Question 1

For a given sample size n, if the level of significance $\alpha$is decreased, the power of the test will:

Accepted Answer

A) increase. 
B) decrease. 
C) remain the same. 
D) Not enough information to tell. 
A) increase. 
B) decrease. 
C) remain the same. 
D) Not enough information to tell.

Question 2

NARRBEGIN: Toaster Oven
Toaster Oven
An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W.NARREND
-{Toaster Oven Narrative} What is the parameter of interest in this situation?

Accepted Answer

The mean power consu

Question 3

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

Accepted Answer

A) True 
 B)False

Question 4

NARRBEGIN: Toaster Oven
Toaster Oven
An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group suspects the actual average is more than 250 W. They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W.NARREND
-{Toaster Oven Narrative} Calculate the p-value of the test.

Accepted Answer

The answer of NARRBEGIN: Toaster Oven
Toaster Oven
An appliance manufacturer claims...

Question 5

A one-tail p-value is two times the size of a two-tail test.

Accepted Answer

A) True 
 B)False

Question 6

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H0:$\mu$= 12 vs. H1: $\mu$$\neq$ 12, H0 could not be rejected at the 0.05 level.

Accepted Answer

A) True 
 B)False

Question 7

If a hypothesis is not rejected at the 0.10 level of significance, it:

Accepted Answer

A) must be rejected at the 0.05 level. 
B) may be rejected at the 0.05 level. 
C) will not be rejected at the 0.05 level. 
D) must be rejected at the 0.025 level. 
A) must be rejected at the 0.05 level. 
B) may be rejected at the 0.05 level. 
C) will not be rejected at the 0.05 level. 
D) must be rejected at the 0.025 level.

Question 8

A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75. Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?

Accepted Answer

H₀: @#LAT-DLM& = 80 vs. H₁: @#LAT-DLM& @#LAT-DLM&80 Rejection

Question 9

The critical values will bound the rejection and non-rejection regions for the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 10

If a researcher fails to reject a true null hypothesis, he has made a(n) ____________________ decision.

Accepted Answer

The answer of If a researcher fails to reject a...

Question 11

Calculate the probability of a Type II error for the hypothesis test: H0: $\mu$ = 50 vs. H1: $\mu$ > 50, given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10, and n = 16.

Accepted Answer

@#LAT-DLM& = P( @#LAT-DLM& < 54.113 give

Question 12

Explain why a Type I error and a Type II error have an inverse relationship.

Accepted Answer

In order to reduce the chance of a False

Question 13

The p-value is the probability that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 14

Which of the following conclusions is not an appropriate conclusion from a hypothesis test?

Accepted Answer

A) Reject H0. Sufficient evidence to support H1. 
B) Fail to reject H0. Insufficient evidence to support H1. 
C) Accept H0. Sufficient evidence to support H0. 
D) All of these choices are true. 
A) Reject H0. Sufficient evidence to support H1. 
B) Fail to reject H0. Insufficient evidence to support H1. 
C) Accept H0. Sufficient evidence to support H0. 
D) All of these choices are true.

Question 15

NARRBEGIN: Marathon Runners
Marathon Runners
A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: HS1U1B10S1U1B0: $\mu$ =25 miles vs. HS1U1B11S1U1B0: $\mu$$\neq$ 25 miles, a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10, produced a mean of 22.8 miles weekly.NARREND
-{Marathon Runners Narrative} What can we conclude at the 5% significance level regarding the null hypothesis?

Accepted Answer

Fail to reject H₀. No

Question 16

It is possible to commit a Type I error and a Type II error at the same time.

Accepted Answer

A) True 
 B)False

Question 17

The probability of a test statistic falling in the rejection region is equal to the value of ____________________.

