A survey of statistics professors asked them to rate the importance of teaching nonparametric techniques. The possible responses are

Very important

Quite important

Somewhat important

Not too important

Not important at all

The professors were classified as either a member of the Mathematics Department or a member of some other department. The responses were coded (codes 5, 4, 3, 2, and 1, respectively) and recorded. Can we infer that members of the Mathematics Department rate nonparametric techniques as more important than do members of other departments?