The Department of Education would like to determine if there are gender differences in the performance of twins on the state mandated mathematics examination. As a result, they have collected data on twelve sets of twins that are male and female. These are reported in the table below:

Female	94	75	95	87	97	86	83	82	87	80	86	78
Male	78	95	85	87	92	88	100	84	82	75	86	82

a. (5) What hypotheses should be used to complete this test?

b. (4) What type of test are you using (Z, t, F, ²), what is its critical value at = 0.05?

c. (11) Perform the test and interpret your conclusions.