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MATLAB: An Introduction with Applications
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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### Analyzing Pollutant Levels in Waterways Near Large Cities The amount of pollutants found in waterways near large cities follows a normal distribution with a mean of 9.1 ppm (parts per million) and a standard deviation of 1.7 ppm. We study 35 randomly selected large cities. All answers are rounded to 4 decimal places where possible. **a. Distribution of X** - \( X \sim N( \, \) [Blank text field for mean], [Blank text field for standard deviation]) **b. Distribution of \( \bar{x} \)** - \( \bar{x} \sim N( \, \) [Blank text field for mean], [Blank text field for standard error]) **c. Probability of One City Exceeding 9.1 ppm** - What is the probability that a randomly selected city's waterway will have more than 9.1 ppm pollutants? [Blank text field for probability] **d. Probability of the Average of 35 Cities Exceeding 9.1 ppm** - For the 35 cities, find the probability that the average amount of pollutants is more than 9.1 ppm. [Blank text field for probability] **e. Assumption Check** - For part (d), is the assumption that the distribution is normal necessary? (No [Radio button] Yes [Radio button]) **f. Interquartile Range (IQR) for the Average of 35 Cities** - Find the IQR for the average of 35 cities. - Q1 = [Blank text field] ppm - Q3 = [Blank text field] ppm - IQR: [Blank text field] ppm ### Explanation of Diagrams There are no graphs or diagrams in this text. It contains several fields requiring input for the variables related to the normal distribution, calculations of probabilities, normalization assumptions, and interquartile range (IQR) calculations.
Transcribed Image Text:### Analyzing Pollutant Levels in Waterways Near Large Cities The amount of pollutants found in waterways near large cities follows a normal distribution with a mean of 9.1 ppm (parts per million) and a standard deviation of 1.7 ppm. We study 35 randomly selected large cities. All answers are rounded to 4 decimal places where possible. **a. Distribution of X** - \( X \sim N( \, \) [Blank text field for mean], [Blank text field for standard deviation]) **b. Distribution of \( \bar{x} \)** - \( \bar{x} \sim N( \, \) [Blank text field for mean], [Blank text field for standard error]) **c. Probability of One City Exceeding 9.1 ppm** - What is the probability that a randomly selected city's waterway will have more than 9.1 ppm pollutants? [Blank text field for probability] **d. Probability of the Average of 35 Cities Exceeding 9.1 ppm** - For the 35 cities, find the probability that the average amount of pollutants is more than 9.1 ppm. [Blank text field for probability] **e. Assumption Check** - For part (d), is the assumption that the distribution is normal necessary? (No [Radio button] Yes [Radio button]) **f. Interquartile Range (IQR) for the Average of 35 Cities** - Find the IQR for the average of 35 cities. - Q1 = [Blank text field] ppm - Q3 = [Blank text field] ppm - IQR: [Blank text field] ppm ### Explanation of Diagrams There are no graphs or diagrams in this text. It contains several fields requiring input for the variables related to the normal distribution, calculations of probabilities, normalization assumptions, and interquartile range (IQR) calculations.
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