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?

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