Question 1

As sample size increases, and so degrees of freedom increase for a t distribution, the shape of the distribution.

Accepted Answer

A) becomes less skewed 
B) is unaffected 
C) looks more like a normal distribution 
D) becomes bimodal 
E) none of the above 
A) becomes less skewed 
B) is unaffected 
C) looks more like a normal distribution 
D) becomes bimodal 
E) none of the above

Question 2

Type II error in hypothesis testing is

Accepted Answer

A) accepting a false null hypothesis 
B) rejecting a true alternative hypothesis 
C) rejecting a true null hypothesis 
D) rejecting the sample result when it should have been accepted 
E) none of the above 
A) accepting a false null hypothesis 
B) rejecting a true alternative hypothesis 
C) rejecting a true null hypothesis 
D) rejecting the sample result when it should have been accepted 
E) none of the above

Question 3

A student believes that the average grade on the final examination in statistics is greater than 85.To make her case, she will take a sample of scores and test a skeptical null hypothesis.The correct set of hypotheses is

Accepted Answer

A) H0: $\mu$ a: $\mu$ ≥ 85 
B) H0: $\mu$ > 85; Ha: $\mu$≤ 85 
C) H0: $\mu$≤ 85; Ha: $\mu$ > 85 
D) H0: $\mu$ = 85; Ha: $\mu$$\neq$85 
E) none of the above 
A) H0: $\mu$ a: $\mu$ ≥ 85 
B) H0: $\mu$ > 85; Ha: $\mu$≤ 85 
C) H0: $\mu$≤ 85; Ha: $\mu$ > 85 
D) H0: $\mu$ = 85; Ha: $\mu$$\neq$85 
E) none of the above

Question 4

In hypothesis testing, the critical value is a number that establishes the boundary of the reject H0 region of the test.

Accepted Answer

A) True 
 B)False

Question 5

When the p-value is used for hypothesis testing, the null hypothesis is rejected when the p-value < $\alpha$.

Accepted Answer

A) True 
 B)False

Question 6

Using the t distribution for a hypothesis test regarding a population mean is generally appropriate when

Accepted Answer

A) sample size is no more than 30 
B) the sample standard deviation is being used 
C) the population distribution is normal 
D) a and b 
E) a and c 
A) sample size is no more than 30 
B) the sample standard deviation is being used 
C) the population distribution is normal 
D) a and b 
E) a and c

Question 7

You are to test the following hypotheses: H0: µ ≥ 360
Ha: µ < 360
A sample of size 64 produces a sample mean of 348, with a standard deviation of 60.The p-value for this test is

Accepted Answer

A) .0548 
B) .0274 
C) .1096 
D) .0438 
A) .0548 
B) .0274 
C) .1096 
D) .0438

Question 8

In hypothesis testing, the critical value is:

Accepted Answer

A) a number that establishes the boundary of the reject H0 region 
B) based on the significance level $\alpha$ 
C) compared to the test statistic to determine if the null hypothesis is rejected 
D) all of the above 
E) none of the above 
A) a number that establishes the boundary of the reject H0 region 
B) based on the significance level $\alpha$ 
C) compared to the test statistic to determine if the null hypothesis is rejected 
D) all of the above 
E) none of the above

Question 9

In hypothesis testing, the critical value is

Accepted Answer

A) a number that establishes the boundary of the reject H0 region 
B) based on the significance level$\alpha$ 
C) a and b only 
D) the probability of a Type I error 
E) used to set the p-value 
A) a number that establishes the boundary of the reject H0 region 
B) based on the significance level$\alpha$ 
C) a and b only 
D) the probability of a Type I error 
E) used to set the p-value

Question 10

To decide whether to reject a null hypothesis about a population mean, a 95% confidence interval or two-tailed hypothesis test with a significance level of 5% could be used.

