To estimate the average weight of a yogurt-cup batch, the weights, in ounces, of a sample of 12 cups are determined to be as follows:
16.05, 16.14, 16.10, 16.04, 15.95, 16.08, 15.92, 16.02, 16.10, 15.90, 16.08, 16.12
(a) Calculate the mean and standard deviation of the sample, and estimate the standard deviation of the mean.
(b) Determine the 95 % confidence interval on the mean of the weight of the yogurt cup