Accepted Answer

@#LAT-DLM&
the signi

Question 18

In a one-tail test, the p-value is found to be equal to 0.068. If the test had been two-tail, the p-value would have been:

Accepted Answer

A) 0.932 
B) 0.466 
C) 0.034 
D) 0.136 
A) 0.932 
B) 0.466 
C) 0.034 
D) 0.136

Question 19

The power of a test is measured by its capability of:

Accepted Answer

A) rejecting a null hypothesis that is true. 
B) not rejecting a null hypothesis that is true. 
C) rejecting a null hypothesis that is false. 
D) not rejecting a null hypothesis that is false. 
A) rejecting a null hypothesis that is true. 
B) not rejecting a null hypothesis that is true. 
C) rejecting a null hypothesis that is false. 
D) not rejecting a null hypothesis that is false.

Question 20

If the p value is less than $\alpha$ in a two-tail test:

Accepted Answer

A) the null hypothesis should not be rejected. 
B) the null hypothesis should be rejected. 
C) a one-tail test should be used. 
D) No conclusion should be reached. 
A) the null hypothesis should not be rejected. 
B) the null hypothesis should be rejected. 
C) a one-tail test should be used. 
D) No conclusion should be reached.

For a given sample size n, if the level of significance $\alpha$ is decreased, the power of the test will:

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

A one-tail p-value is two times the size of a two-tail test.

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H₀: $\mu$ = 12 vs. H₁: $\mu$ $\neq$ 12, H₀ could not be rejected at the 0.05 level.

If a hypothesis is not rejected at the 0.10 level of significance, it:

A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75. Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?

The critical values will bound the rejection and non-rejection regions for the null hypothesis.

If a researcher fails to reject a true null hypothesis, he has made a(n) ____________________ decision.

Calculate the probability of a Type II error for the hypothesis test: H₀: $\mu$ = 50 vs. H₁: $\mu$ > 50, given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10, and n = 16.

Explain why a Type I error and a Type II error have an inverse relationship.

The p-value is the probability that the null hypothesis is true.

Which of the following conclusions is not an appropriate conclusion from a hypothesis test?

It is possible to commit a Type I error and a Type II error at the same time.

The probability of a test statistic falling in the rejection region is equal to the value of ____________________.

In a one-tail test, the p-value is found to be equal to 0.068. If the test had been two-tail, the p-value would have been:

The power of a test is measured by its capability of:

If the p value is less than $\alpha$ in a two-tail test:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 11: Introduction to Hypothesis Testing

For a given sample size n, if the level of significance α\alphaα is decreased, the power of the test will:

For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

A one-tail p-value is two times the size of a two-tail test.

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H0: μ\muμ = 12 vs. H1: μ\muμ≠\neq= 12, H0 could not be rejected at the 0.05 level.

If a hypothesis is not rejected at the 0.10 level of significance, it:

A random sample of 100 observations from a normal population whose standard deviation is 50 produced a mean of 75. Does this statistic provide sufficient evidence at the 5% level of significance to infer that the population mean is not 80?

The critical values will bound the rejection and non-rejection regions for the null hypothesis.

If a researcher fails to reject a true null hypothesis, he has made a(n) ____________________ decision.

Calculate the probability of a Type II error for the hypothesis test: H0: μ\muμ = 50 vs. H1: μ\muμ > 50, given that μ\muμ = 55, α\alphaα = 0.05, σ\sigmaσ = 10, and n = 16.

Explain why a Type I error and a Type II error have an inverse relationship.

The p-value is the probability that the null hypothesis is true.

Which of the following conclusions is not an appropriate conclusion from a hypothesis test?

It is possible to commit a Type I error and a Type II error at the same time.

The probability of a test statistic falling in the rejection region is equal to the value of ____________________.

In a one-tail test, the p-value is found to be equal to 0.068. If the test had been two-tail, the p-value would have been:

The power of a test is measured by its capability of:

If the p value is less than α\alphaα in a two-tail test:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

For a given sample size n, if the level of significance $\alpha$ is decreased, the power of the test will:

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H₀: $\mu$ = 12 vs. H₁: $\mu$ $\neq$ 12, H₀ could not be rejected at the 0.05 level.

Calculate the probability of a Type II error for the hypothesis test: H₀: $\mu$ = 50 vs. H₁: $\mu$ > 50, given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10, and n = 16.

If the p value is less than $\alpha$ in a two-tail test: