Question: The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.

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 percent confidence interval, what is the value of t ?

d) Develop the 90 percent confidence interval for the population mean.

e) Would it be reasonable to conclude that the population mean is 63 pounds?