Question 1

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 2

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

Accepted Answer

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

Question 3

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

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

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

Accepted Answer

A) True 
 B)False

Question 6

NARRBEGIN: Rechargeable Batteries
Rechargeable Batteries
A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours). In testing the hypotheses, HS1U1B10S1U1B0: $\mu$ = 950 hours vs. HS1U1B11S1U1B0: $\mu$ =950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.NARREND
-{Rechargeable Batteries Narrative} Calculate the power of the test when $\mu$ = 1000 and $\alpha$ = 0.10.

Accepted Answer

Power = 1

Question 7

The probability of a Type I error is denoted by:

Accepted Answer

A) $\beta$ 
B) 1- $\beta$ 
C) $\alpha$ 
D) 1 - $\alpha$ 
A) $\beta$ 
B) 1- $\beta$ 
C) $\alpha$ 
D) 1 - $\alpha$

Question 8

The critical values z$\alpha$ or z$\alpha$ / 2 are the boundary values for:

Accepted Answer

A) the rejection region(s). 
B) the level of significance. 
C) Type I error. 
D) Type II error. 
A) the rejection region(s). 
B) the level of significance. 
C) Type I error. 
D) Type II error.

Question 9

NARRBEGIN: Toaster Oven
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.NARREND
-{Toaster Oven Narrative} What is the value of the test statistic?

Accepted Answer

The answer of NARRBEGIN: Toaster Oven
Toaster Oven
An appliance manufacturer claims...

Question 10

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 < @#LAT-DLM& < 43.

Question 11

The rejection region for testing H0: $\mu$ = 80 vs. H1: $\mu$ < 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 12

NARRBEGIN: Marathon Runners
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.NARREND
-{Marathon Runners Narrative} Explain briefly how to use the confidence interval to test the hypothesis.

Accepted Answer

Since the hypothesized value @#LAT-DLM&₀

Question 13

NARRBEGIN: LSAT Scores
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.NARREND
-{LSAT Scores Narrative} Calculate the value of the test statistic and set up the rejection region at the 0.025 level. What is your conclusion?

Accepted Answer

Test statistic: z = 3.0
Rejection region

Question 14

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 15

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

Accepted Answer

A) True 
 B)False

Question 16

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 17

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 18

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

Accepted Answer

A) a two-tail test for$\mu$ is used. 
B) a one-tail test for $\mu$ is used. 
C) a two-tail test for $\Chi$Is used. 
D) a one-tail test  Is used. 
A) a two-tail test for$\mu$ is used. 
B) a one-tail test for $\mu$ is used. 
C) a two-tail test for $\Chi$Is used. 
D) a one-tail test  Is used.

Question 19

If we do not 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 20

Which of the following probabilities is equal to the significance level $\alpha$?

Accepted Answer

A) Probability of making a Type I error. 
B) Probability of making a Type II error. 
C) Probability of rejecting H0 when you are supposed to. 
D) Probability of not rejecting H0 when you shouldn't. 
A) Probability of making a Type I error. 
B) Probability of making a Type II error. 
C) Probability of rejecting H0 when you are supposed to. 
D) Probability of not rejecting H0 when you shouldn't.

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

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

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

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

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

The probability of a Type I error is denoted by:

The critical values z_$\alpha$or z_{$\alpha$ / 2}are the boundary values for:

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

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:

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

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

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

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

If we do not reject the null hypothesis, we conclude that:

Which of the following probabilities is equal to the significance level $\alpha$ ?

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 Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 11: Introduction to Hypothesis Testing

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

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

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

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

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

The probability of a Type I error is denoted by:

The critical values z α\alphaα or z α\alphaα / 2 are the boundary values for:

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

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:

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

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

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

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

If we do not reject the null hypothesis, we conclude that:

Which of the following probabilities is equal to the significance level α\alphaα ?

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 Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

The critical values z_$\alpha$or z_{$\alpha$ / 2}are the boundary values for:

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

Which of the following probabilities is equal to the significance level $\alpha$ ?