Question 1

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error)versus the values of the population mean $\mu$.

Accepted Answer

A) True 
 B)False

Question 2

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

Accepted Answer

Power = 1

Question 3

For a given sample size,the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

Accepted Answer

A) True 
 B)False

Question 4

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.
-{Marathon Runners Narrative} Develop a 95% confidence interval estimate of the population mean.

Accepted Answer

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

Question 5

The statement of the null hypothesis always includes an equals sign (=).

Accepted Answer

A) True 
 B)False

Question 6

The power of the test refers to the probability of rejecting a false null hypothesis.

Accepted Answer

A) True 
 B)False

Question 7

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} Use the p-value to test the hypotheses.

Accepted Answer

Since p-value = 0.00

Question 8

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

Accepted Answer

The answer of Probabilities for Type I and Type II...

Question 9

During the last energy crisis,a government official claimed that the average car owner refills the tank when there is more than 3 gallons left.To check the claim,10 cars were surveyed as they entered a gas station.The amount of gas remaining before refill was measured and recorded as follows (in gallons): 3,5,3,2,3,3,2,6,4,and 1.Assume that the amount of gas remaining in tanks is normally distributed with a standard deviation of 1 gallon.Compute the probability of a Type II error and the power of the test if the true average amount of gas remaining in tanks is 3.5 gallons anda= 0.10.

Accepted Answer

@#LAT-DLM& = P( @#LAT-DLM& < 3.4 given t

Question 10

Suppose that 10 observations are drawn from a normal population whose variance is 64.The observations are: 58,62,45,50,59,65,39,40,41,and 52.Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45.

Accepted Answer

H₀: @#LAT-DLM& =45,H₁: @#LAT-DLM&> 45

Question 11

Toaster Oven
An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W.From previous studies,it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W.A consumer group suspects the actual average is more than 250 W.They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W.
-{Toaster Oven Narrative} State the appropriate hypotheses for the consumer group to do their test.

Accepted Answer

H<sub>0</s

Question 12

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

Accepted Answer

A)  is to the left of the lower confidence limit (LCL). 
B)  is to the right of the upper confidence limit (UCL). 
C)  falls between the LCL and UCL. 
D)  falls in the rejection region. 
A)  is to the left of the lower confidence limit (LCL). 
B)  is to the right of the upper confidence limit (UCL). 
C)  falls between the LCL and UCL. 
D)  falls in the rejection region.

Question 13

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 14

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

Accepted Answer

A) True 
 B)False

Question 15

The probability of a Type I error is denoted by:

Accepted Answer

A)  $\beta$ 
B)  1 -$\beta$ 
C)  $\alpha$ 
D)  1 - $\alpha$ 
A)  $\beta$ 
B)  1 -$\beta$ 
C)  $\alpha$ 
D)  1 - $\alpha$

Question 16

The ____________________ of a test is a measure of its performance.

Accepted Answer

The answer of The ____________________ of a test is a...

Question 17

A one-tail p-value is two times the size of a two-tail test.

Accepted Answer

A) True 
 B)False

Question 18

A professor of linguistics refutes the claim that the average student spends 3 hours studying for the midterm exam.She thinks they spend more time than that.Which hypotheses are used to test the claim?

Accepted Answer

A)  H0: $\mu$ = 3 vs.H1: $\mu$  $\gt$ 3 
B)  H0: $\mu$ = 3 vs.H1: $\mu$$\neq$ 3 
C)  H0: $\mu$ $\neq$3 vs.H1: $\mu$ = 3 
D)  H0: $\mu$ = 3 vs.H1: $\mu$  $\lt$ 3 
A)  H0: $\mu$ = 3 vs.H1: $\mu$  $\gt$ 3 
B)  H0: $\mu$ = 3 vs.H1: $\mu$$\neq$ 3 
C)  H0: $\mu$ $\neq$3 vs.H1: $\mu$ = 3 
D)  H0: $\mu$ = 3 vs.H1: $\mu$  $\lt$ 3

Question 19

Toaster Oven
An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W.From previous studies,it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W.A consumer group suspects the actual average is more than 250 W.They take a sample of 20 toaster ovens and calculate the average consumption to be 260 W.
-{Toaster Oven Narrative} What is the parameter of interest in this situation?

Accepted Answer

The mean power consu

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error)versus the values of the population mean $\mu$ .

For a given sample size,the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

The statement of the null hypothesis always includes an equals sign (=).

The power of the test refers to the probability of rejecting a false null hypothesis.

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

Suppose that 10 observations are drawn from a normal population whose variance is 64.The observations are: 58,62,45,50,59,65,39,40,41,and 52.Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45.

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

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:

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

The probability of a Type I error is denoted by:

The ____________________ of a test is a measure of its performance.

A one-tail p-value is two times the size of a two-tail test.

A professor of linguistics refutes the claim that the average student spends 3 hours studying for the midterm exam.She thinks they spend more time than that.Which hypotheses are used to test the claim?

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

Exam 11: Introduction to Hypothesis Testing

The operating characteristic curve plots the values of β\betaβ (the probability of committing a Type II error)versus the values of the population mean μ\muμ .

For a given sample size,the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

The statement of the null hypothesis always includes an equals sign (=).

The power of the test refers to the probability of rejecting a false null hypothesis.

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

Suppose that 10 observations are drawn from a normal population whose variance is 64.The observations are: 58,62,45,50,59,65,39,40,41,and 52.Test at the 10% level of significance to determine if there is enough evidence to conclude that the population mean is greater than 45.

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 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:

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

The probability of a Type I error is denoted by:

The ____________________ of a test is a measure of its performance.

A one-tail p-value is two times the size of a two-tail test.

A professor of linguistics refutes the claim that the average student spends 3 hours studying for the midterm exam.She thinks they spend more time than that.Which hypotheses are used to test the claim?

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

The operating characteristic curve plots the values of $\beta$ (the probability of committing a Type II error)versus the values of the population mean $\mu$ .

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