To test whether the population mean is a specified value and to construct 90 % confidence interval.
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 population mean? What is the best estimate of this value?
b. describe why we need to use the t distribution. What assumption do you require to make?
c. For a 90 percent confidence interval, what is the value of t?
d. build up the 90 percent confidence interval for population mean.
e. Would it be reasonable to conclude that population mean is 63 pounds?