Question 1

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

Accepted Answer

A)  The OC curve plots the values of $\beta$ versus the values of $\mu$ . 
B)  The OC curve plots the values of $\alpha$ versus the values of $\beta$. 
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 $\beta$ versus the values of $\mu$ . 
B)  The OC curve plots the values of $\alpha$ versus the values of $\beta$. 
C)  The OC curve can be useful in selecting a sample size n. 
D)  None of these choices.

Question 2

The ____________________ of a test is a measure of its performance.

Accepted Answer

The answer of The ____________________ of a test is a...

Question 3

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 4

If we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 5

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: @#LAT-DLM& = 2 days vs.H₁: @#LAT-DLM& > 2 days b. You d

Question 6

Watching the News
A researcher claims viewers spend an average of 40 minutes per day watching the news.You think the average is higher than that.In testing your hypotheses HS1U1B10S1U1B0: $\mu$ = 40 vs.HS1U1B11S1U1B0:$\mu$ > 40, the following information came from your random sample of viewers:   = 42 minutes, n = 25.Assume$\sigma$ = 5.5, and $\alpha$= 0.10.
-{Watching the News Narrative} Set up the rejection region.

Accepted Answer

The answer of Watching the News
A researcher claims viewers spend...

Question 7

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 8

In testing the hypothesis H0: F$\mu$=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 9

A null hypothesis is a statement about the value of a population parameter.

Accepted Answer

A) True 
 B)False

Question 10

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( @#IMG-DLM& < 54.113 give

Question 11

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.

Question 12

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} For a test with a level of significance of 0.05, determine the critical value.

Accepted Answer

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

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

A(n) ____________________ characteristic curve plots the probability of a Type II error for various alternative values of ____________________.

Accepted Answer

The answer of A(n) ____________________ characteristic curve plots the probability...

Question 15

In testing the hypotheses H0: $\mu$= 800 vs.H1: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

Accepted Answer

A)  0.0401 
B)  0.0802 
C)  0.4599 
D)  0.9599 
A)  0.0401 
B)  0.0802 
C)  0.4599 
D)  0.9599

Question 16

Which of the following is an appropriate null hypothesis?

Accepted Answer

A)  The mean of a population is equal to 60. 
B)  The mean of a sample is equal to 60. 
C)  The mean of a population is not equal to 60. 
D)  All of these choices are true. 
A)  The mean of a population is equal to 60. 
B)  The mean of a sample is equal to 60. 
C)  The mean of a population is not equal to 60. 
D)  All of these choices are true.

Question 17

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 18

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 19

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 20

Suppose we wish to test H0: $\mu$ =45vs.H1: $\mu$ > 45.What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

Accepted Answer

A)  We have made a Type I error. 
B)  We have made a Type II error. 
C)  We have made both a Type I error and a Type II error. 
D)  We have made the correct decision. 
A)  We have made a Type I error. 
B)  We have made a Type II error. 
C)  We have made both a Type I error and a Type II error. 
D)  We have made the correct decision.

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

The ____________________ of a test is a measure of its performance.

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.

If we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.

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

In testing the hypothesis H₀: F $\mu$ =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?

A null hypothesis is a statement about the value of a population parameter.

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.

Which of the following statements is not true?

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

A(n) characteristic curve plots the probability of a Type II error for various alternative values of .

In testing the hypotheses H₀: $\mu$ = 800 vs.H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

Which of the following is an appropriate null hypothesis?

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

We cannot commit a Type I error when the:

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

Suppose we wish to test H₀: $\mu$ =45vs.H₁: $\mu$ > 45.What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

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

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 11: Introduction to Hypothesis Testing

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

The ____________________ of a test is a measure of its performance.

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.

If we reject the null hypothesis, we conclude that there is enough statistical evidence to infer that the alternative hypothesis is true.

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

In testing the hypothesis H0: F 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?

A null hypothesis is a statement about the value of a population parameter.

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.

Which of the following statements is not true?

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

A(n) ____________________ characteristic curve plots the probability of a Type II error for various alternative values of ____________________.

In testing the hypotheses H0: μ\muμ = 800 vs.H1: μ\muμ ≠\neq= 800, if the value of the test statistic equals 1.75, then the p-value is:

Which of the following is an appropriate null hypothesis?

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

We cannot commit a Type I error when the:

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

Suppose we wish to test H0: μ\muμ =45vs.H1: μ\muμ > 45.What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

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

Simple Linear Regression and Correlation

Multiple Regression

Filters

In testing the hypothesis H₀: F $\mu$ =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?

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 a sample size is increased at a given $\alpha$ level, the probability of committing a Type II error is increased.

A(n) characteristic curve plots the probability of a Type II error for various alternative values of .

In testing the hypotheses H₀: $\mu$ = 800 vs.H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

Suppose we wish to test H₀: $\mu$ =45vs.H₁: $\mu$ > 45.What will result if we conclude that the mean is greater than 45 when the actual mean is 50?