \bar{x}=\sqrt{\frac{4.046}{10}}=0.636$ What is wrong?

What is $S \bar{X}$ ?

When is a sample mean likely to represent a particular population mean?

Introduction to Statistics and Research

Creating and Using Frequency Distributions

Summarizing Scores With Measures of Central Tendency

Summarizing Scores With Measures of Variability

Describing Data With Z-Scores and the Normal Curve

Using Probability to Make Decisions About Data

Overview of Statistical Hypothesis Testing: the Z-Test

Hypothesis Testing Using the Two-Sample T-Test

Describing Relationships Using Correlation and Regression

Hypothesis Testing Using the One-Way Analysis of Variance

Understanding the Two-Way Analysis of Variance

Chi Square and Nonparametric Procedures

Filters

Exam 8: Hypothesis Testing Using the One-Sample T-Test

Which of the following requirements is common to both the z-test and the one-sample t-test?

How is the t-distribution defined?

Using the following data, calculate the standard error of the mean. 55 48 59 50 48 52 50 48 57 54 50 52 54 43 44 53 40 46 50 51

After determining your one-tailed t-test is significant, what should you do?

If a researcher reports a one-sample t-test with df = 24, how many individuals participated in this study?

Which of the following would make it more likely your t-test will be significant?

Unless we use the correct from the t-distribution for the appropriate N,

Which of the following is one of the requirements of a one-sample t-test?

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .01. 51 48 52 50 48 52 50 48 52 54 50 52 54 47 49 53 47 46 50 51 ==50.2 ===5.537 ==2.35 ==0.525 ==+2.29 =\pm2.861

Suppose a poll has been conducted on Americans' favorable attitudes towards a certain issue.If it is reported that Americans are 56%+4% in favor of the issue, which of the following is not a possible value represented within the margin of error?

What does the tobtt_{o b t}tobt​ value indicate?

Conduct a two-tailed t-test for Xˉ=84,sX2=40,N=61\bar{X}=84, s_{X}^{2}=40, N=61Xˉ=84,sX2​=40,N=61 and μ = 87.Use α = .05.What is the value of tobtt_{o b t}tobt​ ?

Using the following data, compute the t-statistic.Use a known population mean of 20, a one-tailed test in the upper tail, and α\alphaα = 0.05.. 22 19 23 26 18 22 21 31 30 25 20 24 25 23

What are the two basic consequences of going from a 95% to a 99% confidence interval?

For μ=110\mu=110μ=110 Xˉ=115,sX2=36,N=15\bar{X}=115, s_{X}^{2}=36, N=15Xˉ=115,sX2​=36,N=15 and what is tobtt_{o b t}tobt​ ?

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .05. 51 48 52 50 48 52 50 48 52 54 50 52 54 47 49 53 47 46 50 51 ==50.2 ===5.537 ==2.35 ==0.525 ==+2.29 =\pm2.093

Colin has computed the variance for his 10 raw scores and obtained = 16.37.He then computed SX2S_{X}^{2}SX2​ SXˉS \bar{X}SXˉ as follows: sxˉ=4.04610=0.636s \bar{x}=\sqrt{\frac{4.046}{10}}=0.636sxˉ=104.046​​=0.636 What is wrong?

What is SXˉS \bar{X}SXˉ ?

When is a sample mean likely to represent a particular population mean?

Introduction to Statistics and Research

Creating and Using Frequency Distributions

Summarizing Scores With Measures of Central Tendency

Summarizing Scores With Measures of Variability

Describing Data With Z-Scores and the Normal Curve

Using Probability to Make Decisions About Data

Overview of Statistical Hypothesis Testing: the Z-Test

Hypothesis Testing Using the Two-Sample T-Test

Describing Relationships Using Correlation and Regression

Hypothesis Testing Using the One-Way Analysis of Variance

Understanding the Two-Way Analysis of Variance

Chi Square and Nonparametric Procedures

Filters

What does the $t_{o b t}$ value indicate?

Conduct a two-tailed t-test for $\bar{X}=84, s_{X}^{2}=40, N=61$ and μ = 87.Use α = .05.What is the value of $t_{o b t}$ ?

Using the following data, compute the t-statistic.Use a known population mean of 20, a one-tailed test in the upper tail, and $\alpha$ = 0.05.. 22 19 23 26 18 22 21 31 30 25 20 24 25 23

For $\mu=110$ $\bar{X}=115, s_{X}^{2}=36, N=15$ and what is $t_{o b t}$ ?

Colin has computed the variance for his 10 raw scores and obtained = 16.37.He then computed $S_{X}^{2}$ $S \bar{X}$ as follows: $s \bar{x}=\sqrt{\frac{4.046}{10}}=0.636$ What is wrong?

What is $S \bar{X}$ ?