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The amount of pollutants that are found in waterways near large cities is normally distributed with m 8.6 ppm and standard deviation 1.5 ppm. 39 randomly selected large cities are studied. Round all ans to 4 decimal places where possible. a. What is the distribution of X? X - N( 8.6 V, 1.5 b. What is the distribution of æ? a - N( 8.6 0.2402 c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm pollutants? 0.6554 d. For the 39 cities, find the probability that the average amount of pollutants is less than 9.2 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 39 cities. Q1 ppm %3D Q3 ppm %3D IQR: ppm

The amount of pollutants that are found in waterways near large cities is normally distributed with m 8.6 ppm and standard deviation 1.5 ppm. 39 randomly selected large cities are studied. Round all ans to 4 decimal places where possible. a. What is the distribution of X? X - N( 8.6 V, 1.5 b. What is the distribution of æ? a - N( 8.6 0.2402 c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm pollutants? 0.6554 d. For the 39 cities, find the probability that the average amount of pollutants is less than 9.2 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 39 cities. Q1 ppm %3D Q3 ppm %3D IQR: ppm

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 8.6 ppm and standard deviation 1.5 ppm. 39 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 8.6 1.5 b. What is the distribution of x? a- N( 8.6 , 0.2402 c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm pollutants? 0.6554 d. For the 39 cities, find the probability that the average amount of pollutants is less than 9.2 ppm. e. For part d), is the assumption that the distribution is normal necessary? O YesO No o f. Find the IQR for the average of 39 cities. Q1 ppm %3D Q3 = ppm IQR: ppm W here to search 80
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 1.5 ppm. 39 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 8.6 1.5 b. What is the distribution of x? a- N( 8.6 , 0.2402 c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm pollutants? 0.6554 d. For the 39 cities, find the probability that the average amount of pollutants is less than 9.2 ppm. e. For part d), is the assumption that the distribution is normal necessary? O YesO No o f. Find the IQR for the average of 39 cities. Q1 ppm %3D Q3 = ppm IQR: ppm W here to search 80
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