A Statistics teacher wants to compare her two classes to see if they performed any differently on the test she gave that semester. Class A had 25 students with an average score of 70, standard deviation 15. Class B had 20 students with an average score of 74, standard deviation 25. Using α = 0.05, did these two classes performed differently on the tests?

a. Define Null and Alternative Hypothesis
b. State Alpha
c. Calculate Degrees of Freedom
d. State Decision Rule
e. Calculate Test Statistic
f. State Results
g. State Conclusion