2. The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals the mean yearly consumption to be 60 gallons with a standard deviation of 20 gallons.

a. What is the value of the population mean? What is the best estimate of this value?

b. Explain why we need to use the t distribution. What assumption do you need to make?

c. For a 90% confidence interval, what is the value of t? d. Develop the 90% confidence interval for the population mean. e. Would it be reasonable to conclude that the population mean is 63 gallons?