(Solved): A particular brand of diet margarine was analyzed to determine the level of polyunsaturated fatty a ...

A particular brand of diet margarine was analyzed to determine the level of polyunsaturated fatty acid (in percentages). A sample of six packages resulted in the following data: 16.8, 17.2, 17.4, 16.9, 16.5, 17.1, 17.9. a. Calculate a $99\%$ confidence interval on the mean $?$.Provide a practical interpretation of this interval. b. Calculate a $99\%$ lower confidence bound on the mean. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different. c. Compute a $99\%$ prediction interval on the polyunsaturated fatty acid in the next package of margarine that is tested. d. Compare the length of the prediction interval with the length of the $99\%\mathrm{Cl}$ on the population mean.