According to data released by The World Bank, the mean PM10 (Particulate Matter) concentration for the city of Kabul, Afghanistan in 1999 was 46. Suppose that because of efforts to improve air quality in Kabul, increases in modernization, and efforts to establish environmental-friendly businesses, city leaders believe rates of particulate matter in Kabul have decreased. To test this notion, they randomly sample 12 readings over a one-year period of time with the resulting readings shown below. Do these data present enough evidence to determine that PM10 readings are significantly less now in Kabul? Assume that particulate readings are normally distributed and that α = .01.
31 44 35 53 57 47
32 40 31 38 53 45