Question 1

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 2

A Type I error is committed if we make:

Accepted Answer

A) a correct decision when the null hypothesis is false. 
B) a correct decision when the null hypothesis is true. 
C) an incorrect decision when the null hypothesis is false. 
D) an incorrect decision when the null hypothesis is true. 
A) a correct decision when the null hypothesis is false. 
B) a correct decision when the null hypothesis is true. 
C) an incorrect decision when the null hypothesis is false. 
D) an incorrect decision when the null hypothesis is true.

Question 3

In testing the hypothesis H0: μ = 100 vs.H1: μ > 100,the p-value is found to be 0.074,and the sample mean is 105.Which of the following statements is true?

Accepted Answer

A) The probability of observing a sample mean at least as large as 105 from a population whose mean is 100 is 0.074. 
B) The probability of observing a sample mean smaller than 105 from a population whose mean is 100 is 0.074. 
C) The probability that the population mean is larger than 100 is 0.074. 
D) None of these choices. 
A) The probability of observing a sample mean at least as large as 105 from a population whose mean is 100 is 0.074. 
B) The probability of observing a sample mean smaller than 105 from a population whose mean is 100 is 0.074. 
C) The probability that the population mean is larger than 100 is 0.074. 
D) None of these choices.

Question 4

The rejection region for testing H0: μ = 80 vs.H1: μ < 80,at the 0.10 level of significance is:

Accepted Answer

A) z > 1.96 B) z 1.28 D) z < −1.28 A) z > 1.96 B) z 1.28 D) z < −1.28

Question 5

Suppose an auto manufacturer states that their car goes from 0 to 60 miles per hour in 10 seconds on average,and you suspect that time is longer.
a.Set up the null and alternative hypotheses to test this claim.
b.Explain how you know which is the null hypothesis and which is the alternative hypothesis.

Accepted Answer

a. H₀: μ = 10 seconds vs.H₁: μ > 10 second

Question 6

The statement of the null hypothesis always includes an equals sign (=).

Accepted Answer

A) True 
 B)False

Question 7

In testing a hypothesis,statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

Accepted Answer

A) True 
 B)False

Question 8

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} State the appropriate hypotheses for the consumer group to do their test.

Accepted Answer

H₀: μ = 250

Question 9

With the following p-values,would you reject or fail to reject the null hypothesis? Comment on the statistical significance of each result.(Assume you normally reject H0 at level 0.08.)
a.p-value = 0.0025
b.p-value = 0.0328
c.p-value = 0.0795
d.p-value = 0.1940

Accepted Answer

a. There is overwhelming evidence to rej

Question 10

In a two-tail test for the population mean,the null hypothesis will be rejected at α level of significance if the value of the standardized test statistic z is such that:

Accepted Answer

A) z > zα 
B) z  zα / 2 
A) z > zα 
B) z  zα / 2

Question 11

Which of the following statements is false regarding the operating characteristic (OC)curve?

Accepted Answer

A) The OC curve plots the values of β versus the values of μ. 
B) The OC curve plots the values of α versus the values of β. 
C) The OC curve can be useful in selecting a sample size n. 
D) None of these choices. 
A) The OC curve plots the values of β versus the values of μ. 
B) The OC curve plots the values of α versus the values of β. 
C) The OC curve can be useful in selecting a sample size n. 
D) None of these choices.

Question 12

To increase the power of a test,____________________ the sample size.

Accepted Answer

The answer of To increase the power of a test,____________________...

Question 13

Rechargeable Batteries
 A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours).In testing the hypotheses,HS1U1B10S1U1B0: μ = 950 hours vs.HS1U1B11S1U1B0: μ ≠ 950 hours,a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours. ​ ​
-{Rechargeable Batteries Narrative} Review the results of the previous questions.What is the effect of decreasing the significance level on the value on β?

Accepted Answer

β increase

Question 14

In a one-tail test,the p-value is found to be equal to 0.054.If the test had been two-tail,then the p-value would have been 0.027.

