5. A typical person in America consumes 14.9 kilograms of meat, 5.5 kilograms of ice cream and drinks 149.3 liters of soda each year according to USA Today. A random sample of 30 people is selected and the following summary statistic are obtained. (Assume that the variables are normally distributed.) Meat (kg/year) Ice Cream (kg/year) Soda (L/year) Sample Mean Sample Standard Deviation 16 5.1 154.5 1.2 1.85 19 a) (5 pts) Construct a 95% two-sided confidence interval for the population mean amount of meat (kilograms) consumed by Americans. b) (5 pts) Construct a 95% two-sided confidence interval for the population mean amount of ice cream (kilograms) consumed by Americans. c) (5 pts) Construct a 95% two-sided confidence interval for the population mean amount of soda (liters) consumed by Americans. d) (5 pts) Does this sample support the claim of USA Today? Explain your answer.