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 more than 9.9 ppm pollutants? d. For the 7 cities, find the probability that the average amount of pollutants is more than 9.9 ppm. e. For part d), is the assumption that the distribution is normal necessary? O YesO No f. Find the IQR for the average of 7 cities. Q1 = ppm Q3 = ppm IQR: ppm

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 9.1 ppm and standard deviation 1.3 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
b. What is the distribution of ? T - N(
c. What is the probability that one randomly selected city's waterway will have more than 9.9
ppm pollutants?
d. For the 7 cities, find the probability that the average amount of pollutants is more than 9.9
ppm.
e. For part d), is the assumption that the distribution is normal necessary? O YesO No
f. Find the IQR for the average of 7 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 9.1 ppm and standard deviation 1.3 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 b. What is the distribution of ? T - N( c. What is the probability that one randomly selected city's waterway will have more than 9.9 ppm pollutants? d. For the 7 cities, find the probability that the average amount of pollutants is more than 9.9 ppm. e. For part d), is the assumption that the distribution is normal necessary? O YesO No f. Find the IQR for the average of 7 cities. Q1 = ppm Q3 = ppm IQR: ppm
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