Accepted Answer

A) True 
 B)False

Question 15

The p-value of a test is the smallest α at which the null hypothesis can be rejected.

Accepted Answer

A) True 
 B)False

Question 16

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

Accepted Answer

A) p-value = α 
B) p-value  α 
D) −α < p-value < α 
A) p-value = α 
B) p-value  α 
D) −α < p-value < α

Question 17

The larger the p-value,the more likely one is to reject the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 18

The hypothesis testing procedure begins with the assumption that the null hypothesis is ____________________.

Accepted Answer

A) True 
 B)False

Question 19

We cannot commit a Type I error when the:

Accepted Answer

A) null hypothesis is true. 
B) level of significance is 0.10. 
C) null hypothesis is false. 
D) test is a two-tail test. 
A) null hypothesis is true. 
B) level of significance is 0.10. 
C) null hypothesis is false. 
D) test is a two-tail test.

Question 20

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.

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:

A Type I error is committed if we make:

In testing the hypothesis H₀: μ = 100 vs.H₁: μ > 100,the p-value is found to be 0.074,and the sample mean is 105.Which of the following statements is true?

The rejection region for testing H₀: μ = 80 vs.H₁: μ < 80,at the 0.10 level of significance is:

The statement of the null hypothesis always includes an equals sign (=).

In testing a hypothesis,statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

With the following p-values,would you reject or fail to reject the null hypothesis? Comment on the statistical significance of each result.(Assume you normally reject H₀ at level 0.08.) a.p-value = 0.0025 b.p-value = 0.0328 c.p-value = 0.0795 d.p-value = 0.1940

In a two-tail test for the population mean,the null hypothesis will be rejected at α level of significance if the value of the standardized test statistic z is such that:

Which of the following statements is false regarding the operating characteristic (OC)curve?

To increase the power of a test,____________________ the sample size.

In a one-tail test,the p-value is found to be equal to 0.054.If the test had been two-tail,then the p-value would have been 0.027.

The p-value of a test is the smallest α at which the null hypothesis can be rejected.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

The larger the p-value,the more likely one is to reject the null hypothesis.

The hypothesis testing procedure begins with the assumption that the null hypothesis is ____________________.

We cannot commit a Type I error when the:

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

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

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:

A Type I error is committed if we make:

In testing the hypothesis H0: μ = 100 vs.H1: μ > 100,the p-value is found to be 0.074,and the sample mean is 105.Which of the following statements is true?

The rejection region for testing H0: μ = 80 vs.H1: μ < 80,at the 0.10 level of significance is:

The statement of the null hypothesis always includes an equals sign (=).

In testing a hypothesis,statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

With the following p-values,would you reject or fail to reject the null hypothesis? Comment on the statistical significance of each result.(Assume you normally reject H0 at level 0.08.) a.p-value = 0.0025 b.p-value = 0.0328 c.p-value = 0.0795 d.p-value = 0.1940

In a two-tail test for the population mean,the null hypothesis will be rejected at α level of significance if the value of the standardized test statistic z is such that:

Which of the following statements is false regarding the operating characteristic (OC)curve?

To increase the power of a test,____________________ the sample size.

In a one-tail test,the p-value is found to be equal to 0.054.If the test had been two-tail,then the p-value would have been 0.027.

The p-value of a test is the smallest α at which the null hypothesis can be rejected.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

The larger the p-value,the more likely one is to reject the null hypothesis.

The hypothesis testing procedure begins with the assumption that the null hypothesis is ____________________.

We cannot commit a Type I error when the:

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

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

In testing the hypothesis H₀: μ = 100 vs.H₁: μ > 100,the p-value is found to be 0.074,and the sample mean is 105.Which of the following statements is true?

The rejection region for testing H₀: μ = 80 vs.H₁: μ < 80,at the 0.10 level of significance is:

With the following p-values,would you reject or fail to reject the null hypothesis? Comment on the statistical significance of each result.(Assume you normally reject H₀ at level 0.08.) a.p-value = 0.0025 b.p-value = 0.0328 c.p-value = 0.0795 d.p-value = 0.1940