Identify the appropriate hypothesis test for each of the following research situations. A researcher would like to determine whether a new program for teaching mathematics is significantly better than...

Identify the appropriate hypothesis test for each of the following research situations.

A researcher would like to determine whether a new program for teaching mathematics is significantly better than the old program. It is suspected that the new program will be very effective for small-group instruction but probably will not work well with large classes. The research study involves comparing four groups of students: a small class taught by the new method, a large class taught by the new method, a small class taught by the old method, and a large class taught by the old method.