The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.7 ppm. 37 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 x? ~ NO c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm pollutants?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean
10 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers
to 4 decimal places where possible.
a. What is the distribution of X? X - NO
b. What is the distribution of x? x ~ NO
c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm
pollutants?
d. For the 37 cities, find the probability that the average amount of pollutants is less than 10.5 ppm.
e. For part d), is the assumption that the distribution is normal necessary? No Yes
f. Find the IQR for the average of 37 cities.
Q1 =
ppm
Q3 =
ppm
IQR:
ppm
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.7 ppm. 37 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the distribution of x? x ~ NO c. What is the probability that one randomly selected city's waterway will have less than 10.5 ppm pollutants? d. For the 37 cities, find the probability that the average amount of pollutants is less than 10.5 ppm. e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 37 cities. Q1 = ppm Q3 = ppm IQR: ppm
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