3) Suppose you work for a city health agency and are asked to estimate the mean caffeine content per five ounces for a coffee shop. You find that a random sample of 12 five ounce servings has a mean caffeine content of $3 milligrams. Suppose the population standard deviation is 35 milligrams. a. Construct a 99% confidence interval. b. Give a statement explaining the meaning of the confidence interval in part a. 4) In a survey of 50 adults, 13 said they were taking Vitamin E as a supplement. a. Construct a 95% confidence interval. b. Give a statement explaining the meaning of the confidence interval in part a. c. If in part a of this problem you were to construct a 99% confidence interval, what affect would this have on the confidence interval? Explain