The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.6 ppm and standard deviation 1.8 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have less than 7.6 ppm pollutants? d. For the 38 cities, find the probability that the average amount of pollutants is less than 7.6 ppm. e. For part d), is the assumption that the distribution is normal necessary? OYes No f. Find the 1QR for the average of 38 cities. Q1 ppm Q3 ppm IQR: ppm
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.6 ppm and standard deviation 1.8 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have less than 7.6 ppm pollutants? d. For the 38 cities, find the probability that the average amount of pollutants is less than 7.6 ppm. e. For part d), is the assumption that the distribution is normal necessary? OYes No f. Find the 1QR for the average of 38 cities. Q1 ppm Q3 ppm IQR: ppm
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
Topic Video
Question
Part d, e and f please
![The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.6
ppm and standard deviation 1.8 ppm. 38 randomly selected large cities are studied. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X- N
b. What is the distribution of ? - N(
c. What is the probability that one randomly selected city's waterway will have less than 7.6 ppm
pollutants?
d. For the 38 cities, find the probability that the average amount of pollutants is less than 7.6 ppm.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
f. Find the IQR for the average of 38 cities.
Q1 =
ppm
Q3
ppm
IQR:
ppm
Hint:
Some Helpful Videos:
• Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
Hint
RasmusseRE
habits-gged). pdf 7-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24b8115f-9a19-47b6-814b-3be924127cef%2Fefca4345-e3fb-48dd-8fe6-5e08a9d19dc6%2Fs49gvr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.6
ppm and standard deviation 1.8 ppm. 38 randomly selected large cities are studied. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X- N
b. What is the distribution of ? - N(
c. What is the probability that one randomly selected city's waterway will have less than 7.6 ppm
pollutants?
d. For the 38 cities, find the probability that the average amount of pollutants is less than 7.6 ppm.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
f. Find the IQR for the average of 38 cities.
Q1 =
ppm
Q3
ppm
IQR:
ppm
Hint:
Some Helpful Videos:
• Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
Hint
RasmusseRE
habits-gged). pdf 7-
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman