Question 1

For a given level of significance $\alpha$, if the sample size n is increased, the probability of a Type II error $\beta$ will:

Accepted Answer

A)  decrease. 
B)  increase. 
C)  remain the same. 
D)  Not enough information to tell. 
A)  decrease. 
B)  increase. 
C)  remain the same. 
D)  Not enough information to tell.

Question 2

If a sample size is increased at a given $\alpha$ level, the probability of committing a Type II error is increased.

Accepted Answer

A) True 
 B)False

Question 3

The critical values will bound the rejection and non-rejection regions for the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 4

If we 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 5

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.
-Develop a 95% confidence interval estimate of the population mean.

Accepted Answer

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

Question 6

A Type II error is represented by $\alpha$; it is the probability of rejecting a true null hypothesis.

Accepted Answer

A) True 
 B)False

Question 7

If a researcher fails to reject a false null hypothesis he has made a(n) ____________________ error.

Accepted Answer

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

Question 8

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: F$\mu$> 40, the following information came from your random sample of viewers:   = 42 minutes, n = 25. Assume $\sigma$ = 5.5, and $\alpha$ = 0.10.
-Calculate the value of the test statistic.

Accepted Answer

The answer of Watching the News: A researcher claims viewers...

Question 9

The ____________________ is a measure of the amount of statistical evidence that supports the alternative hypothesis.

Accepted Answer

The answer of The ____________________ is a measure of the...

Question 10

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.
-Use the p-value to test the hypotheses.

Accepted Answer

Since p-value = 0.00

Question 11

Which of the following is an appropriate null hypothesis?

Accepted Answer

A)  The mean of a population is equal to 60. 
B)  The mean of a sample is equal to 60. 
C)  The mean of a population is not equal to 60. 
D)  All of these choices are true. 
A)  The mean of a population is equal to 60. 
B)  The mean of a sample is equal to 60. 
C)  The mean of a population is not equal to 60. 
D)  All of these choices are true.

Question 12

We have created a 95% confidence interval for $\mu$ with the result (8, 13). What conclusion will we make if we test H0: $\mu$ = 15 vs. H1: $\mu$ $\neq$ 15 at $\alpha$ = 0.05?

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 what our decision will be 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 what our decision will be from the information given

Question 13

A p-value is usually set at 0.05.

Accepted Answer

A) True 
 B)False

Question 14

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.
-Calculate the power of the test when $\mu$ = 1000 and $\alpha$ = 0.10.

Accepted Answer

Power = 1

Question 15

To calculate the probability of a(n) ____________________ error you need to specify a value of $\mu$ other than the one given in the null hypothesis.

Accepted Answer

The answer of To calculate the probability of a(n) ____________________...

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H0: F$\mu$ = 12 vs. H1: $\mu$$\neq$12, H0 could not be rejected at the 0.05 level.

Accepted Answer

A) True 
 B)False

Question 18

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: F$\mu$> 40, the following information came from your random sample of viewers:   = 42 minutes, n = 25. Assume $\sigma$ = 5.5, and $\alpha$ = 0.10.
-Determine the p-value.

Accepted Answer

The answer of Watching the News: A researcher claims viewers...

Question 19

Develop a 95% confidence interval and use it to test the hypothesis.

Accepted Answer

LCL = 46.64, and UCL = 50.56.

Question 20

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

For a given level of significance $\alpha$ , if the sample size n is increased, the probability of a Type II error $\beta$ will:

If a sample size is increased at a given $\alpha$ level, the probability of committing a Type II error is increased.

The critical values will bound the rejection and non-rejection regions for the null hypothesis.

If we reject the null hypothesis, we conclude that:

A Type II error is represented by $\alpha$ ; it is the probability of rejecting a true null hypothesis.

If a researcher fails to reject a false null hypothesis he has made a(n) ____________________ error.

The ____________________ is a measure of the amount of statistical evidence that supports the alternative hypothesis.

Which of the following is an appropriate null hypothesis?

We have created a 95% confidence interval for $\mu$ with the result (8, 13). What conclusion will we make if we test H₀: $\mu$ = 15 vs. H₁: $\mu$ $\neq$ 15 at $\alpha$ = 0.05?

A p-value is usually set at 0.05.

To calculate the probability of a(n) ____________________ error you need to specify a value of $\mu$ other than the one given in the null hypothesis.

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

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H₀: F $\mu$ = 12 vs. H₁: $\mu$ $\neq$ 12, H₀ could not be rejected at the 0.05 level.

Develop a 95% confidence interval and use it to test the hypothesis.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

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

For a given level of significance α\alphaα , if the sample size n is increased, the probability of a Type II error β\betaβ will:

If a sample size is increased at a given α\alphaα level, the probability of committing a Type II error is increased.

The critical values will bound the rejection and non-rejection regions for the null hypothesis.

If we reject the null hypothesis, we conclude that:

A Type II error is represented by α\alphaα ; it is the probability of rejecting a true null hypothesis.

If a researcher fails to reject a false null hypothesis he has made a(n) ____________________ error.

The ____________________ is a measure of the amount of statistical evidence that supports the alternative hypothesis.

Which of the following is an appropriate null hypothesis?

We have created a 95% confidence interval for μ\muμ with the result (8, 13). What conclusion will we make if we test H0: μ\muμ = 15 vs. H1: μ\muμ ≠\neq= 15 at α\alphaα = 0.05?

A p-value is usually set at 0.05.

To calculate the probability of a(n) ____________________ error you need to specify a value of μ\muμ other than the one given in the null hypothesis.

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

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H0: F μ\muμ = 12 vs. H1: μ\muμ≠\neq= 12, H0 could not be rejected at the 0.05 level.

Develop a 95% confidence interval and use it to test the hypothesis.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

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

For a given level of significance $\alpha$ , if the sample size n is increased, the probability of a Type II error $\beta$ will:

If a sample size is increased at a given $\alpha$ level, the probability of committing a Type II error is increased.

A Type II error is represented by $\alpha$ ; it is the probability of rejecting a true null hypothesis.

We have created a 95% confidence interval for $\mu$ with the result (8, 13). What conclusion will we make if we test H₀: $\mu$ = 15 vs. H₁: $\mu$ $\neq$ 15 at $\alpha$ = 0.05?

To calculate the probability of a(n) ____________________ error you need to specify a value of $\mu$ other than the one given in the null hypothesis.

A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H₀: F $\mu$ = 12 vs. H₁: $\mu$ $\neq$ 12, H₀ could not be rejected at the 0.05 level.