Question
In: Statistics and Probability
There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we...
There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that older siblings have a higher IQ than younger siblings. The results are depicted for a sample of 10 brothers in the table below.
| IQ score | mean | ?s | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Older brother (?x) | 106 | 117 | 107 | 106 | 99 | 101 | 79 | 92 | 107 | 86 | 100 | 11.3627070327062 |
| Younger brother (?y) | 109 | 115 | 104 | 95 | 89 | 92 | 80 | 92 | 97 | 87 | 96 | 10.6144555520604 |
| ?=?−?d=x−y | -3 | 2 | 3 | 11 | 10 | 9 | -1 | 0 | 10 | -1 | 4 | 5.43650214343336 |
(a) Find the test statistic.
(b) Test the claim at the 0.01 significance level.
Critical value:
Is there sufficient data to support the claim?
Yes
No
(c) Test the claim at the 0.05 significance level.
Critical value:
Is there sufficient data to support the claim?
Yes
No
Solutions
orchestra answered 2 years agoRelated Solutions
There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we...
There have been numerous studies involving the correlation and
differences in IQ's among siblings. Here we consider a small
example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.05 significance level. You may
assume the sample of differences comes from a normally distributed
population.
Pair
ID
Older...
Sibling IQ Scores: There have been numerous studies involving the correlation and differences in IQ's among...
Sibling IQ Scores: There have been numerous
studies involving the correlation and differences in IQ's among
siblings. Here we consider a small example of such a study. We will
test the claim that, on average, older siblings have a higher IQ
than their younger sibling. The results are depicted for a sample
of 10 siblings in the table below. Test the claim at the
0.01significance level. You may assume the sample of differences
comes from a normally distributed population.
Pair...
Sibling IQ Scores: There have been numerous studies involving the correlation and differences in IQ's among...
Sibling IQ Scores: There have been numerous
studies involving the correlation and differences in IQ's among
siblings. Here we consider a small example of such a study. We will
test the claim that, on average, older siblings have a higher IQ
than their younger sibling. The results are depicted for a sample
of 10 siblings in the table below. Test the claim at the 0.01
significance level. You may assume the sample of differences comes
from a normally distributed population....
Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and...
Sibling IQ Scores (Raw Data, Software
Required):
There have been numerous studies involving the correlation and
differences in IQ's among siblings. Here we consider a small
example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.05significance level. You may assume
the sample of differences comes from a...
Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and...
Sibling IQ Scores (Raw Data, Software
Required):
There have been numerous studies involving the correlation and
differences in IQ's among siblings. Here we consider a small
example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.01 significance level. You may
assume the sample of differences comes from...
Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and...
Sibling IQ Scores (Raw Data, Software
Required):
There have been numerous studies involving the correlation and
differences in IQ's among siblings. Here we consider a small
example of such a study. We will test the claim that, on average,
older siblings have a higher IQ than their younger sibling. The
results are depicted for a sample of 10 siblings in the table
below. Test the claim at the 0.05 significance level. You may
assume the sample of differences comes from...
Explain what accounts for phenotypic differences among siblings following meiosis
Explain what accounts for phenotypic differences among siblings
following meiosis
Numerous studies have shown that IQ scores have been increasing, generation by generation, for years (Flynn,...
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Background
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