Concentration of atmospheric pollutants such as carbon monoxide (CO) can be measured with a spectrophotometer. In a calibration test, 50 measurements were taken of laboratory gas sample that is known to have a CO concentration of 70 ppm. A measurement is considered to be satisfactory if it is within 5 ppm of the true concentration. Of the 50 measurements, 37 were satisfactory. Find a 95 % confidence interval for the proportion of measurements made by this instrument that will be satisfactory. How many measurements must be taken to specify the proportion of satisfactory measurements to within ± 0.10 with 95% confidence?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Concentration of atmospheric pollutants such as carbon monoxide (CO) can be measured
with a spectrophotometer. In a calibration test, 50 measurements were taken of laboratory
gas sample that is known to have a CO concentration of 70 ppm. A measurement is
considered to be satisfactory if it is within 5 ppm of the true concentration. Of the 50
measurements, 37 were satisfactory. Find a 95 % confidence interval for the proportion
of measurements made by this instrument that will be satisfactory.
How many measurements must be taken to specify the proportion of satisfactory
measurements to within+0.10 with 95% confidence?
Transcribed Image Text:Concentration of atmospheric pollutants such as carbon monoxide (CO) can be measured with a spectrophotometer. In a calibration test, 50 measurements were taken of laboratory gas sample that is known to have a CO concentration of 70 ppm. A measurement is considered to be satisfactory if it is within 5 ppm of the true concentration. Of the 50 measurements, 37 were satisfactory. Find a 95 % confidence interval for the proportion of measurements made by this instrument that will be satisfactory. How many measurements must be taken to specify the proportion of satisfactory measurements to within+0.10 with 95% confidence?
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