The following table shows the random samples taken of the number of students per class for School A and School B. The superintendent believes that the mean class size for School B is higher than for School A. Is the superintendent correct? Perform the relevant test at the 5% significance level.

School A	School B
21	26
23	22
21	20
25	28
20	19
18	17
17	20
20	22
21	21
22	23
23	25
25	20
24	23
22	21
25	24