Question 1 (7 points) A sample of 14 cans of coffee has an average weight of 16 ounces and a variance of 4 ounces2. Assume that the weight of cans is normally distributed. When answering the questions below, make sure to explain your answers (show how you got the answers). More than half of the points for each question are allocated to your explanations. Keep 4 digits after the period for all questions (e.q., 2.4505). a) Determine the margin of error for an 80% confidence level for the population average weight. Show your work. (4 points) b) Construct the 90% C.I. for the population average weight. Show your work. (3 points)