2. (20 points) The data in Airports.xlsx contain the rating of large and medium size airports in a particular country, based on a 1000-point maximum. a. (5 points) For large airports, construct a 95% confidence interval estimate for the population mean rating. b. (5 points) For medium airports, construct a 95% confidence interval estimate for the population mean rating. c. (5 points) Interpret the confidence intervals constructed in (a) and (b). d. (5 points) What assumption must you make about the population distributions in order to construct the confidence interval estimates? Do you think that the assumption needed is valid? Explain. 3. (25 points) The data in Drink.xlsx represent the amount of soft drink filled in a sample of 50 2- liter bottles. Assume that the amount of soft drink filled is normally distributed and the population standard deviation is unknown. a. (15 points) At the 0.05 level of significance, is there evidence that the mean amount of soft drink filled is different from 2.0 liters? Use the critical value approach. Identify the appropriate test to use, explain why you use that test, and interpret your results.