Question 1

What is the parameter of interest in this situation?

Accepted Answer

The mean power consu

Question 2

Marathon Runners: A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: HS1U1B10S1U1B0: $\mu$=25 miles vs. HS1U1B11S1U1B0: $\mu$ $\neq$ 25 miles, a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10, produced a mean of 22.8 miles weekly.
-Explain briefly how to use the confidence interval to test the hypothesis.

Accepted Answer

Since the hypothesized value @#LAT-DLM&<

Question 3

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

Accepted Answer

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

Question 4

If the value of the sample mean    0 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 5

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

Accepted Answer

A) True 
 B)False

Question 6

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 7

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level. The most accurate statement that can be made about the p-value for this test is that:

Accepted Answer

A)  p-value = 0.01. 
B)  p-value = 0.10. 
C)  0.01 < p-value < 0.05. 
D)  0.05 < p-value < 0.10. 
A)  p-value = 0.01. 
B)  p-value = 0.10. 
C)  0.01 < p-value < 0.05. 
D)  0.05 < p-value < 0.10.

Question 8

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: @#LAT-DLM& = 45, H₁: @#LAT-DLM&> 4

Question 9

To test the hypotheses: H0: $\mu$ = 40 vs. H1: $\mu$$\neq$40, we draw a random sample of size 16 from a normal population whose standard deviation is 5. If we set $\alpha$ = 0.01, find the probability of committing a Type II error when $\mu$= 37.

Accepted Answer

@#LAT-DLM&= P(36.781 < @#IMG-DLM& < 43.2

Question 10

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

Accepted Answer

The answer of The probability of a Type I error...

Question 11

Increasing the probability of a Type I error will increase the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

The answer of For a test with a level of...

Question 13

You reject H0 if the p-value of your hypothesis is ____________________ than the significance level.

Accepted Answer

Question 14

If a researcher fails to reject a true null hypothesis, he has made a(n) ____________________ decision.

Accepted Answer

The answer of If a researcher fails to reject a...

Question 15

We have created a 90% confidence interval for $\mu$ with the result (25, 32). What conclusion will we make if we test H0: $\mu$= 28 vs. H1: $\mu$ $\neq$ 28 at $\alpha$ = 0.10?

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 16

If the conclusion of a hypothesis test is that a statistically significant result was found, then the null hypothesis ____________________ (was/was not) rejected.

Accepted Answer

The answer of If the conclusion of a hypothesis test...

Question 17

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

Accepted Answer

The answer of The hypothesis testing procedure begins with the...

Question 18

If a researcher rejects a true null hypothesis, she has made a(n) ____________________ error.

Accepted Answer

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

Question 19

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis.

Accepted Answer

The answer of The ____________________ is a range of values...

Question 20

As the sample size increases, the operating characteristic curves drop down to zero at a(n) ____________________ rate.

Accepted Answer

increased

What is the parameter of interest in this situation?

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

If the value of the sample mean $If the value of the sample mean 0 is close enough to the hypothesized value \mu <sub>0</sub> of the population mean \mu , then:$ 0 is close enough to the hypothesized value $\mu$ ₀ of the population mean $\mu$ , then:

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

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

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level. The most accurate statement that can be made about the p-value for this test is that:

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.

To test the hypotheses: H₀: $\mu$ = 40 vs. H₁: $\mu$ $\neq$ 40, we draw a random sample of size 16 from a normal population whose standard deviation is 5. If we set $\alpha$ = 0.01, find the probability of committing a Type II error when $\mu$ = 37.

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

Increasing the probability of a Type I error will increase the probability of a Type II error.

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

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

If a researcher fails to reject a true null hypothesis, he has made a(n) ____________________ decision.

We have created a 90% confidence interval for $\mu$ with the result (25, 32). What conclusion will we make if we test H₀: $\mu$ = 28 vs. H₁: $\mu$ $\neq$ 28 at $\alpha$ = 0.10?

If the conclusion of a hypothesis test is that a statistically significant result was found, then the null hypothesis ____________________ (was/was not) rejected.

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

If a researcher rejects a true null hypothesis, she has made a(n) ____________________ error.

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis.

As the sample size increases, the operating characteristic curves drop down to zero at a(n) ____________________ rate.

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

What is the parameter of interest in this situation?

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

If the value of the sample mean 0 is close enough to the hypothesized value μ\muμ 0 of the population mean μ\muμ , then:

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

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

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level. The most accurate statement that can be made about the p-value for this test is that:

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.

To test the hypotheses: H0: μ\muμ = 40 vs. H1: μ\muμ≠\neq= 40, we draw a random sample of size 16 from a normal population whose standard deviation is 5. If we set α\alphaα = 0.01, find the probability of committing a Type II error when μ\muμ = 37.

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

Increasing the probability of a Type I error will increase the probability of a Type II error.

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

You reject H0 if the p-value of your hypothesis is ____________________ than the significance level.

If a researcher fails to reject a true null hypothesis, he has made a(n) ____________________ decision.

We have created a 90% confidence interval for μ\muμ with the result (25, 32). What conclusion will we make if we test H0: μ\muμ = 28 vs. H1: μ\muμ ≠\neq= 28 at α\alphaα = 0.10?

If the conclusion of a hypothesis test is that a statistically significant result was found, then the null hypothesis ____________________ (was/was not) rejected.

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

If a researcher rejects a true null hypothesis, she has made a(n) ____________________ error.

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis.

As the sample size increases, the operating characteristic curves drop down to zero at a(n) ____________________ rate.

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

If the value of the sample mean $If the value of the sample mean 0 is close enough to the hypothesized value \mu <sub>0</sub> of the population mean \mu , then:$ 0 is close enough to the hypothesized value $\mu$ ₀ of the population mean $\mu$ , then:

To test the hypotheses: H₀: $\mu$ = 40 vs. H₁: $\mu$ $\neq$ 40, we draw a random sample of size 16 from a normal population whose standard deviation is 5. If we set $\alpha$ = 0.01, find the probability of committing a Type II error when $\mu$ = 37.

You reject H₀ if the p-value of your hypothesis is ____________________ than the significance level.

We have created a 90% confidence interval for $\mu$ with the result (25, 32). What conclusion will we make if we test H₀: $\mu$ = 28 vs. H₁: $\mu$ $\neq$ 28 at $\alpha$ = 0.10?