The New York State Department of Conservation and the National Weather Service studied the pollution in New York city in 1973. Daily readings of the air quality values were collected for May 1 to September 30. The variable 'ozone' represents the mean ozone in parts per billion from 13:00 to 15:00 hours at Roosevelt Island. Below you find the density histogram and the empirical (cumulative) distribution function for 116 measurements. 0.025 1.0-

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1. The New York State Department of Conservation and the National Weather
Service studied the pollution in New York city in 1973. Daily readings of the air
quality values were collected for May 1 to September 30. The variable 'ozone'
represents the mean ozone in parts per billion from 13:00 to 15:00 hours at
Roosevelt Island. Below you find the density histogram and the empirical
(cumulative) distribution function for 116 measurements.
0.025-
0.020-
0.015-
0010-
0.005
0.000-
100
150
1.0-
0.8-
0.6-
0.4
0.2-
0.0-
100
150
a. Estimate what proportion of ozone data is smaller than or equal to 50 ppb
based on the density histogram.
b. Estimate what proportion of ozone data is smaller than or equal to 50 ppb
based on the empirical distribution function.
c. Estimate what ozone value is only overshooted in 10% of the time.
d. Estimate the 95-th percentile.
Transcribed Image Text:1. The New York State Department of Conservation and the National Weather Service studied the pollution in New York city in 1973. Daily readings of the air quality values were collected for May 1 to September 30. The variable 'ozone' represents the mean ozone in parts per billion from 13:00 to 15:00 hours at Roosevelt Island. Below you find the density histogram and the empirical (cumulative) distribution function for 116 measurements. 0.025- 0.020- 0.015- 0010- 0.005 0.000- 100 150 1.0- 0.8- 0.6- 0.4 0.2- 0.0- 100 150 a. Estimate what proportion of ozone data is smaller than or equal to 50 ppb based on the density histogram. b. Estimate what proportion of ozone data is smaller than or equal to 50 ppb based on the empirical distribution function. c. Estimate what ozone value is only overshooted in 10% of the time. d. Estimate the 95-th percentile.
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