Question: The Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 27 kg with a standard deviation of 9 kg. Assume a normal population.
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 28 kg?