The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.9 ppm and standard deviation 1.7 ppm. 9 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 - N c. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? d. For the 9 cities, find the probability that the average amount of pollutants is more than 9 ppm. e. For part d), is the assumption that the distribution is normal necessary? No Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean
8.9 ppm and standard deviation 1.7 ppm. 9 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? ~ N(
c. What is the probability that one randomly selected city's waterway will have more than 9 ppm
pollutants?
d. For the 9 cities, find the probability that the average amount of pollutants is more than 9 ppm.
e. For part d), is the assumption that the distribution is normal necessary? O No Yes
Transcribed Image Text:The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.9 ppm and standard deviation 1.7 ppm. 9 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? ~ N( c. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? d. For the 9 cities, find the probability that the average amount of pollutants is more than 9 ppm. e. For part d), is the assumption that the distribution is normal necessary? O No Yes
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