Question 1

Using the following data, conduct a two-tailed t-test.Use a known population mean of 49 and α = .05.
55 48 59 50 48 52 50 48 57 54
50 52 54 43 44 53 40 46 50 51 $\begin{array}{l}
\bar{X}=\frac{1004}{20}=50.2 \\
s_{X}^{2}=\frac{50818-\frac{(1004)^{2}}{20}}{20-1}=\frac{417.2}{19}=21.958 \\
s_{X}=\sqrt{21.958}=4.69 \\
s_{\bar{X}}=\frac{4.69}{\sqrt{20}}=1.05 \\
t_{\text {obt }}=\frac{50.2-49}{1.05}=+1.14 \\
t_{\text {crit }}=\pm 2.093
\end{array}$

Accepted Answer

The answer of Using the following data, conduct a two-tailed...

Question 2

Which of the following is not one of the steps in a one-sample t-test?

Accepted Answer

A) Create the null hypothesis H0) and alternative hypothesis Ha). 
B) Create the sampling t-distribution and find $t_{\mathrm{crit}}$ in the t-tables. 
C) Compute . 
D) Compare to $t_{\mathrm{crit}}$ .

Question 3

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

Accepted Answer

The answer of Using the following data, calculate the sample...

Question 4

What is the name of the procedure we can use in the unlikely event that our t-obtained value falls between two t- critical values in the t-table?

Accepted Answer

The answer of What is the name of the procedure...

Question 5

Suppose we have a 95% confidence interval of 12.23 and 16.75.What does this mean?

Accepted Answer

A) We are 95% confident that the true population mean is between 12.23 and 16.75. 
B) We are 95% confident that the true population mean is either 12.23 or 16.75. 
C) The average of 12.23 and 16.75 is probably the true population mean. 
D) We are at least 95% certain that neither a Type I nor a Type II error was made.

Question 6

Using the following data, conduct a one-tailed t-test in the upper tail.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 $\begin{array}{l}
\bar{X}=\frac{1004}{20}=50.2 \\
s_{X}^{2}=\frac{50506-\frac{(1004)^{2}}{20}}{20-1}=\frac{105.2}{19}=5.537 \\
s_{X}=\sqrt{5.537}=2.35 \\
s_{\bar{X}}=\frac{2.35}{\sqrt{20}}=0.525 \\
t_{\text {obt }}=\frac{50.2-49}{0.525}=+2.29 \\
t_{\text {crit }}=+1.729
\end{array}$

Accepted Answer

The answer of Using the following data, conduct a one-tailed...

Question 7

Suppose you conduct an experiment with 20 subjects and the $t_{o b t}$ turns out to be 0.69, which is not statistically significant.What is the correct way to report your results?

Accepted Answer

The answer of Suppose you conduct an experiment with 20...

Question 8

When is a t-test used instead of a z-test?

Accepted Answer

A) When the population μ is known 
B) When the population deals with two samples 
C) When the population standard deviation is known 
D) When the population standard deviation is unknown

Question 9

Using the data given below, perform a two-tailed t-test to compare the sample mean to μ = 35.5.Use α = .05

Accepted Answer

The answer of Using the data given below, perform a...

Question 10

Suppose you conduct a one-tailed t-test and your results are significant at both the .05 and .01 levels.What should you report and why?

Accepted Answer

The answer of Suppose you conduct a one-tailed t-test and...

Question 11

Identify the major difference between the z- and t-obtained formulas.

Accepted Answer

The answer of Identify the major difference between the z-...

Question 12

Using the following data, conduct a one-tailed t-test in the upper tail.Use a known population mean of 49 and α =
.05.
55 48 59 50 48 52 50 48 57 54
50 52 54 43 44 53 40 46 50 51 $\begin{array}{l}
\bar{X}=\frac{1004}{20}=50.2 \\
s_{X}^{2}=\frac{50818-\frac{(1004)^{2}}{20}}{20-1}=\frac{417.2}{19}=21.958 \\
s_{X}=\sqrt{21.958}=4.69 \\
s_{\bar{X}}=\frac{4.69}{\sqrt{20}}=1.05 \\
t_{\text {obt }}=\frac{50.2-49}{1.05}=+1.14 \\
t_{\text {crit }}=+1.729
\end{array}$

Accepted Answer

The answer of Using the following data, conduct a one-tailed...

Question 13

Conduct a two-tailed t-test for $\bar{X}=50, s_{X}^{2}=20, N=41$ and μ = 48.Use α = .05.Calculate the $t_{o b t}$ .

Accepted Answer

The answer of Conduct a two-tailed t-test for \(\bar{X}=50, s_{X}^{2}=20,...

Question 14

Interval estimation suggests a  ________ where we expect the  ________ to fall.

Accepted Answer

A) range of values; population parameter 
B) specific value; population parameter 
C) range of values; sample mean 
D) specific value; sample mean

Question 15

Suppose you're computing a one-sample t-test and you just finished computing your t-obtained.What is the next step for you to take?

