1. 10 points) Suppose that a researcher is interested in the amount of air pollution of major cities in North America. Therefore, this researcher recorded the amount of pollution from 100 different metropolitan areas across North America. The sample mean air pollution (measured as the air quality index, or AQI) was and a sample standard deviation was s = 19.
   1. (3 points) From previous work, it was hypothesized that new emissions policies could reduce the population mean pollution to an AQI of 105. Conduct a hypothesis test at to determine if these data provide enough evidence to conclude that the population mean AQI is less than 105. Show all appropriate work and provide a complete conclusion.