Question 1

You cannot commit a(n) ____________________ error when the null hypothesis is false.

Accepted Answer

The answer of You cannot commit a(n) ____________________ error when...

Question 2

During the last energy crisis, a government official claimed that the average car owner refills the tank when there is more than 3 gallons left. To check the claim, 10 cars were surveyed as they entered a gas station. The amount of gas remaining before refill was measured and recorded as follows (in gallons): 3, 5, 3, 2, 3, 3, 2, 6, 4, and 1. Assume that the amount of gas remaining in tanks is normally distributed with a standard deviation of 1 gallon. Compute the probability of a Type II error and the power of the test if the true average amount of gas remaining in tanks is 3.5 gallons.

Accepted Answer

@#LAT-DLM& = P( @#IMG-DLM& < 3.4 given t

Question 3

In testing the hypotheses H0: $\mu$ =75 vs. H1: $\mu$ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

Accepted Answer

A)  0.5078 
B)  2.4200 
C)  0.9922 
D)  0.0078 
A)  0.5078 
B)  2.4200 
C)  0.9922 
D)  0.0078

Question 4

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 5

Probabilities for Type I and Type II errors are actually ____________________ probabilities.

Accepted Answer

The answer of Probabilities for Type I and Type II...

Question 6

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 7

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05?

Accepted Answer

A)  0.150 
B)  0.100 
C)  0.051 
D)  0.025 
A)  0.150 
B)  0.100 
C)  0.051 
D)  0.025

Question 8

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 9

LSAT Scores: The Admissions officer for the graduate programs at the University of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300. An accepted standard deviation for LSAT scores is 125. A random sample of 25 scores had an average of 1,375.
-Calculate the p-value.

Accepted Answer

The answer of LSAT Scores: The Admissions officer for the...

Question 10

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 11

What is the value of the test statistic?

Accepted Answer

The answer of What is the value of the test...

Question 12

A Type I error occurs when we:

Accepted Answer

A)  reject a false null hypothesis. 
B)  reject a true null hypothesis. 
C)  don't reject a false null hypothesis. 
D)  don't reject a true null hypothesis. 
A)  reject a false null hypothesis. 
B)  reject a true null hypothesis. 
C)  don't reject a false null hypothesis. 
D)  don't reject a true null hypothesis.

Question 13

For a given level of significance, if the sample size is increased, the probability of committing a Type II error will ____________________.

Accepted Answer

The answer of For a given level of significance, if...

Question 14

For a given level of significance, if the sample size is increased, the probability of committing a Type II error will increase.

Accepted Answer

A) True 
 B)False

Question 15

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

Accepted Answer

A) True 
 B)False

Question 16

The power of a test plus the probability of a Type II error equals ____________________.

Accepted Answer

The answer of The power of a test plus the...

Question 17

State the null and alternative hypotheses.

Accepted Answer

H<sub>0</s

Question 18

A spouse suspects that the average amount of money spent on Christmas gifts for immediate family members is above $1,200. The correct set of hypotheses is:

Accepted Answer

A)  H0: $\mu$ = 1200 vs. H1: $\mu$$\lt$ 1200 
B)  H0: $\mu$ $\gt$ 1200 vs. H1: $\mu$ = 1200 
C)  H0: $\mu$ =1200 vs. H1: $\mu$$\gt$ 1200 
D)  H0: $\mu$ $\lt$ 1200 vs. H1: $\mu$=1200 
A)  H0: $\mu$ = 1200 vs. H1: $\mu$$\lt$ 1200 
B)  H0: $\mu$ $\gt$ 1200 vs. H1: $\mu$ = 1200 
C)  H0: $\mu$ =1200 vs. H1: $\mu$$\gt$ 1200 
D)  H0: $\mu$ $\lt$ 1200 vs. H1: $\mu$=1200

You cannot commit a(n) ____________________ error when the null hypothesis is false.

In testing the hypotheses H₀: $\mu$ =75 vs. H₁: $\mu$ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

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

Probabilities for Type I and Type II errors are actually ____________________ probabilities.

A Type I error is committed if we make:

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05?

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?

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.

What is the value of the test statistic?

A Type I error occurs when we:

For a given level of significance, if the sample size is increased, the probability of committing a Type II error will ____________________.

For a given level of significance, if the sample size is increased, the probability of committing a Type II error will increase.

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

The power of a test plus the probability of a Type II error equals ____________________.

State the null and alternative hypotheses.

A spouse suspects that the average amount of money spent on Christmas gifts for immediate family members is above $1,200. The correct set of hypotheses is:

What Is Statistics

Graphical and Tabular Descriptive Techniques

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, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 10: Introduction to Hypothesis Testing

You cannot commit a(n) ____________________ error when the null hypothesis is false.

In testing the hypotheses H0: μ\muμ =75 vs. H1: μ\muμ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

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

Probabilities for Type I and Type II errors are actually ____________________ probabilities.

A Type I error is committed if we make:

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05?

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?

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.

What is the value of the test statistic?

A Type I error occurs when we:

For a given level of significance, if the sample size is increased, the probability of committing a Type II error will ____________________.

For a given level of significance, if the sample size is increased, the probability of committing a Type II error will increase.

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

The power of a test plus the probability of a Type II error equals ____________________.

State the null and alternative hypotheses.

A spouse suspects that the average amount of money spent on Christmas gifts for immediate family members is above $1,200. The correct set of hypotheses is:

What Is Statistics

Graphical and Tabular Descriptive Techniques

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, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

In testing the hypotheses H₀: $\mu$ =75 vs. H₁: $\mu$ < 75, if the value of the test statistic z equals -2.42, then the p-value is:

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?

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.

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