The following is a random sample of the I.Q.€™s of husbands and wives: 108 and 103, 104 and 116, 103 and 106, 112 and 104, 99 and 99, 105 and 94, 102 and 110, 112 and 128, 119 and 106, 106 and 103, 125 and 120, 96 and 98, 107 and 117, 115 and 130, 101 and 100, 110 and 101, 103 and 96, 105 and 99, 124 and 120, and 113 and 116. Test at the 0.05 level of significance whether husbands and wives are on the average equally intelligent in the population sampled using the signed-rank test based on
(a) Table X
(b) The results of Theorem 16.1.
Theorem 16.1
Under the assumptions required by the signed- rank test, T+ is a value of a random variable with the mean

And the Variance

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n(n1) σ2_n(n +1 )(2n +1 ) 24