Accepted Answer

The answer of Suppose you're computing a one-sample t-test and...

Question 16

Suppose we have a sample mean of 12, estimate standard error of the mean of 2.5, and a t-critical value of 2.306.What would be the lower and upper limits of our confidence interval?

Accepted Answer

The answer of Suppose we have a sample mean of...

Question 17

To achieve statistical significance for a one-sample t-test,

Accepted Answer

A) the t-obtained must be larger than the t-critical. 
B) the t-obtained must equal the t-critical. 
C) the t-obtained must be less than the t-critical. 
D) the t-obtained must differ from the t-critical by .05.

Question 18

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

Accepted Answer

The answer of Using the following data, calculate the sample...

Question 19

For a two-tailed test with α = 0.05, the $t_{\mathrm{crit}}$ value is

Accepted Answer

A) either +1.96 or -1.96. 
B) both +1.96 and -1.96. 
C) either +1.645 or -1.645. 
D) different for each df.

Question 20

What happens to the absolute value of $t_{\mathrm{crit}}$ as df increases? It

Accepted Answer

A) decreases. 
B) increases. 
C) remains the same. 
D) increases or decreases depending on whether $t_{o b t}$ is positive or negative.

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

Which of the following is not one of the steps in a one-sample t-test?

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

What is the name of the procedure we can use in the unlikely event that our t-obtained value falls between two t- critical values in the t-table?

Suppose we have a 95% confidence interval of 12.23 and 16.75.What does this mean?

Suppose you conduct an experiment with 20 subjects and the $t_{o b t}$ turns out to be 0.69, which is not statistically significant.What is the correct way to report your results?

When is a t-test used instead of a z-test?

Using the data given below, perform a two-tailed t-test to compare the sample mean to μ = 35.5.Use α = .05

Suppose you conduct a one-tailed t-test and your results are significant at both the .05 and .01 levels.What should you report and why?

Identify the major difference between the z- and t-obtained formulas.

Conduct a two-tailed t-test for $\bar{X}=50, s_{X}^{2}=20, N=41$ and μ = 48.Use α = .05.Calculate the $t_{o b t}$ .

Interval estimation suggests a where we expect the to fall.

Suppose you're computing a one-sample t-test and you just finished computing your t-obtained.What is the next step for you to take?

Suppose we have a sample mean of 12, estimate standard error of the mean of 2.5, and a t-critical value of 2.306.What would be the lower and upper limits of our confidence interval?

To achieve statistical significance for a one-sample t-test,

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

For a two-tailed test with α = 0.05, the $t_{\mathrm{crit}}$ value is

What happens to the absolute value of $t_{\mathrm{crit}}$ as df increases? It

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

Which of the following is not one of the steps in a one-sample t-test?

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

What is the name of the procedure we can use in the unlikely event that our t-obtained value falls between two t- critical values in the t-table?

Suppose we have a 95% confidence interval of 12.23 and 16.75.What does this mean?

Suppose you conduct an experiment with 20 subjects and the tobtt_{o b t}tobt​ turns out to be 0.69, which is not statistically significant.What is the correct way to report your results?

When is a t-test used instead of a z-test?

Using the data given below, perform a two-tailed t-test to compare the sample mean to μ = 35.5.Use α = .05

Suppose you conduct a one-tailed t-test and your results are significant at both the .05 and .01 levels.What should you report and why?

Identify the major difference between the z- and t-obtained formulas.

Conduct a two-tailed t-test for Xˉ=50,sX2=20,N=41\bar{X}=50, s_{X}^{2}=20, N=41Xˉ=50,sX2​=20,N=41 and μ = 48.Use α = .05.Calculate the tobtt_{o b t}tobt​ .

Interval estimation suggests a ________ where we expect the ________ to fall.

Suppose you're computing a one-sample t-test and you just finished computing your t-obtained.What is the next step for you to take?

Suppose we have a sample mean of 12, estimate standard error of the mean of 2.5, and a t-critical value of 2.306.What would be the lower and upper limits of our confidence interval?

To achieve statistical significance for a one-sample t-test,

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

For a two-tailed test with α = 0.05, the tcritt_{\mathrm{crit}}tcrit​ value is

What happens to the absolute value of tcritt_{\mathrm{crit}}tcrit​ as df increases? It

Suppose you conduct an experiment with 20 subjects and the $t_{o b t}$ turns out to be 0.69, which is not statistically significant.What is the correct way to report your results?

Conduct a two-tailed t-test for $\bar{X}=50, s_{X}^{2}=20, N=41$ and μ = 48.Use α = .05.Calculate the $t_{o b t}$ .

Interval estimation suggests a where we expect the to fall.

For a two-tailed test with α = 0.05, the $t_{\mathrm{crit}}$ value is

What happens to the absolute value of $t_{\mathrm{crit}}$ as df increases? It