Question

Suppose we wanted to test whether or not the average SAT score at Brown University was significantly different from the average SAT score at Wassamatta University. Taking a random sample, we manage to get the following 7 scores from Brown students:

Brown University: 1540    1600    1540    1480    1390    1340    1400   

and the following 9 scores from Wassamatta students:

Wassamatta University: 1440    1380    1390    1240    1400    1430    1240      1400    1200

Assuming that the variance in SAT scores for students at Brown and students at Wassamatta are the same, and assuming that both samples are taken from normal populations, test, at the α= 0.05 significance level, whether or not there is a significant difference in the average SAT score between these two schools.

Answer 1