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} Recalculate $\beta$ if $\alpha$ is lowered from 0.10 to 0.05.

@#LAT-DLM&= P(871.6 < @#LAT-DLM& < 1028.

In testing the hypotheses H0: $\mu$ = 800 vs. H1: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

A) 0.0401 B) 0.0802 C) 0.4599 D) 0.9599 A) 0.0401 B) 0.0802 C) 0.4599 D) 0.9599

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} Recalculate $\beta$if n is increased from 25 to 40.

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

The rejection region for testing H0: $\mu$ = 100 vs. H1: $\mu$ $\neq$ 100, at the 0.05 level of significance is:

A) | z | 1.96 C) z > 1.65 D) z 1.65 D) z < 2.33

Exam 11: Introduction to Hypothesis Testing

We have created a 95% confidence interval for $\mu$ with the results (10, 25). What conclusion will we make if we test H₀: $\mu$ = 26 vs. H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

(Multiple Choice)

4.9/5

(40)

Question 21

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, H₀: $\mu$ = 950 hours vs. H₁: $\mu$ =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} Interpret the meaning of the power of the test.

(Essay)

4.8/5

(38)

Question 22

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} State the appropriate null and alternative hypotheses.

(Essay)

4.8/5

(36)

Question 23

The p-value of a test is the:

(Multiple Choice)

4.9/5

(37)

Question 24

If we reject the null hypothesis when it is false, then we have committed:

(Multiple Choice)

4.8/5

(34)

Question 25

Suppose we wish to test H₀: $\mu$ = 45 vs. H₁: $\mu$ >45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

(Multiple Choice)

5.0/5

(34)

Question 26

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

(Short Answer)

5.0/5

(40)

Question 27

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, H₀: $\mu$ = 950 hours vs. H₁: $\mu$ =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} Recalculate $\beta$ if $\alpha$ is lowered from 0.10 to 0.05.

(Essay)

4.9/5

(37)

Question 28

Probabilities for Type I and Type II errors are actually ____________________ probabilities.

(Short Answer)

4.8/5

(40)

Question 29

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

(True/False)

4.7/5

(38)

Question 30

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the rejection region method. The other approach is the ____________________ method.

(Short Answer)

4.8/5

(26)

Question 31

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

(Multiple Choice)

5.0/5

(26)

Question 32

Using a confidence interval when conducting a two-tail test for $\mu$ , we do not reject H₀ if the hypothesized value for $\mu$ :

(Multiple Choice)

4.9/5

(37)

Question 33

In testing the hypotheses H₀: $\mu$ = 800 vs. H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

(Multiple Choice)

4.9/5

(48)

Question 34

Suppose that 9 observations are drawn from a normal population whose standard deviation is 2. The observations are: 15, 9, 13, 11, 8, 12, 11, 7, and 10. At 95% confidence, you want to determine whether the mean of the population from which this sample was taken is significantly different from 10. a.State the null and alternative hypotheses. b.Compute the value of the test statistic. c.Compute the p-value. d.Interpret the results.

(Essay)

4.8/5

(37)

Question 35

NARRBEGIN: Marathon Runners Marathon Runners A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: H₀: $\mu$ =25 miles vs. H₁: $\mu$ $\neq$ 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} Develop a 95% confidence interval estimate of the population mean.

(Short Answer)

4.8/5

(28)

Question 36

In a criminal trial, a Type I error is made when:

(Multiple Choice)

4.8/5

(30)

Question 37

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

(True/False)

4.8/5

(31)

Question 38

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, H₀: $\mu$ = 950 hours vs. H₁: $\mu$ =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} Recalculate $\beta$ if n is increased from 25 to 40.

(Essay)

4.8/5

(35)

Question 39

The rejection region for testing H₀: $\mu$ = 100 vs. H₁: $\mu$ $\neq$ 100, at the 0.05 level of significance is:

(Multiple Choice)

4.9/5

(40)

Question 40

Showing 21 - 40 of 187

We have created a 95% confidence interval for $\mu$ with the results (10, 25). What conclusion will we make if we test H₀: $\mu$ = 26 vs. H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

The p-value of a test is the:

If we reject the null hypothesis when it is false, then we have committed:

Suppose we wish to test H₀: $\mu$ = 45 vs. H₁: $\mu$ >45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

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

Probabilities for Type I and Type II errors are actually ____________________ probabilities.

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

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the rejection region method. The other approach is the ____________________ method.

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

Using a confidence interval when conducting a two-tail test for $\mu$ , we do not reject H₀ if the hypothesized value for $\mu$ :

In testing the hypotheses H₀: $\mu$ = 800 vs. H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

In a criminal trial, a Type I error is made when:

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

The rejection region for testing H₀: $\mu$ = 100 vs. H₁: $\mu$ $\neq$ 100, at the 0.05 level of significance is:

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

We have created a 95% confidence interval for μ\muμ with the results (10, 25). What conclusion will we make if we test H0: μ\muμ = 26 vs. H1: μ\muμ ≠\neq= 26 at α\alphaα = 0.025?

The p-value of a test is the:

If we reject the null hypothesis when it is false, then we have committed:

Suppose we wish to test H0: μ\muμ = 45 vs. H1: μ\muμ >45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

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

Probabilities for Type I and Type II errors are actually ____________________ probabilities.

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

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated. One approach is the rejection region method. The other approach is the ____________________ method.

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:

Using a confidence interval when conducting a two-tail test for μ\muμ , we do not reject H0 if the hypothesized value for μ\muμ :

In testing the hypotheses H0: μ\muμ = 800 vs. H1: μ\muμ ≠\neq= 800, if the value of the test statistic equals 1.75, then the p-value is:

In a criminal trial, a Type I error is made when:

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

The rejection region for testing H0: μ\muμ = 100 vs. H1: μ\muμ ≠\neq= 100, at the 0.05 level of significance is:

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

We have created a 95% confidence interval for $\mu$ with the results (10, 25). What conclusion will we make if we test H₀: $\mu$ = 26 vs. H₁: $\mu$ $\neq$ 26 at $\alpha$ = 0.025?

Suppose we wish to test H₀: $\mu$ = 45 vs. H₁: $\mu$ >45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50?

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

Using a confidence interval when conducting a two-tail test for $\mu$ , we do not reject H₀ if the hypothesized value for $\mu$ :

In testing the hypotheses H₀: $\mu$ = 800 vs. H₁: $\mu$ $\neq$ 800, if the value of the test statistic equals 1.75, then the p-value is:

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

The rejection region for testing H₀: $\mu$ = 100 vs. H₁: $\mu$ $\neq$ 100, at the 0.05 level of significance is: