Question 1

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 2

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: $\mu$ 0:$\mu$>1200 vs.H1:$\mu$=1200 
C)  H0: $\mu$=1200 vs.H1: $\mu$>1200 
D)  H0: $\mu$1: $\mu$=1200 
A)  H0: $\mu$= 1200 vs.H1: $\mu$ 0:$\mu$>1200 vs.H1:$\mu$=1200 
C)  H0: $\mu$=1200 vs.H1: $\mu$>1200 
D)  H0: $\mu$1: $\mu$=1200

Question 3

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

Accepted Answer

A) True 
 B)False

Question 4

If your p-value is greater than 0.900 you should reject H0 at the 0.10 level.

Accepted Answer

A) True 
 B)False

Question 5

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 6

For a two-tail test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardized test statistic z is:

Accepted Answer

A)  smaller than 1.96 or greater than -1.96 
B)  greater than -1.96 or smaller than 1.96 
C)  smaller than -1.96 or greater than 1.96 
D)  greater than 1.645 or less than -1.645 
A)  smaller than 1.96 or greater than -1.96 
B)  greater than -1.96 or smaller than 1.96 
C)  smaller than -1.96 or greater than 1.96 
D)  greater than 1.645 or less than -1.645

Question 7

A two-tail test for the population mean $\mu$ produces a test-statistic z = 1.89.The p-value associated with the test is 0.0588.

Accepted Answer

A) True 
 B)False

Question 8

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 9

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 10

The critical values z$\alpha$ or z$\alpha$ / 2S1U1B0 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 11

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.
-{LSAT Scores Narrative} Use the p-value to test the hypotheses.

Accepted Answer

Since p-va

Question 12

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} Interpret the result.

Accepted Answer

Reject H₀ and conclude that the

Question 13

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(36.775 < @#IMG-DLM& < 43.2

Question 14

In order to determine the p-value, which of the following is not needed?

Accepted Answer

A)  The level of significance. 
B)  Whether the test is one-tail or two-tail. 
C)  The value of the test statistic. 
D)  All of these choices are true. 
A)  The level of significance. 
B)  Whether the test is one-tail or two-tail. 
C)  The value of the test statistic. 
D)  All of these choices are true.

Question 15

The statement of the null hypothesis always includes an equals sign (=).

Accepted Answer

A) True 
 B)False

Question 16

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$$\neq$950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.
-{Rechargeable Batteries Narrative} Recalculate $\beta$ if n is increased from 25 to 40.

Accepted Answer

@#LAT-DLM& = P(897.98 < @#IMG-DLM& < 100

Question 17

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

Accepted Answer

A) True 
 B)False

Question 18

The power of a test is denoted by:

Accepted Answer

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

Question 19

For a given level of significance, if the sample size is increased, the power of the test will increase.

Accepted Answer

A) True 
 B)False

Question 20

Researchers claim that 40 tissues is the average number of tissues a person uses during the course of a cold.The company who makes Puffs brand tissues thinks that fewer of their tissues are needed.What are their null and alternative hypotheses?

Accepted Answer

A)  H0:$\mu$=40 vs.H1:$\mu$>40 
B)  H0:$\mu$=40 vs.H1:0:= 40 vs.H1:0: $\mu$1: $\mu$=40 
A)  H0:$\mu$=40 vs.H1:$\mu$>40 
B)  H0:$\mu$=40 vs.H1:0:= 40 vs.H1:0: $\mu$1: $\mu$=40

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

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:

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

If your p-value is greater than 0.900 you should reject H₀ at the 0.10 level.

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

For a two-tail test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardized test statistic z is:

A two-tail test for the population mean $\mu$ produces a test-statistic z = 1.89.The p-value associated with the test is 0.0588.

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

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:

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.

In order to determine the p-value, which of the following is not needed?

The statement of the null hypothesis always includes an equals sign (=).

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

The power of a test is denoted by:

For a given level of significance, if the sample size is increased, the power of the test will increase.

Researchers claim that 40 tissues is the average number of tissues a person uses during the course of a cold.The company who makes Puffs brand tissues thinks that fewer of their tissues are needed.What are their null and alternative hypotheses?

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

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

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:

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

If your p-value is greater than 0.900 you should reject H0 at the 0.10 level.

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

For a two-tail test, the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardized test statistic z is:

A two-tail test for the population mean μ\muμ produces a test-statistic z = 1.89.The p-value associated with the test is 0.0588.

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

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:

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.

In order to determine the p-value, which of the following is not needed?

The statement of the null hypothesis always includes an equals sign (=).

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

The power of a test is denoted by:

For a given level of significance, if the sample size is increased, the power of the test will increase.

Researchers claim that 40 tissues is the average number of tissues a person uses during the course of a cold.The company who makes Puffs brand tissues thinks that fewer of their tissues are needed.What are their null and alternative hypotheses?

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

If your p-value is greater than 0.900 you should reject H₀ at the 0.10 level.

A two-tail test for the population mean $\mu$ produces a test-statistic z = 1.89.The p-value associated with the test is 0.0588.

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.