Differences in the performance of twins

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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

87

80

86

78

Male

78

95

85

87

92

88

100

84

82

75

86

82

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.

Reference no: EM131320075

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