To test whether or not there is a difference between the mean grade point averages of male math majors and female math majors at a certain university, 2 random samples were gathered. For the 35 males we find out that the sample mean is 3.1 with s=0.2. For the 20 females, the sample mean is 3.2 with s=0.15. Test at a 1% level of significance

a. State the null and alternative hypothesis.

b. Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model, that is "cut-off" critical levels

c. Formulate the decision rule , i,e., include one-tail test left, one-tail test right or two-tail determination

d. Determine the experimental outcome

e. Determine the conclusion

(Please include the graph.)