The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 100 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape). O mean = $115,000, standard deviation = $2,500, and shape approximately normal by the Central Limit Theorem unknown O mean = $115,000, standard deviation = $6,250, and shape O mean = $115,000, standard deviation = $6,250, and shape = exactly normal mean = $115,000, standard deviation = $25,000, and shape = exactly normal O mean $115,000, standard deviation = $2,500, and shape = exactly normal

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
### Sampling Distribution of the Sample Mean

The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 100 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape).

#### Options:
1. **Mean = $115,000, standard deviation = $2,500, and shape = approximately normal by the Central Limit Theorem**
2. **Mean = $115,000, standard deviation = $6,250, and shape = unknown**
3. **Mean = $115,000, standard deviation = $6,250, and shape = exactly normal**
4. **Mean = $115,000, standard deviation = $25,000, and shape = exactly normal**
5. **Mean = $115,000, standard deviation = $2,500, and shape = exactly normal**
Transcribed Image Text:### Sampling Distribution of the Sample Mean The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 100 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape). #### Options: 1. **Mean = $115,000, standard deviation = $2,500, and shape = approximately normal by the Central Limit Theorem** 2. **Mean = $115,000, standard deviation = $6,250, and shape = unknown** 3. **Mean = $115,000, standard deviation = $6,250, and shape = exactly normal** 4. **Mean = $115,000, standard deviation = $25,000, and shape = exactly normal** 5. **Mean = $115,000, standard deviation = $2,500, and shape = exactly normal**
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE 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