6. The following data are from a random sample (not self-selected) of employees of MacMillan University who filled out a questionnaire regarding their lunch habits. Arts Library Law Brown Bag 23 32 18 Cafeteria 56 50 22 Home 11 3 6 No Lunch 8 14 7 a) Test whether the type of lunch depends significantly on the building in which the employee works. b) Find a 98% confidence interval for the proportion of employees who are brown- baggers. c) Brown-baggers spend an average of $3.90 per day on lunch, cafeteria-goers spend an average of $8.85, those who eat at home spend a daily average of $4.10, and, of course, those who eat no lunch spend nothing. Compute a 95% confidence interval for the overall mean amount spent by employees at lunch