Question 1

There is a direct relationship between the power of a test and the probability of a Type II error.

Accepted Answer

A) True 
 B)False  False

Question 2

Which of the following statements is not true?

Accepted Answer

A) The probability of making a Type II error increases as the probability of making a Type I error decreases. 
B) The probability of making a Type II error and the level of significance are the same. 
C) The power of the test decreases as the level of significance decreases. 
D) All of these choices are true. 
A) The probability of making a Type II error increases as the probability of making a Type I error decreases. 
B) The probability of making a Type II error and the level of significance are the same. 
C) The power of the test decreases as the level of significance decreases. 
D) All of these choices are true. B

Question 3

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. C

Question 4

Using a confidence interval when conducting a two-tail test for μ,we do not reject H0 if the hypothesized value for μ:

Accepted Answer

A) is to the left of the lower confidence limit (LCL). 
B) is to the right of the upper confidence limit (UCL). 
C) falls between the LCL and UCL. 
D) falls in the rejection region. 
A) is to the left of the lower confidence limit (LCL). 
B) is to the right of the upper confidence limit (UCL). 
C) falls between the LCL and UCL. 
D) falls in the rejection region.

Question 5

A p-value is usually set at 0.05.

Accepted Answer

A) True 
 B)False

Question 6

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. ​ ​
-{Toaster Oven Narrative} What is the parameter of interest in this situation?

Accepted Answer

The mean power consu

Question 7

The probability of a Type II error is denoted by:

Accepted Answer

A) α 
B) β 
C) 1 − α 
D) 1 − β 
A) α 
B) β 
C) 1 − α 
D) 1 − β

Question 8

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the ____________________ method.The other approach is the p-value method.

Accepted Answer

The answer of There are two approaches to making a...

Question 9

We have created a 95% confidence interval for μ with the result (8,13).What conclusion will we make if we test H0: μ = 15 vs.H1: μ ≠ 15 at α = 0.05?

Accepted Answer

A) Reject H0 in favor of H1 
B) Accept H0 in favor of H1 
C) Fail to reject H0 in favor of H1 
D) We cannot tell what our decision will be from the information given 
A) Reject H0 in favor of H1 
B) Accept H0 in favor of H1 
C) Fail to reject H0 in favor of H1 
D) We cannot tell what our decision will be from the information given

Question 10

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: μ = 80 vs.H₁: μ ≠ 80 Rejecti

Question 11

The probability of a Type I error is denoted by ____________________.

Accepted Answer

The probability of a Type I error is den

Question 12

Suppose that 10 grades are drawn from a normal population whose standard deviation is 15.The observations are:
90 54 78 66 48 72 66 42 60 50
At 99% confidence,you want to determine whether the mean of the population from which this sample was taken is greater than 60.
a.State the null and alternative hypotheses.
b.Compute the value of the test statistic.
c.Compute the p-value.
d.Interpret the results.

Accepted Answer

a. H₀: μ = 60 vs.H₁: μ > 60 b

Question 13

In testing the hypotheses H0: μ = 50 vs.H1: μ ≠ 50,the following information is known: n = 64,   = 53.5,and σ = 10.The standardized test statistic z equals:

Accepted Answer

A) 1.96 
B) −2.80 
C) 2.80 
D) −1.96 
A) 1.96 
B) −2.80 
C) 2.80 
D) −1.96

Question 14

Suppose that 10 observations are drawn from a normal population whose variance is 64.The observations are: 58,62,45,50,59,65,39,40,41,and 52.Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45.

Accepted Answer

H₀: μ = 45,H₁: μ > 45 Test stati

Question 15

If we reject a null hypothesis at the 0.05 level of significance,then we must also reject it at the 0.10 level.

Accepted Answer

A) True 
 B)False

Question 16

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H0 is true.

