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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.2 ppm and standard deviation 1.5 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. What is the distribution of �? � ~ N(,) What is the distribution of �¯? �¯ ~ N(,) What is the probability that one randomly selected city's waterway will have more than 9.5 ppm pollutants?  For the 38 cities, find the probability that the average amount of pollutants is more than 9.5 ppm.  For part d), is the assumption that the distribution is normal necessary? YesNo Find the IQR for the average of 38 cities. Q1 =  ppm Q3 =  ppm IQR:  ppm

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.2 ppm and standard deviation 1.5 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. What is the distribution of �? � ~ N(,) What is the distribution of �¯? �¯ ~ N(,) What is the probability that one randomly selected city's waterway will have more than 9.5 ppm pollutants?  For the 38 cities, find the probability that the average amount of pollutants is more than 9.5 ppm.  For part d), is the assumption that the distribution is normal necessary? YesNo Find the IQR for the average of 38 cities. Q1 =  ppm Q3 =  ppm IQR:  ppm

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.2 ppm and standard deviation 1.5 ppm. 38 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

  1. What is the distribution of �? � ~ N(,)
  2. What is the distribution of �¯? �¯ ~ N(,)
  3. What is the probability that one randomly selected city's waterway will have more than 9.5 ppm pollutants? 
  4. For the 38 cities, find the probability that the average amount of pollutants is more than 9.5 ppm. 
  5. For part d), is the assumption that the distribution is normal necessary? YesNo
  6. Find the IQR for the average of 38 cities.
    Q1 =  ppm
    Q3 =  ppm
    IQR:  ppm
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