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Air quality monitoring project

Among the data collected for the World Health Organization air quality monitoring project is a measure of suspended particles in μg/m3. Let X and Y equal the concentration of suspended particles in μg/m3 in the city center (commercial district) for Melbourne and Houston, respectively. Using n = 13 observations of X and m = 16 observations of Y , we test 

(a) Define the test statistic and critical region, assuming that the unknown variances are equal. Let α = 0.05.

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