Some researchers believe that education influences IQ. One researcher specifically believes that the more education a person has, the higher, on average, will be his or her IQ. The researcher sets out to investigate this belief by obtaining eight pairs of identical twins reared apart. He identifies the better educated twin as Twin A and the other twin as Twin B for each pair. The data for the study are given in the table below. Does the data give good statistical evidence, at the 0.05 level of significance, that the twin with more education is likely to have the higher IQ? Use the Wilcoxon Signed Ranks Non-Parametric test and a separate Parametric test to provide good statistical evidence to support your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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3. Some researchers believe that education influences IQ. One researcher specifically believes that the more
education a person has, the higher, on average, will be his or her IQ. The researcher sets out to investigate
this belief by obtaining eight pairs of identical twins reared apart. He identifies the better educated twin as
Twin A and the other twin as Twin B for each pair. The data for the study are given in the table below. Does
the data give good statistical evidence, at the 0.05 level of significance, that the twin with more education
is likely to have the higher IQ? Use the Wilcoxon Signed Ranks Non-Parametric test and a separate
Parametric test to provide good statistical evidence to support your answer.
Pair
Twin A
1
3
4
97
8
103
110
90
92
107
115
102
Twin B
97
103
91
93
92
105
111
103
Transcribed Image Text:3. Some researchers believe that education influences IQ. One researcher specifically believes that the more education a person has, the higher, on average, will be his or her IQ. The researcher sets out to investigate this belief by obtaining eight pairs of identical twins reared apart. He identifies the better educated twin as Twin A and the other twin as Twin B for each pair. The data for the study are given in the table below. Does the data give good statistical evidence, at the 0.05 level of significance, that the twin with more education is likely to have the higher IQ? Use the Wilcoxon Signed Ranks Non-Parametric test and a separate Parametric test to provide good statistical evidence to support your answer. Pair Twin A 1 3 4 97 8 103 110 90 92 107 115 102 Twin B 97 103 91 93 92 105 111 103
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