a. Let µi and µ2 represent the mean Full Scale IQ score for all first-born identical twins and second- born identical twins, respectively, and let µa be the mean of the differences in IQ score of all identical twins (IQ score of first-born twin - IQ score of second-born twin). Which are the appropriate null and alternative hypotheses? O (A) Họ: Ha = 0 Hg: Hg > 0 O (B) Họ: Hg = 0 Hg: Ho < 0 O (C) Họ: Hg > 0 Hạ: Ha = 0 O (D) Ho: H1= P2 H3: H1 > Hz O Both (A) and (D) are correct. b. The following is the (edited) output for the test: Paired T-Test and CI Sample First-born Mean StDev SE Mean 10 10 10 70.6 78.0 -0.43 23.4 17.4 11.83 7.4 5.5 3.74 Second-born Difference 95% lower bound for mean difference: -7.29 T-Test of mean difference = 0 (vs > 0): T-Value - -0.11 P-Value - 0.544 From the output we learn that: O The data provide sufficient evidence to reject H, and, thus, conclude that the mean Full Scale IQ score for first-born identical twins is higher than the mean Full Scale IQ score for second- born identical twins. O The data provide sufficient evidence to reject Ho- We therefore conclude the data do not provide evidence to conclude that the mean Full Scale IQ scores for first-born identical twins is higher than that of second-born identical twins. O The data do not provide sufficient evidence to reject Ho. We therefore conclude that the mean Full Scale IQ score for first-born identical twins is higher than the mean Full Scale IQ score for second-born identical twins. O The data do not provide sufficient evidence to reject Ho. In other words, based on the data we cannot conclude that the mean Full Scale IQ scores for first-born identical twins is higher than the mean Full Scale IQ score for second-born identical twins.

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Some research suggests that first born children may have higher IQ scores than their later born siblings. Do
first-born identical twins have higher IQ scores than their second-born sibling? Data from a 1998 study by
Tramo, Loftus, Stukel, Weaver, and Gazzaniga were analyzed to determine whether first-born identical
twins have higher IQ scores than their second-born siblings. Ten pairs of adult identical twins were assessed
and their Full Scale IQ scores were calculated.
a. Let uj and uz represent the mean Full Scale IQ score for all first-born identical twins and second-
born identical twins, respectively, and let ua be the mean of the differences in IQ score of all
identical twins (IQ score of first-born twin - IQ score of second-born twin).
Which are the appropriate null and alternative hypotheses?
O (A)
Họ: Ha = 0
Ha: H > 0
O (B)
Họ: Ha = 0
Ha: Ha < 0
O (C)
Họ: Ha > 0
H3: Ha = 0
O (D)
Họ: H1= 42
Ha: H1> H2
O Both (A) and (D) are correct.
b. The following is the (edited) output for the test:
Paired T-Test and CI
Sample
First-born
StDev
23.4
Mean
SE Mean
10
70.6
78.0
-0.43
7.4
Second-born
10
17.4
5.5
Difference
10
11.83
3.74
95% lower bound for mean difference: -7.29
T-Test of mean difference = 0 (vs > 0): T-Value - -0.11
P-Value = 0.544
From the output we learn that:
O The data provide sufficient evidence to reject H, and, thus, conclude that the mean Full Scale
IQ score for first-born identical twins is higher than the mean Full Scale IQ score for second-
born identical twins.
O The data provide sufficient evidence to reject Ho. We therefore conclude the data do not
provide evidence to conclude that the mean Full Scale IQ scores for first-born identical twins is
higher than that of second-born identical twins.
O The data do not provide sufficient evidence to reject Hn. We therefore conclude that the
mean Full Scale IQ score for first-born identical twins is higher than the mean Full Scale IQ
score for second-born identical twins.
O The data do not provide sufficient evidence to reject Ho. In other words, based on the data we
cannot conclude that the mean Full Scale IQ scores for first-born identical twins is higher than
the mean Full Scale IQ score for second-born identical twins.
Transcribed Image Text:Some research suggests that first born children may have higher IQ scores than their later born siblings. Do first-born identical twins have higher IQ scores than their second-born sibling? Data from a 1998 study by Tramo, Loftus, Stukel, Weaver, and Gazzaniga were analyzed to determine whether first-born identical twins have higher IQ scores than their second-born siblings. Ten pairs of adult identical twins were assessed and their Full Scale IQ scores were calculated. a. Let uj and uz represent the mean Full Scale IQ score for all first-born identical twins and second- born identical twins, respectively, and let ua be the mean of the differences in IQ score of all identical twins (IQ score of first-born twin - IQ score of second-born twin). Which are the appropriate null and alternative hypotheses? O (A) Họ: Ha = 0 Ha: H > 0 O (B) Họ: Ha = 0 Ha: Ha < 0 O (C) Họ: Ha > 0 H3: Ha = 0 O (D) Họ: H1= 42 Ha: H1> H2 O Both (A) and (D) are correct. b. The following is the (edited) output for the test: Paired T-Test and CI Sample First-born StDev 23.4 Mean SE Mean 10 70.6 78.0 -0.43 7.4 Second-born 10 17.4 5.5 Difference 10 11.83 3.74 95% lower bound for mean difference: -7.29 T-Test of mean difference = 0 (vs > 0): T-Value - -0.11 P-Value = 0.544 From the output we learn that: O The data provide sufficient evidence to reject H, and, thus, conclude that the mean Full Scale IQ score for first-born identical twins is higher than the mean Full Scale IQ score for second- born identical twins. O The data provide sufficient evidence to reject Ho. We therefore conclude the data do not provide evidence to conclude that the mean Full Scale IQ scores for first-born identical twins is higher than that of second-born identical twins. O The data do not provide sufficient evidence to reject Hn. We therefore conclude that the mean Full Scale IQ score for first-born identical twins is higher than the mean Full Scale IQ score for second-born identical twins. O The data do not provide sufficient evidence to reject Ho. In other words, based on the data we cannot conclude that the mean Full Scale IQ scores for first-born identical twins is higher than the mean Full Scale IQ score for second-born identical twins.
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