MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Statements and Logic
Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.
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Please a, b and c

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.6 ppm and standard deviation 1.8 ppm. 38 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 a? - N( c. What is the probability that one randomly selected city's waterway will have less than 7.6 ppm pollutants? o.2877 d. For the 38 cities, find the probability that the average amount of pollutants is less than 7.6 ppm. e. For part d), is the assumption that the distribution is normal necessary? O Yes No f. Find the IQR for the average of 38 cities. Q1 1 = ppm Q3 ppm IQR: ppm Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+]
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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 1.8 ppm. 38 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 a? - N( c. What is the probability that one randomly selected city's waterway will have less than 7.6 ppm pollutants? o.2877 d. For the 38 cities, find the probability that the average amount of pollutants is less than 7.6 ppm. e. For part d), is the assumption that the distribution is normal necessary? O Yes No f. Find the IQR for the average of 38 cities. Q1 1 = ppm Q3 ppm IQR: ppm Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+]
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