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Name: 2 methods are used for measuring particulate matter (PM 2.5): a PMI fi
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 2 methods are used for measuring particulate matter (PM 2.5): a PMI filter based 24 hour average and a pDR-1500 direct reading 24 hour average. The PMI method has a mean of 22 ug/m^3 and a standard deviation of 2.5 ug/m3. The pDR-1500 has a mean of 1

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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2 methods are used for measuring particulate matter (PM 2.5): a PMI filter based 24 hour average and a pDR-1500 direct reading 24 hour average. The PMI method has a mean of 22 ug/m^3 and a standard deviation of 2.5 ug/m3. The pDR-1500 has a mean of 18 ug/m^3 and a standard deviation of 2 ug/m^3 . You get one measurement from each device

(not on the same day).

What are the mean and standard deviation of the difference in PM2.5 values between the two methods (PMI – pDR-1500)?
Assume that the difference in concentrations has a Normal distribution. What is the probability that the concentration you measure on the PMI is higher than on the pDR-1500?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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