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.
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