Accepted Answer

Question 17

Suppose a pickup and delivery company states that their packages arrive within two days or less on average.You want to find out whether the actual average delivery time is longer than this.You conduct a hypothesis test.
a.Set up the null and alternative hypotheses.
b.Suppose you conclude wrongly that the company's statement about average delivery time is within two days.What type of error is being committed and what is the impact of that error?
c.Suppose you conclude wrongly that the delivery company's average time to delivery is in fact longer than two days.What type of error did you commit and what is the impact of this error?
d.Which error is worse from the company's standpoint,a Type I or a Type II error? Why?
e.Which error is worse from a consumer standpoint,a Type I or a Type II error? Why?

Accepted Answer

a. H₀: μ = 2 days vs.H₁: μ > 2 days b.

Question 18

If a researcher rejects a false null hypothesis,she has made a(n)____________________ decision.

Accepted Answer

The answer of If a researcher rejects a false null...

Question 19

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. ​ ​
-{Toaster Oven Narrative} What is the conclusion from the hypothesis test using α = .05?

Accepted Answer

Since the p-value = 0.0064 < .05,we reje

Question 20

If a sample size is increased at a given α level,the probability of committing a Type II error is increased.

Accepted Answer

A) True 
 B)False

There is a direct relationship between the power of a test and the probability of a Type II error.

Which of the following statements is not true?

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

Using a confidence interval when conducting a two-tail test for μ,we do not reject H₀ if the hypothesized value for μ:

A p-value is usually set at 0.05.

The probability of a Type II error is denoted by:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the ____________________ method.The other approach is the p-value method.

We have created a 95% confidence interval for μ with the result (8,13).What conclusion will we make if we test H₀: μ = 15 vs.H₁: μ ≠ 15 at α = 0.05?

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 probability of a Type I error is denoted by ____________________.

In testing the hypotheses H₀: μ = 50 vs.H₁: μ ≠ 50,the following information is known: n = 64, = 53.5,and σ = 10.The standardized test statistic z equals:

Suppose that 10 observations are drawn from a normal population whose variance is 64.The observations are: 58,62,45,50,59,65,39,40,41,and 52.Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45.

If we reject a null hypothesis at the 0.05 level of significance,then we must also reject it at the 0.10 level.

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H₀ is true.

If a researcher rejects a false null hypothesis,she has made a(n)____________________ decision.

If a sample size is increased at a given α level,the probability of committing a Type II error is increased.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

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

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 11: Introduction to Hypothesis Testing

There is a direct relationship between the power of a test and the probability of a Type II error.

Which of the following statements is not true?

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

Using a confidence interval when conducting a two-tail test for μ,we do not reject H0 if the hypothesized value for μ:

A p-value is usually set at 0.05.

The probability of a Type II error is denoted by:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the ____________________ method.The other approach is the p-value method.

We have created a 95% confidence interval for μ with the result (8,13).What conclusion will we make if we test H0: μ = 15 vs.H1: μ ≠ 15 at α = 0.05?

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 probability of a Type I error is denoted by ____________________.

In testing the hypotheses H0: μ = 50 vs.H1: μ ≠ 50,the following information is known: n = 64, = 53.5,and σ = 10.The standardized test statistic z equals:

Suppose that 10 observations are drawn from a normal population whose variance is 64.The observations are: 58,62,45,50,59,65,39,40,41,and 52.Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45.

If we reject a null hypothesis at the 0.05 level of significance,then we must also reject it at the 0.10 level.

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H0 is true.

If a researcher rejects a false null hypothesis,she has made a(n)____________________ decision.

If a sample size is increased at a given α level,the probability of committing a Type II error is increased.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

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

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Using a confidence interval when conducting a two-tail test for μ,we do not reject H₀ if the hypothesized value for μ:

We have created a 95% confidence interval for μ with the result (8,13).What conclusion will we make if we test H₀: μ = 15 vs.H₁: μ ≠ 15 at α = 0.05?

In testing the hypotheses H₀: μ = 50 vs.H₁: μ ≠ 50,the following information is known: n = 64, = 53.5,and σ = 10.The standardized test statistic z equals:

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H₀ is true.