A researcher studied a random sample of identical twins who had been separated and adopted at birth. In each case, one twin (Twin A) was adopted by a high-income family and the other (Twin B) by a low-income family. Both twins were given an IQ test as adults. Here are their scores. Pair 1 2 3 4 5 6 7 8 9 10 11 12 Twin A's IQ 128 104 108 100 116 105 100 100 103 124 114 112 Twin B's IQ 120 99 99 94 111 97 99 94 104 114 113 100 a. Construct and interpret a 95% confidence interval for the true mean difference in IQ scores among twins raised in high-income and low-income households. b. Does your interval from part (a) give convincing evidence that there is a difference in IQ scores among twins raised in high-income and low-income households? Justify your answer

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