Question: Students are surveyed as to the degree of satisfaction with their instructors, and are asked to rate them on a one-to-five scale.

The survey results for two academic departments are as follows:

psychology: 120 students surveyed, average instructor rating = 2.0, sample standard deviation = 0.6

math: 34 students surveyed, average instructor rating = 1.7, sample standard deviation = 0.7

At the 90% confidence level, is there a difference between the mean instructor ratings between the two departments?