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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text: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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