In: Statistics and Probability
The average annual rainfall in a particular city is 37.4 inches. In a random sample of the last 38 years, it was revealed that the average annual rainfall was 38.2 inches. The population standard deviation of the average annual rainfall in the particular city is 4.7 inches. At the 0.04 level of significance, can it be concluded that the average annual rainfall in the particular city is greater than 37.4 inches? Show your work to receive credit.