Accepted Answer

A) True 
 B)False

Question 11

In hypothesis testing, the critical value is

Accepted Answer

A) a number that establishes the boundary of the reject H0 region 
B) the probability of a Type I error 
C) the probability of a Type II error 
D) the same as the p-value 
E) none of the above 
A) a number that establishes the boundary of the reject H0 region 
B) the probability of a Type I error 
C) the probability of a Type II error 
D) the same as the p-value 
E) none of the above

Question 12

When using the confidence interval approach for a two-tailed test, which of the following is true?

Accepted Answer

A) the rejection region is in the upper tail of the distribution 
B) if the confidence interval contains the hypothesized value, then reject H0 
C) if the confidence interval contains the hypothesized value, do not reject the H0 
D) use the F distribution 
E) none of the above 
A) the rejection region is in the upper tail of the distribution 
B) if the confidence interval contains the hypothesized value, then reject H0 
C) if the confidence interval contains the hypothesized value, do not reject the H0 
D) use the F distribution 
E) none of the above

Question 13

The level of significance in hypothesis testing is the probability of accepting a true null hypothesis.

Accepted Answer

A) True 
 B)False

Question 14

You are to test the following hypotheses: H0: µ a: µ > 900
A sample of size 25 produces a sample mean of 926, with a standard deviation of 50.The p-value for this test is .0079.If the significance level set for the test is .01, we should

Accepted Answer

A) Reject the null hypothesis since $\alpha$ stat > tc C) not Reject the null hypothesis since $\alpha$> p-value D) not Reject the null hypothesis since tstat > tc E) Accept the null hypothesis since p-value <$\alpha$ A) Reject the null hypothesis since $\alpha$ stat > tc C) not Reject the null hypothesis since $\alpha$> p-value D) not Reject the null hypothesis since tstat > tc E) Accept the null hypothesis since p-value <$\alpha$

Question 15

The fundamental hypothesis test in the American judicial system involves the following hypotheses: H0: The accused is innocent.
Ha: The accused is guilty.
Describe what a Type I error and a Type II would involve here.

Accepted Answer

A) A Type I error would be to judge an innocent man guilty.A Type II error would be to judge a guilty man innocent. 
B) A Type I error would be to judge a guilty man guilty.A Type II error would be to judge an innocent man innocent. 
C) A Type I error would be to judge a guilty man innocent.A Type II error would be to judge an innocent man guilty. 
D) A Type I error would be to judge an innocent man innocent.A Type II error would be to judge a guilty man guilty. 
E) A Type I error would be to judge an innocent man guilty.A Type II error would be to judge a guilty man guilty. 
A) A Type I error would be to judge an innocent man guilty.A Type II error would be to judge a guilty man innocent. 
B) A Type I error would be to judge a guilty man guilty.A Type II error would be to judge an innocent man innocent. 
C) A Type I error would be to judge a guilty man innocent.A Type II error would be to judge an innocent man guilty. 
D) A Type I error would be to judge an innocent man innocent.A Type II error would be to judge a guilty man guilty. 
E) A Type I error would be to judge an innocent man guilty.A Type II error would be to judge a guilty man guilty.

Question 16

Which of the following is NOT a common step in hypothesis testing?

Accepted Answer

A) determine the p-value and compare it to$\alpha$ 
B) state the null and alternative hypothesis 
C) use the significance level to establish the decision rule 
D) compare the sample size to the population size 
E) apply the decision rule and make your decision 
A) determine the p-value and compare it to$\alpha$ 
B) state the null and alternative hypothesis 
C) use the significance level to establish the decision rule 
D) compare the sample size to the population size 
E) apply the decision rule and make your decision

Question 17

When computing the p-value for a two-tailed hypothesis test, we need to

Accepted Answer

A) multiply two times the one-tail value 
B) divide the upper p-value by two 
C) multiply the $\alpha$ value by two 
D) subtract the one-tail lower p-value from the one-tail upper p-value 
E) none of the above 
A) multiply two times the one-tail value 
B) divide the upper p-value by two 
C) multiply the $\alpha$ value by two 
D) subtract the one-tail lower p-value from the one-tail upper p-value 
E) none of the above

