A random sample of 50 tourists in Chattanooga showed that they spent an average of $2100 (in a week) with a standard deviation of $120; and a sample of 55 tourists in Orlando showed that they spent an average of $2400 (in a week) with a standard deviation of $125. Assuming the variance of spending across two cities is NOT the same. a. We are interested in testing the hypothesis that average expenditures of all the tourists in Chattanooga is less than that in Orlando. Formulate the hypothesis and test the hypothesis at signicance level 0.01 using rejection point approach. b. Determine and interpret a 95% condence interval for the average expenditures difference between tourists in Chattanooga and tourists in Orlando. (Please keep at least four decimal places)