In 2017 a pollution index was calculated for a sample of cities in the eastern states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 42.7 points with a standard deviation of 11.1 points. Complete parts (a) through (c) below. a. What percentage of eastern cities would you expect to have a pollution index between 20.5 and 64.9 points? % (Type a whole number.) b. What percentage of eastern cities would you expect to have a pollution index between 31.6 and 53.8 points? % (Type a whole number.) c. The pollution index for an eastern city, in 2017, was 52.6 points. Based on this distribution, was this unusually high? Explain. O A. Yes, because 52.6 falls within three standard deviations of the mean, so it is therefore an unusually high pollution index. O B. No, because 52.6 falls within two standard deviations away from the mean, and it is therefore not an unusually high pollution index. O C. No, because 52.6 falls exactly two standard deviations away from the mean, and it is therefore not an unusually high pollution index. O D. Yes, because 52.6 falls within two standard deviations of the mean, so it is therefore an unusually high pollution index.
In 2017 a pollution index was calculated for a sample of cities in the eastern states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 42.7 points with a standard deviation of 11.1 points. Complete parts (a) through (c) below. a. What percentage of eastern cities would you expect to have a pollution index between 20.5 and 64.9 points? % (Type a whole number.) b. What percentage of eastern cities would you expect to have a pollution index between 31.6 and 53.8 points? % (Type a whole number.) c. The pollution index for an eastern city, in 2017, was 52.6 points. Based on this distribution, was this unusually high? Explain. O A. Yes, because 52.6 falls within three standard deviations of the mean, so it is therefore an unusually high pollution index. O B. No, because 52.6 falls within two standard deviations away from the mean, and it is therefore not an unusually high pollution index. O C. No, because 52.6 falls exactly two standard deviations away from the mean, and it is therefore not an unusually high pollution index. O D. Yes, because 52.6 falls within two standard deviations of the mean, so it is therefore an unusually high pollution index.
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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In 2017 a pollution index was calculated for a sample of cities in the eastern states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was
42.7
points with a standard deviation of
11.1
points. Complete parts (a) through (c) below.
Transcribed Image Text:In 2017 a pollution index was calculated for a sample of cities in the eastern states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 42.7
points with a standard deviation of 11.1 points. Complete parts (a) through (c) below.
a. What percentage of eastern cities would you expect to have a pollution index between 20.5 and 64.9 points?
% (Type a whole number.)
b. What percentage of eastern cities would you expect to have a pollution index between 31.6 and 53.8 points?
% (Type a whole number.)
c. The pollution index for an eastern city, in 2017, was 52.6 points. Based on this distribution, was this unusually high? Explain.
O A. Yes, because 52.6 falls within three standard deviations of the mean, so it is therefore an unusually high pollution index.
B. No, because 52.6 falls within two standard deviations away from the mean, and it is therefore not an unusually high pollution index.
O C. No, because 52.6 falls exactly two standard deviations away from the mean, and it is therefore not an unusually high pollution index.
O D. Yes, because 52.6 falls within two standard deviations of the mean, so it is therefore an unusually high pollution index.
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