Question 18

Which of the following is NOT a common step in hypothesis testing:

Accepted Answer

A) determine the null and alternative hypotheses 
B) specify the level of significance $\alpha$ 
C) collect the sample data and compute the value of the test statistic 
D) use $\alpha$ to determine the critical value and the rejection rule 
E) compute the p-value based on the test statistic and compare it to $\beta$ to determine whether to reject H0 
A) determine the null and alternative hypotheses 
B) specify the level of significance $\alpha$ 
C) collect the sample data and compute the value of the test statistic 
D) use $\alpha$ to determine the critical value and the rejection rule 
E) compute the p-value based on the test statistic and compare it to $\beta$ to determine whether to reject H0

Question 19

In hypothesis testing, we reject the null hypothesis if the p-value > $\alpha$.

Accepted Answer

A) True 
 B)False

Question 20

In recent years the average speed along a dangerous stretch of Highway 26 has been reported to be 55.8 mph.You plan to take a sample of cars along that stretch of highway to determine if the average speed recently is different from the reported average.What hypotheses would be appropriate for a hypothesis test here? Use a "status quo" approach to choose your null hypothesis.

Accepted Answer

A)  H0: µ = 55.8 mph
Ha: µ ≠ 55.8 mph 
B)  H0: µ ≠ 55.8 mph
Ha: µ = 55.8 mph 
C)  H0: µ > 55.8 mph
Ha: µ ≠ 55.8 mph 
D)  H0: µ a: µ = 55.8 mph 
E)  H0: µ > 55.8 mph
Ha: µ = 55.8 mph 
A)  H0: µ = 55.8 mph
Ha: µ ≠ 55.8 mph 
B)  H0: µ ≠ 55.8 mph
Ha: µ = 55.8 mph 
C)  H0: µ > 55.8 mph
Ha: µ ≠ 55.8 mph 
D)  H0: µ a: µ = 55.8 mph 
E)  H0: µ > 55.8 mph
Ha: µ = 55.8 mph

As sample size increases, and so degrees of freedom increase for a t distribution, the shape of the distribution.

Type II error in hypothesis testing is

A student believes that the average grade on the final examination in statistics is greater than 85.To make her case, she will take a sample of scores and test a skeptical null hypothesis.The correct set of hypotheses is

In hypothesis testing, the critical value is a number that establishes the boundary of the reject H₀ region of the test.

When the p-value is used for hypothesis testing, the null hypothesis is rejected when the p-value < $\alpha$ .

Using the t distribution for a hypothesis test regarding a population mean is generally appropriate when

You are to test the following hypotheses: H₀: µ ≥ 360 H_a: µ < 360 A sample of size 64 produces a sample mean of 348, with a standard deviation of 60.The p-value for this test is

In hypothesis testing, the critical value is:

In hypothesis testing, the critical value is

To decide whether to reject a null hypothesis about a population mean, a 95% confidence interval or two-tailed hypothesis test with a significance level of 5% could be used.

In hypothesis testing, the critical value is

When using the confidence interval approach for a two-tailed test, which of the following is true?

The level of significance in hypothesis testing is the probability of accepting a true null hypothesis.

You are to test the following hypotheses: H₀: µ < 900 H_a: µ > 900 A sample of size 25 produces a sample mean of 926, with a standard deviation of 50.The p-value for this test is .0079.If the significance level set for the test is .01, we should

The fundamental hypothesis test in the American judicial system involves the following hypotheses: H₀: The accused is innocent. H_a: The accused is guilty. Describe what a Type I error and a Type II would involve here.

Which of the following is NOT a common step in hypothesis testing?

