Question 1

In order to determine the p-value,it is necessary to know the level of significance.

Accepted Answer

A) True 
 B)False

Question 2

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 3

A p-value is usually set at 0.05.

Accepted Answer

A) True 
 B)False

Question 4

If a marketer wishes to determine whether there is evidence that average family income in a community exceeds $32,000:

Accepted Answer

A)  either a one-tail or two-tail test could be used with equivalent results. 
B)  a one-tail test should be utilized. 
C)  a two-tail test should be utilized. 
D)  None of these choices. 
A)  either a one-tail or two-tail test could be used with equivalent results. 
B)  a one-tail test should be utilized. 
C)  a two-tail test should be utilized. 
D)  None of these choices.

Question 5

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H0 at level 0.05.Which of the following statements is correct?

Accepted Answer

A)  If the p-value  0.10,there is no evidence to infer that the alternative hypothesis is true. 
D)  All of these choices are true. 
A)  If the p-value  0.10,there is no evidence to infer that the alternative hypothesis is true. 
D)  All of these choices are true.

Question 6

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} Review the results of the previous questions.What is the effect of decreasing the significance level on the value on $\beta$?

Accepted Answer

@#LAT-DLM&increases

Question 7

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: $\bar { X }$ = 42 minutes,n = 25.Assume $\sigma$ = 5.5,and $\alpha$= 0.10.
-{Watching the News Narrative} Interpret the result.

Accepted Answer

Reject H₀ and concl

Question 8

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 9

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

Accepted Answer

The answer of For a given level of significance,if the...

Question 10

A Type I error is represented by $\beta$0.

Accepted Answer

A) True 
 B)False

Question 11

Calculate the probability of a Type II error for the hypothesis test: H0:$\mu$ = 50 vs.H1: $\mu$ > 50,given that $\mu$ = 55,$\alpha$ = 0.05,$\sigma$ = 10,and n = 16.

Accepted Answer

@#LAT-DLM&= P( @#LAT-DLM& < 54.113 given

Question 12

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis in favor of the alternative
hypothesis.

Accepted Answer

The answer of The ____________________ is a range of values...

Question 13

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

Accepted Answer

The answer of There are two approaches to making a...

Question 14

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 15

To increase the power of a test,____________________ the sample size.

Accepted Answer

The answer of To increase the power of a test,____________________...

Question 16

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

Accepted Answer

A)  We have made a Type I error. 
B)  We have made a Type II error. 
C)  We have made both a Type I error and a Type II error. 
D)  We have made the correct decision. 
A)  We have made a Type I error. 
B)  We have made a Type II error. 
C)  We have made both a Type I error and a Type II error. 
D)  We have made the correct decision.

Question 17

A sample is used to obtain a 95% confidence interval for the mean of a population.The confidence interval goes from 78.21 to 87.64.If the same sample had been used to test the null hypothesis that the mean of the population differs from 90,the null hypothesis could be rejected at a level of significance of 0.05.

Accepted Answer

A) True 
 B)False

Question 18

In a two-tail test for the population mean,the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that:

Accepted Answer

A)  z > z $\alpha$ 
B)  z $\alpha$ 
C)  -z $\alpha$  $\alpha$ 
D)  | z | > z $\alpha$  / 2 
A)  z > z $\alpha$ 
B)  z $\alpha$ 
C)  -z $\alpha$  $\alpha$ 
D)  | z | > z $\alpha$  / 2

Question 19

The probability of making a Type I error and the level of significance are the same.

Accepted Answer

A) True 
 B)False

Question 20

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} State the appropriate null and alternative hypotheses.

Accepted Answer

H<sub>0</s

Exam 11: Introduction to Hypothesis Testing

In order to determine the p-value,it is necessary to know the level of significance.

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

A p-value is usually set at 0.05.

If a marketer wishes to determine whether there is evidence that average family income in a community exceeds $32,000:

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H0 at level 0.05.Which of the following statements is correct?

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:

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

A Type I error is represented by β\betaβ 0.

Calculate the probability of a Type II error for the hypothesis test: H0: μ\muμ = 50 vs.H1: μ\muμ > 50,given that μ\muμ = 55, α\alphaα = 0.05, σ\sigmaσ = 10,and n = 16.

The ____________________ is a range of values such that if the test statistic falls into that range we reject the null hypothesis in favor of the alternative hypothesis.

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

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

To increase the power of a test,____________________ the sample size.

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

In a two-tail test for the population mean,the null hypothesis will be rejected at α\alphaα level of significance if the value of the standardized test statistic z is such that:

The probability of making a Type I error and the level of significance are the same.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Statisticians can translate p-values into several descriptive terms.Suppose you typically reject H₀ at level 0.05.Which of the following statements is correct?

A Type I error is represented by $\beta$ 0.

Calculate the probability of a Type II error for the hypothesis test: H₀: $\mu$ = 50 vs.H₁: $\mu$ > 50,given that $\mu$ = 55, $\alpha$ = 0.05, $\sigma$ = 10,and n = 16.

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

In a two-tail test for the population mean,the null hypothesis will be rejected at $\alpha$ level of significance if the value of the standardized test statistic z is such that: