21. A study done by a community group in two neighbouring colleges to determine the number of math classes taken. A random of 11 College A graduates had an average of 4 math classes with a standard deviation of 1.5 math classes. A random sample of 9 college B graduates had an average of 3.5 classes with a standard deviation of 1.3. The community group wants to know if there is evidence that a student who graduates from college A taken more math classes, on average. Don't do the entire test.

(a) What would the critical value of t be for pooled variance t test for this data, using =0.01.?

(b) What would the observed (calculated) value of t be for the pooled variance t test?