To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow. Twin Pair 1 2 3 4 5 6 School A 177 152 118 91 124 111 School B 86 137 117 114 116 88 Twin Pair 7 8 9 10 11 12 School A 84 113 116 148 121 83 School B 93 79 92 136 143 109 Use a 0.05 level of significance to test the hypothesis that the two schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools are not equally effective. (a) What is the level of significance? (b) Compute the sample test statistic. (Round your answer to two decimal places.) (c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

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To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow.

Twin Pair 1 2 3 4 5 6
School A 177 152 118 91 124 111
School B 86 137 117 114 116 88

Twin Pair 7 8 9 10 11 12
School A 84 113 116 148 121 83
School B 93 79 92 136 143 109

Use a 0.05 level of significance to test the hypothesis that the two schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools are not equally effective.

(a) What is the level of significance?

(b) Compute the sample test statistic. (Round your answer to two decimal places.)
(c) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
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