Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( 6 10 8° oº Suppose that 37 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? - N 8.5 X, 0.6667 x c. What is the probability that the average of 37 children will be between 8 and 8.6 years old? Hint:
Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( 6 10 8° oº Suppose that 37 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? - N 8.5 X, 0.6667 x c. What is the probability that the average of 37 children will be between 8 and 8.6 years old? Hint:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Help with b, and c
![### Age Distribution of Students at George Washington Elementary School
Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible.
#### Questions:
**a. What is the distribution of \(X\)?**
\[ X \sim U(6, 10) \]
**b. Suppose that 37 children from the school are surveyed. Then the sampling distribution is:**
\[ \bar{X} \sim N(8.5, 0.6667) \]
**c. What is the probability that the average of 37 children will be between 8 and 8.6 years old?**
\[ (\text{To be computed}) \]
#### Hint:
- [Hint](#)
- [Textbook Pages](#)
---
**Submit your answers by clicking the "Submit Question" button below.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba867a91-7946-4dc8-8b92-57b0d80fa10e%2Fed84d14f-2984-4b62-9b7a-b2378d8b5db0%2Fxns0se_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Age Distribution of Students at George Washington Elementary School
Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible.
#### Questions:
**a. What is the distribution of \(X\)?**
\[ X \sim U(6, 10) \]
**b. Suppose that 37 children from the school are surveyed. Then the sampling distribution is:**
\[ \bar{X} \sim N(8.5, 0.6667) \]
**c. What is the probability that the average of 37 children will be between 8 and 8.6 years old?**
\[ (\text{To be computed}) \]
#### Hint:
- [Hint](#)
- [Textbook Pages](#)
---
**Submit your answers by clicking the "Submit Question" button below.**
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 7 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman