Question 1

The probability of a Type II error is denoted by:

Accepted Answer

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

Question 2

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 3

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: $\mu$ = 12 vs.H1: $\mu$ $\neq$ 12, H0 could not be rejected at the 0.05 level.

Accepted Answer

A) True 
 B)False

Question 4

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion.
a.
two-tail test, with z = 1.50, and$\alpha$= .10
b.
one-tail test, with z = 1.05, and $\alpha$= .05
c.
one-tail test, with z = -2.40, and $\alpha$ = .01

Accepted Answer

a.
0.1336, fail to r

Question 5

The level of significance can be:

Accepted Answer

A)  any number between -1.0 and 1.0. 
B)  any number greater than zero. 
C)  any number greater than 1.96 or less than -1.96. 
D)  None of these choices. 
A)  any number between -1.0 and 1.0. 
B)  any number greater than zero. 
C)  any number greater than 1.96 or less than -1.96. 
D)  None of these choices.

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

Accepted Answer

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

Question 7

A p-value is usually set at 0.05.

Accepted Answer

A) True 
 B)False

Question 8

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 9

You cannot commit a(n) ____________________ error when the null hypothesis is false.

Accepted Answer

The answer of You cannot commit a(n) ____________________ error when...

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 Test statistic

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

H₀: @#LAT-DLM& = 250

Question 12

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

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

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

Question 14

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 15

In a criminal trial, a Type I error is made when an innocent person is convicted.

Accepted Answer

A) True 
 B)False

Question 16

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

Accepted Answer

A)  p-value = $\alpha$ 
B)  p-value  $\alpha$ 
D)  -$\alpha$ < p-value < $\alpha$ 
A)  p-value = $\alpha$ 
B)  p-value  $\alpha$ 
D)  -$\alpha$ < p-value < $\alpha$

Question 17

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 18

Using the confidence interval when conducting a two-tail test for the population mean $\mu$, we do not reject the null hypothesis if the hypothesized value for $\mu$falls between the lower and upper confidence limits.

Accepted Answer

A) True 
 B)False

Question 19

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

Accepted Answer

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

Question 20

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} Explain briefly how to use the confidence interval to test the hypothesis.

Accepted Answer

Since the hypothesized value @#LAT-DLM&₀

The probability of a Type II error is denoted by:

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:

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: $\mu$ = 12 vs.H₁: $\mu$ $\neq$ 12, H₀ could not be rejected at the 0.05 level.

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion. a. two-tail test, with z = 1.50, and $\alpha$ = .10 b. one-tail test, with z = 1.05, and $\alpha$ = .05 c. one-tail test, with z = -2.40, and $\alpha$ = .01

The level of significance can be:

A p-value is usually set at 0.05.

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.

You cannot commit a(n) ____________________ error when the null hypothesis is false.

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.

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

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

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

In a criminal trial, a Type I error is made when an innocent person is convicted.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

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

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ , we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

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

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 11: Introduction to Hypothesis Testing

The probability of a Type II error is denoted by:

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:

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: μ\muμ = 12 vs.H1: μ\muμ ≠\neq= 12, H0 could not be rejected at the 0.05 level.

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion. a. two-tail test, with z = 1.50, and α\alphaα = .10 b. one-tail test, with z = 1.05, and α\alphaα = .05 c. one-tail test, with z = -2.40, and α\alphaα = .01

The level of significance can be:

A p-value is usually set at 0.05.

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.

You cannot commit a(n) ____________________ error when the null hypothesis is false.

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.

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

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

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

In a criminal trial, a Type I error is made when an innocent person is convicted.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

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

Using the confidence interval when conducting a two-tail test for the population mean μ\muμ , we do not reject the null hypothesis if the hypothesized value for μ\muμ falls between the lower and upper confidence limits.

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

Simple Linear Regression and Correlation

Multiple Regression

Filters

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: $\mu$ = 12 vs.H₁: $\mu$ $\neq$ 12, H₀ could not be rejected at the 0.05 level.

Determine the p-value associated with each of the following values of the standardized test statistic z, and state your conclusion. a. two-tail test, with z = 1.50, and $\alpha$ = .10 b. one-tail test, with z = 1.05, and $\alpha$ = .05 c. one-tail test, with z = -2.40, and $\alpha$ = .01

Using the confidence interval when conducting a two-tail test for the population mean $\mu$ , we do not reject the null hypothesis if the hypothesized value for $\mu$ falls between the lower and upper confidence limits.

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