In: Statistics and Probability
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 claim, they randomly sampled 12 readings from the city over a one-year period and the sample mean PM10 concentration rate was found to be 41.17 with a sample standard deviation of 8.12. Assume that particulate readings are normally distributed. Construct a 95% confidence interval for the mean PM10 concentration level in Kabul and determine if the readings in Kabul are now less than 46, the PM10 level in 1999. Interpret your result.
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