Question 1

If we do not reject the null hypothesis,we conclude that there is enough statistical evidence to infer that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 2

Using the confidence interval when conducting a two-tail test for the population mean$\mu$,we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

Accepted Answer

A) True 
 B)False

Question 3

If the value of the sample mean $\bar { x }$   is close enough to the hypothesized value $\mu$0 of the population mean$\mu$,then:

Accepted Answer

A)  the value of$\mu$0 is definitely correct. 
B)  the value of $\mu$0 is definitely wrong. 
C)  we reject the null hypothesis. 
D)  we cannot reject the null hypothesis. 
A)  the value of$\mu$0 is definitely correct. 
B)  the value of $\mu$0 is definitely wrong. 
C)  we reject the null hypothesis. 
D)  we cannot reject the null hypothesis.

Question 4

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 5

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

Accepted Answer

@#LAT-DLM&
the signi

Question 6

The p-value of a test is the:

Accepted Answer

A)  smallest $\alpha$ at which the null hypothesis can be rejected. 
B)  largest $\alpha$ at which the null hypothesis can be rejected. 
C)  smallest $\alpha$ at which the null hypothesis cannot be rejected. 
D)  largest $\alpha$ at which the null hypothesis cannot be rejected. 
A)  smallest $\alpha$ at which the null hypothesis can be rejected. 
B)  largest $\alpha$ at which the null hypothesis can be rejected. 
C)  smallest $\alpha$ at which the null hypothesis cannot be rejected. 
D)  largest $\alpha$ at which the null hypothesis cannot be rejected.

Question 7

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} Calculate the p-value of the test.

Accepted Answer

The answer of Toaster Oven
An appliance manufacturer claims to have...

Question 8

A p-value is a probability,and must be between 0 and 1.

Accepted Answer

A) True 
 B)False

Question 9

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 10

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 11

A one-tail test for the population mean $\mu$produces a test-statistic z = -0.75.The p-value associated with the test is 0.7734.

Accepted Answer

A) True 
 B)False

Question 12

If a test of hypothesis has a Type I error probability of .05,this means that:

Accepted Answer

A)  if the null hypothesis is true,we don't reject if 5% of the time. 
B)  if the null hypothesis is true,we reject it 5% of the time. 
C)  if the null hypothesis is false,we don't reject it 5% of the time. 
D)  if the null hypothesis is false,we reject it 5% of the time. 
A)  if the null hypothesis is true,we don't reject if 5% of the time. 
B)  if the null hypothesis is true,we reject it 5% of the time. 
C)  if the null hypothesis is false,we don't reject it 5% of the time. 
D)  if the null hypothesis is false,we reject it 5% of the time.

Question 13

If we reject the null hypothesis,we conclude that:

Accepted Answer

A)  there is enough statistical evidence to infer that the alternative hypothesis is true. 
B)  there is not enough statistical evidence to infer that the alternative hypothesis is true. 
C)  there is enough statistical evidence to infer that the null hypothesis is true. 
D)  there is not enough statistical evidence to infer that the null hypothesis is true. 
A)  there is enough statistical evidence to infer that the alternative hypothesis is true. 
B)  there is not enough statistical evidence to infer that the alternative hypothesis is true. 
C)  there is enough statistical evidence to infer that the null hypothesis is true. 
D)  there is not enough statistical evidence to infer that the null hypothesis is true.

Question 14

There is an inverse relationship between the probabilities of Type I and Type II errors;as one increases,the other decreases,and vice versa.

Accepted Answer

A) True 
 B)False

Question 15

An alternative or research hypothesis is an assertion that holds if the null hypothesis is false.

Accepted Answer

A) True 
 B)False

Question 16

In a criminal trial,a Type II error is made when an innocent person is acquitted.

Accepted Answer

A) True 
 B)False

Question 17

In testing the hypothesis H0: $\mu$=100 vs.H1: $\mu$> 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 18

The numerical quantity computed from the data that is used in deciding whether to reject H0 is the:

Accepted Answer

A)  significance level. 
B)  critical value. 
C)  test statistic. 
D)  parameter. 
A)  significance level. 
B)  critical value. 
C)  test statistic. 
D)  parameter.

Question 19

We have created a 95% confidence interval for $\mu$with the results (10,25).What conclusion will we make if we test H0: $\mu$ = 26 vs.H1: $\mu$$\neq$ 26 at $\alpha$ = 0.025?

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 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 from the information given.

Question 20

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.

Exam 11: Introduction to Hypothesis Testing

If we do not reject the null hypothesis,we conclude that there is enough statistical evidence to infer that the null hypothesis is true.

Using the confidence interval when conducting a two-tail test for the population mean μ\muμ ,we do not reject the null hypothesis if the hypothesized value for μ\muμ falls between the lower and upper confidence limits.

If the value of the sample mean xˉ\bar { x }xˉ is close enough to the hypothesized value μ\muμ 0 of the population mean μ\muμ ,then:

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

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

The p-value of a test is the:

A p-value is a probability,and must be between 0 and 1.

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

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

A one-tail test for the population mean μ\muμ produces a test-statistic z = -0.75.The p-value associated with the test is 0.7734.

If a test of hypothesis has a Type I error probability of .05,this means that:

If we reject the null hypothesis,we conclude that:

There is an inverse relationship between the probabilities of Type I and Type II errors;as one increases,the other decreases,and vice versa.

An alternative or research hypothesis is an assertion that holds if the null hypothesis is false.

In a criminal trial,a Type II error is made when an innocent person is acquitted.

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

The numerical quantity computed from the data that is used in deciding whether to reject H0 is the:

We have created a 95% confidence interval for μ\muμ with the results (10,25).What conclusion will we make if we test H0: μ\muμ = 26 vs.H1: μ\muμ≠\neq= 26 at α\alphaα = 0.025?

Which of the following statements is not true?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ ,we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

If the value of the sample mean $\bar { x }$ is close enough to the hypothesized value $\mu$ ₀ of the population mean $\mu$ ,then:

A one-tail test for the population mean $\mu$ produces a test-statistic z = -0.75.The p-value associated with the test is 0.7734.

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

The numerical quantity computed from the data that is used in deciding whether to reject H₀ is the:

We have created a 95% confidence interval for $\mu$ with the results (10,25).What conclusion will we make if we test H₀: $\mu$ = 26 vs.H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?