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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
80
78
Male
85
92
88
100
84
a. What hypotheses should be used to complete this test?
b. What type of test are you using (Z, t, F, χ2), what is its critical value at α = 0.05?
c. Perform the test and interpret your conclusions.
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