The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9 ppm and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 9 ✓1.7 OF b. What is the distribution of a? N(9 ✓ 0.6425 03 0 c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants? d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No o f. Find the IQR for the average of 7 cities. Q1 = ppm Q3= ppm IOR: ppm
The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9 ppm and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 9 ✓1.7 OF b. What is the distribution of a? N(9 ✓ 0.6425 03 0 c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm pollutants? d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm. e. For part d), is the assumption that the distribution is normal necessary? Yes No o f. Find the IQR for the average of 7 cities. Q1 = ppm Q3= ppm IOR: 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
Question
Help!
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9
ppm
and standard deviation 1.7 ppm. 7 randomly selected large cities are studied. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X - N( 9
1.7
0
b. What is the distribution of a? - N(9
✓0.6425
0 03
c. What is the probability that one randomly selected city's waterway will have less than 9.3 ppm
pollutants?
d. For the 7 cities, find the probability that the average amount of pollutants is less than 9.3 ppm.
e. For part d), is the assumption that the distribution is normal necessary? Yes No o
f. Find the IQR for the average of 7 cities.
Q1 =
ppm
Q3=
ppm
IQR:
ppm
Hint:
Hint
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
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