32. The accompanying table summarizes data on body weight gain (g) both for a sample of animals given a 1-mg/pellet dose of a certain soft steroid and for a sample of control animals ( The Soft Drug Approach, CHEMTECH, 1984: 28—38).

Sample Sample Sample Treatment Size Mean SD Steroid 8 32.8 2.6 Control 10 40.5 2.5 Does the data suggest that the true average weight gain in the control situation exceeds that for the steroid treatment by more than 5 g? State and test the appropriate hypotheses at a signi cance level of .01 using the P-value method.