A yogurt company claims that its yogurt ice cream has no more than 2.00 mgs. of fat. You sample 25 cups of yogurt and find that the sample mean is 2.10 milligrams and the sample standard deviation is .40 milligrams.
(a) Test the claim at the .05 significance level
(b) No claim was made by the company. They took a sample with the above results and want to construct a two-sided 95% confidence interval for the population mean. The upper limit of the confidence interval is: