VIU is interested in student characteristics that determine which cafeteria they prefer. In particular, it is interested in whether mean age of students who use the upper cafeteria differ from the mean age of students who use the lower cafeteria. Data on independent random samples taken at the two cafeterias show: Upper Cafeteria Lower Cafeteria n1 = 16 n2 = 20 X2 = 17 X1 = 20 S1 = 3 $2 = 5 For =0.02, can you conclude that there is a difference between the two population means? State the null and alternate hypotheses and Show all your work