An intelligence quotient (IQ) is a numerical measure of human intelligence. A researcher wanted to find a confidence interval for the true mean of the differences between the IQ's of identical twins. She recorded the IQ's for 31 randomly chosen identical twins. The data is found below. (NOTE: in order to copy the data correctly, copy all columns into a blank excel sheet, then copy the data you need from there into the toolbox.) Define the difference as Twin A - Twin B. Input the lower bound of a 95% confidence interval. Family Twin A Twin B 1 83 79 2 86 67 3 74 70 4 81 96 5 118 116 6 107 111 7 87 82 8 109 75 9 82 94 10 106 73 11 83 120 12 68 98 13 74 112 14 119 71 15 102 71 16 79 99 17 103 99 18 93 83 19 101 67 20 109 71 21 87 122 22 81 87 23 86 116 24 77 118 25 96 81 26 87 108 27 95 86 28 68 93 29 91 81 30 74 75 31 119 90