. Three years ago, the mean price of an existing single-family home was $243,715. A real estate broker believes that existing home prices in her neighborhood are higher. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type Il error.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Problem 14: Hypothesis Testing on Home Prices**

Three years ago, the mean price of an existing single-family home was $243,715. A real estate broker believes that existing home prices in her neighborhood are higher.

**(a) Determine the null and alternative hypotheses.**

- \( H_0: \) (1) ________ (2) ________ $ ________
- \( H_1: \) (3) ________ (4) ________ $ ________

(Type integers or decimals. Do not round.)

**(b) Explain what it would mean to make a Type I error.**

Which of the following is a Type I error?

- ○ A. The broker rejects the hypothesis that the mean price is $243,715, when it is the true mean cost.
- ○ B. The broker fails to reject the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715.
- ○ C. The broker rejects the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715.
- ○ D. The broker fails to reject the hypothesis that the mean price is $243,715, when it is the true mean cost.

**(c) Explain what it would mean to make a Type II error.**

Which of the following is a Type II error?

- ○ A. The broker rejects the hypothesis that the mean price is $243,715, when it is the true mean cost.
- ○ B. The broker rejects the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715.
- ○ C. The broker fails to reject the hypothesis that the mean price is $243,715, when it is the true mean cost.
- ○ D. The broker fails to reject the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715.
Transcribed Image Text:**Problem 14: Hypothesis Testing on Home Prices** Three years ago, the mean price of an existing single-family home was $243,715. A real estate broker believes that existing home prices in her neighborhood are higher. **(a) Determine the null and alternative hypotheses.** - \( H_0: \) (1) ________ (2) ________ $ ________ - \( H_1: \) (3) ________ (4) ________ $ ________ (Type integers or decimals. Do not round.) **(b) Explain what it would mean to make a Type I error.** Which of the following is a Type I error? - ○ A. The broker rejects the hypothesis that the mean price is $243,715, when it is the true mean cost. - ○ B. The broker fails to reject the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715. - ○ C. The broker rejects the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715. - ○ D. The broker fails to reject the hypothesis that the mean price is $243,715, when it is the true mean cost. **(c) Explain what it would mean to make a Type II error.** Which of the following is a Type II error? - ○ A. The broker rejects the hypothesis that the mean price is $243,715, when it is the true mean cost. - ○ B. The broker rejects the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715. - ○ C. The broker fails to reject the hypothesis that the mean price is $243,715, when it is the true mean cost. - ○ D. The broker fails to reject the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,715.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman