Do the data provide evidence that Californias S02 and CO AQI levels differ, on average? Test at the 10% level of significance.

STAT 151 Assignment 5 Total: 97 marks 2. The Air Quality Index (AQI) is used to measure air quality near roadways and industrial regions in large cities. Governments report AQI values for common pollutants to keep the public informed about air quality. AQI values of 0-50 are regarded as good, 51-100 as moderate, 101-150 as unhealthy for sensitive individuals, 151-200 as unhealthy, 201-300 as very unhealthy, and beyond 300 as hazardous. The following table gives AQI values for S02 (Sulphur Dioxide) and CO (Carbon Monoxide) from a random sample of 20 locations in California, between the years 2000 and 2010. Location SO2 AQI CO AQI AQI Diff (SO2-CO) 1 1 3 -2 2 4 6 -2 3 3 6 -3 4 3 2 1 5 11 31 -20 6 0 8 -8 7 1 6 -5 8 27 5 22 9 7 16 -9 10 3 8 -5 11 0 7 -7 12 4 5 -1 13 2 5 14 21 44 15 3 5 -2 16 3 8 - 5 17 4 5 -1 18 0 2 -2 19 5 -4 20 9 12 -3 Summary Statistics X1 = 5.6; s = 7.03 X2 = 9.3; s = 10.42 X1 = -3.7; s = 8.84