Question 1

If a null hypothesis is rejected at the 0.05 level of significance, it must be rejected at the 0.025 level.

Accepted Answer

A) True 
 B)False

Question 2

The hypothesis of most interest to the researcher is:

Accepted Answer

A)  the alternative hypothesis. 
B)  the null hypothesis. 
C)  both hypotheses are of equal interest. 
D)  Neither hypothesis is of interest. 
A)  the alternative hypothesis. 
B)  the null hypothesis. 
C)  both hypotheses are of equal interest. 
D)  Neither hypothesis is of interest.

Question 3

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: $\mu$ $\gt$ 40 
B)  H0: $\mu$ = 40 vs. H1: $\mu$ $\lt$ 40 
C)  H0:= 40 vs. H1:$\lt$ 40 
D)  H0: $\mu$ $\lt$ 40 vs. H1: $\mu$ = 40 
A)  H0:$\mu$ = 40 vs. H1: $\mu$ $\gt$ 40 
B)  H0: $\mu$ = 40 vs. H1: $\mu$ $\lt$ 40 
C)  H0:= 40 vs. H1:$\lt$ 40 
D)  H0: $\mu$ $\lt$ 40 vs. H1: $\mu$ = 40

Question 4

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 5

The owner of a local Karaoke Bar has recently surveyed a random sample of n = 300 customers of the bar. She would now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to be 99% confident in her decision, what rejection region she use if the population standard deviation $\sigma$is known?

Accepted Answer

A)  Reject H0 if z 0 if z 0 if z > 2.33 
D)  Reject H0 if z > 2.58 
A)  Reject H0 if z 0 if z 0 if z > 2.33 
D)  Reject H0 if z > 2.58

Question 6

State the appropriate hypotheses for the consumer group to do their test.

Accepted Answer

H<sub>0</s

Question 7

As the alternative value of $\mu$ increases, so does the power of the test.

Accepted Answer

A) True 
 B)False

Question 8

A Type I error is represented by $\beta$.

Accepted Answer

A) True 
 B)False

Question 9

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 10

If we do not reject the null hypothesis, we conclude that there ____________________(is/is not) enough statistical evidence to infer that the alternative hypothesis is true.

Accepted Answer

The answer of If we do not reject the null...

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

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.

Question 13

For a given level of significance, if the sample size increases, the probability of a Type II error will:

Accepted Answer

A)  remain the same. 
B)  increase. 
C)  decrease. 
D)  be equal to 1.0 regardless of$\alpha$. 
A)  remain the same. 
B)  increase. 
C)  decrease. 
D)  be equal to 1.0 regardless of$\alpha$.

Question 14

In a one-tail test, the p-value is found to be equal to 0.068. If the test had been two-tail, the p-value would have been:

Accepted Answer

A)  0.932 
B)  0.466 
C)  0.034 
D)  0.136 
A)  0.932 
B)  0.466 
C)  0.034 
D)  0.136

Question 15

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.
-Review the results of the previous questions. What is the effect of increasing the sample size on the value of $\beta$?

Accepted Answer

@#LAT-DLM& decreases

Question 16

In a criminal trial, a Type I error is made when an innocent person is convicted.

Accepted Answer

A) True 
 B)False

Question 17

The level of significance can be:

Accepted Answer

A)  any number between -1.0 and 1.0. 
B)  any number greater than zero. 
C)  any number greater than 1.96 or less than -1.96. 
D)  None of these choices. 
A)  any number between -1.0 and 1.0. 
B)  any number greater than zero. 
C)  any number greater than 1.96 or less than -1.96. 
D)  None of these choices.

Question 18

In testing the hypotheses H0: $\mu$=50 vs. H1: $\mu$< 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if $\alpha$ = .025.

Accepted Answer

p-value = 0.0559 > @#LAT-DLM&. Fail to r

Question 19

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.
-Compute the p-value.

Accepted Answer

The answer of Marathon Runners: A researcher wants to study...

Question 20

The numerical quantity computed from the data that is used in deciding whether to reject H0 is the:

Accepted Answer

A)  significance level. 
B)  critical value. 
C)  test statistic. 
D)  parameter. 
A)  significance level. 
B)  critical value. 
C)  test statistic. 
D)  parameter.

If a null hypothesis is rejected at the 0.05 level of significance, it must be rejected at the 0.025 level.

The hypothesis of most interest to the researcher is:

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?

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

State the appropriate hypotheses for the consumer group to do their test.

As the alternative value of $\mu$ increases, so does the power of the test.

A Type I error is represented by $\beta$ .

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

If we do not reject the null hypothesis, we conclude that there ____________________(is/is not) enough statistical evidence to infer that the alternative hypothesis is true.

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

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

For a given level of significance, if the sample size increases, the probability of a Type II error will:

In a one-tail test, the p-value is found to be equal to 0.068. If the test had been two-tail, the p-value would have been:

In a criminal trial, a Type I error is made when an innocent person is convicted.

The level of significance can be:

In testing the hypotheses H₀: $\mu$ =50 vs. H₁: $\mu$ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if $\alpha$ = .025.

The numerical quantity computed from the data that is used in deciding whether to reject H₀ is the:

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

If a null hypothesis is rejected at the 0.05 level of significance, it must be rejected at the 0.025 level.

The hypothesis of most interest to the researcher is:

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?

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

State the appropriate hypotheses for the consumer group to do their test.

As the alternative value of μ\muμ increases, so does the power of the test.

A Type I error is represented by β\betaβ .

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

If we do not reject the null hypothesis, we conclude that there ____________________(is/is not) enough statistical evidence to infer that the alternative hypothesis is true.

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

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

For a given level of significance, if the sample size increases, the probability of a Type II error will:

In a one-tail test, the p-value is found to be equal to 0.068. If the test had been two-tail, the p-value would have been:

In a criminal trial, a Type I error is made when an innocent person is convicted.

The level of significance can be:

In testing the hypotheses H0: μ\muμ =50 vs. H1: μ\muμ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if α\alphaα = .025.

The numerical quantity computed from the data that is used in deciding whether to reject H0 is the:

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

As the alternative value of $\mu$ increases, so does the power of the test.

A Type I error is represented by $\beta$ .

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

In testing the hypotheses H₀: $\mu$ =50 vs. H₁: $\mu$ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if $\alpha$ = .025.

The numerical quantity computed from the data that is used in deciding whether to reject H₀ is the: