Question 1

The probability of a Type II error is denoted by ____________________.

Accepted Answer

The answer of The probability of a Type II error...

Question 2

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

Accepted Answer

A) True 
 B)False

Question 3

After you set up the hypotheses and collect your data, you calculate the statistic that serves as the criterion for making your decision. This number is called the ____________________ statistic.

Accepted Answer

The answer of After you set up the hypotheses and...

Question 4

In testing the hypotheses H0: $\mu$= 50 vs. H1: $\mu$$\neq$ 50, the following information is known: n = 64, $\bar { x }$  = 53.5, and $\sigma$ = 10. The standardized test statistic z equals:

Accepted Answer

A) 1.96 
B) -2.80 
C) 2.80 
D) -1.96 
A) 1.96 
B) -2.80 
C) 2.80 
D) -1.96

Question 5

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

Accepted Answer

A) True 
 B)False

Question 6

NARRBEGIN: Production Filling
Production Filling
A production filling operation has a historical standard deviation of 6 ounces. When in proper adjustment, the mean filling weight for the production process is 50 ounces. A quality control inspector periodically selects at random 36 containers and uses the sample mean filling weight to see if the process is in proper adjustment.NARREND
-{Production Filling Narrative} Develop a 95% confidence interval and use it to test the hypothesis.

Accepted Answer

LCL = 46.64, and UCL = 50.56.

Question 7

Formulate the null and alternative hypothesis in each case:
a.Ten years ago the average American drank 2.5 cups of coffee per day. You suspect that amount has changed since then.
b.A researcher at Ohio State University speculates that the average SAT score for entering freshmen is higher than the national average of 1,650.
c.The manager of the University of Iowa bookstore suspects the average amount of money a student spends on books is less than the reported $400.

Accepted Answer

a.H₀: @#LAT-DLM& =2.5, H₁: @#LAT-DLM&@#LAT-DLM& 2.5

Question 8

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

Accepted Answer

A) True 
 B)False

Question 9

The owner of a local Karaoke Bar has recently surveyed a random sample of n = 300 customers of the bar. She would now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. If she wants to be 99% confident in her decision, what rejection region she use if the population standard deviation$\sigma$is known?

Accepted Answer

A) Reject H0 if z 0 if z 0 if z > 2.33 
D) Reject H0 if z > 2.58 
A) Reject H0 if z 0 if z 0 if z > 2.33 
D) Reject H0 if z > 2.58

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

For a given level of significance, if the sample size is increased, the power of the test will increase.

Accepted Answer

A) True 
 B)False

Question 12

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05?

Accepted Answer

A) 0.150 
B) 0.100 
C) 0.051 
D) 0.025 
A) 0.150 
B) 0.100 
C) 0.051 
D) 0.025

Question 13

NARRBEGIN: Watching the News
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.NARREND
-{Watching the News Narrative} Determine the p-value.

Accepted Answer

The answer of NARRBEGIN: Watching the News
Watching the News
A researcher...

Question 14

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 15

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

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

As the alternative value of $\mu$increases, so does the power of the test.

Accepted Answer

A) True 
 B)False

Question 18

If a researcher rejects a false null hypothesis, she has made a(n) ____________________ decision.

Accepted Answer

The answer of If a researcher rejects a false null...

Question 19

In testing the hypotheses H0: $\mu$ = 50 vs. H1: $\mu$ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if $\alpha$ = .025.

Accepted Answer

p-value = 0.0559 >@#LAT-DLM&. Fail to re

Question 20

A(n) ____________________ characteristic curve plots the probability of a Type II error for various alternative values of ____________________.

Accepted Answer

The answer of A(n) ____________________ characteristic curve plots the probability...

The probability of a Type II error is denoted by ____________________.

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

After you set up the hypotheses and collect your data, you calculate the statistic that serves as the criterion for making your decision. This number is called the ____________________ statistic.

In testing the hypotheses H₀: $\mu$ = 50 vs. H₁: $\mu$ $\neq$ 50, the following information is known: n = 64, $\bar { x }$ = 53.5, and $\sigma$ = 10. The standardized test statistic z equals:

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

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

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

For a given level of significance, if the sample size is increased, the power of the test will increase.

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05?

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:

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

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

As the alternative value of $\mu$ increases, so does the power of the test.

If a researcher rejects a false null hypothesis, she has made a(n) ____________________ decision.

In testing the hypotheses H₀: $\mu$ = 50 vs. H₁: $\mu$ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if $\alpha$ = .025.

A(n) characteristic curve plots the probability of a Type II error for various alternative values of .

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

The probability of a Type II error is denoted by ____________________.

In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

After you set up the hypotheses and collect your data, you calculate the statistic that serves as the criterion for making your decision. This number is called the ____________________ statistic.

In testing the hypotheses H0: μ\muμ = 50 vs. H1: μ\muμ≠\neq= 50, the following information is known: n = 64, xˉ\bar { x }xˉ = 53.5, and σ\sigmaσ = 10. The standardized test statistic z equals:

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

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.

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

For a given level of significance, if the sample size is increased, the power of the test will increase.

Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05?

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:

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

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

As the alternative value of μ\muμ increases, so does the power of the test.

If a researcher rejects a false null hypothesis, she has made a(n) ____________________ decision.

In testing the hypotheses H0: μ\muμ = 50 vs. H1: μ\muμ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if α\alphaα = .025.

A(n) ____________________ characteristic curve plots the probability of a Type II error for various alternative values of ____________________.

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

In testing the hypotheses H₀: $\mu$ = 50 vs. H₁: $\mu$ $\neq$ 50, the following information is known: n = 64, $\bar { x }$ = 53.5, and $\sigma$ = 10. The standardized test statistic z equals:

As the alternative value of $\mu$ increases, so does the power of the test.

In testing the hypotheses H₀: $\mu$ = 50 vs. H₁: $\mu$ < 50, we found that the standardized test statistic is z = -1.59. Calculate the p-value, and state your conclusion if $\alpha$ = .025.

A(n) characteristic curve plots the probability of a Type II error for various alternative values of .