Diesel Dave has modied his massive truck to combat global cooling, and to roll coal on his neighbor Environmentalist Ed. With each blast of diesel exhaust fumes, Diesel Dave releases sulfur dioxide in a giant black cloud. Every morning as Diesel Dave is leaving home he rolls coal into Environmentalist Eds yard. Not surprisingly, Environmentalist Ed is diligently collecting data on the air quality in his yard. Suppose Diesel Dave releases sulfur dioxide in a normally distributed manner with a mean of 2800 ppm and a standard deviation of 120 ppm. What is the probability that on a random morning he will release sulfur dioxide greater than 3000 ppm? Suppose in order to sue Diesel Dave, Environmentalist Ed needs the daily average level of sulfur dioxide emissions to exceed 3000 ppm. However, he can choose to take his mean measurement over 2, 3, or 15 days. Which number of days would maximize Environmentalist Eds chances of suing Diesel Dave? (Hint: What does the CLT say about the variance of the sampling distribution as n changes?)