The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.9 ppm and standard deviation 1.6 ppm. 10 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)What is the probability that one randomly selected city's waterway will have more than 9.1 ppm pollutants? For the 10 cities, find the probability that the average amount of pollutants is more than 9.1 ppm. For part d), is the assumption that the distribution is normal necessary? NoYesFind the IQR for the average of 10 cities.Q1 = ppmQ3 = ppmIQR: ppm

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.9 ppm and standard deviation 1.6 ppm. 10 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that one randomly selected city's waterway will have more than 9.1 ppm pollutants?
For the 10 cities, find the probability that the average amount of pollutants is more than 9.1 ppm.
For part d), is the assumption that the distribution is normal necessary? NoYes
Find the IQR for the average of 10 cities.
Q1 =  ppm
Q3 =  ppm
IQR:  ppm

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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