When computing the p-value for a two-tailed hypothesis test, we need to

Which of the following is NOT a common step in hypothesis testing:

In hypothesis testing, we reject the null hypothesis if the p-value > $\alpha$ .

An Introduction to Statistics

Descriptive Statistics I: Elementary Data Presentation and Description

Descriptive Statistics II: Additional Descriptive Measures and Data Displays

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Estimating a Population Mean

Interval Estimates for Proportions, Mean Differences and Proportion Differences

Hypothesis Tests for Proportions, Mean Differences and Proportion Differences

Basic Regression Analysis

Multiple Regression

F Tests and Analysis of Variance

Experimental Designonline Only

Chi-Square Tests

Filters

Exam 9: Statistical Hypothesis Testing: Hypothesis Tests for a Population Mean

As sample size increases, and so degrees of freedom increase for a t distribution, the shape of the distribution.

Type II error in hypothesis testing is

A student believes that the average grade on the final examination in statistics is greater than 85.To make her case, she will take a sample of scores and test a skeptical null hypothesis.The correct set of hypotheses is

In hypothesis testing, the critical value is a number that establishes the boundary of the reject H0 region of the test.

When the p-value is used for hypothesis testing, the null hypothesis is rejected when the p-value < α\alphaα .

Using the t distribution for a hypothesis test regarding a population mean is generally appropriate when

You are to test the following hypotheses: H0: µ ≥ 360 Ha: µ < 360 A sample of size 64 produces a sample mean of 348, with a standard deviation of 60.The p-value for this test is

In hypothesis testing, the critical value is:

In hypothesis testing, the critical value is

To decide whether to reject a null hypothesis about a population mean, a 95% confidence interval or two-tailed hypothesis test with a significance level of 5% could be used.

In hypothesis testing, the critical value is

When using the confidence interval approach for a two-tailed test, which of the following is true?

The level of significance in hypothesis testing is the probability of accepting a true null hypothesis.

You are to test the following hypotheses: H0: µ < 900 Ha: µ > 900 A sample of size 25 produces a sample mean of 926, with a standard deviation of 50.The p-value for this test is .0079.If the significance level set for the test is .01, we should

The fundamental hypothesis test in the American judicial system involves the following hypotheses: H0: The accused is innocent. Ha: The accused is guilty. Describe what a Type I error and a Type II would involve here.

Which of the following is NOT a common step in hypothesis testing?

When computing the p-value for a two-tailed hypothesis test, we need to

Which of the following is NOT a common step in hypothesis testing:

In hypothesis testing, we reject the null hypothesis if the p-value > α\alphaα .

An Introduction to Statistics

Descriptive Statistics I: Elementary Data Presentation and Description

Descriptive Statistics II: Additional Descriptive Measures and Data Displays

Probability

Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Estimating a Population Mean

Interval Estimates for Proportions, Mean Differences and Proportion Differences

Hypothesis Tests for Proportions, Mean Differences and Proportion Differences

Basic Regression Analysis

Multiple Regression

F Tests and Analysis of Variance

Experimental Designonline Only

Chi-Square Tests

Filters

In hypothesis testing, the critical value is a number that establishes the boundary of the reject H₀ region of the test.

When the p-value is used for hypothesis testing, the null hypothesis is rejected when the p-value < $\alpha$ .

You are to test the following hypotheses: H₀: µ ≥ 360 H_a: µ < 360 A sample of size 64 produces a sample mean of 348, with a standard deviation of 60.The p-value for this test is

You are to test the following hypotheses: H₀: µ < 900 H_a: µ > 900 A sample of size 25 produces a sample mean of 926, with a standard deviation of 50.The p-value for this test is .0079.If the significance level set for the test is .01, we should

The fundamental hypothesis test in the American judicial system involves the following hypotheses: H₀: The accused is innocent. H_a: The accused is guilty. Describe what a Type I error and a Type II would involve here.

In hypothesis testing, we reject the null hypothesis if the p-value > $\alpha$ .