1
Section Problems #3
#1)
Student
IQ score
Selfconcept score
Student 1
110
58
Student 2
124
72
Student 3
126
83
a) What is the standard deviation of IQ scores?
Round your answer to two decimal places
.
b) What is the standard deviation of selfconcept scores?
Round your answer to two decimal
places
.
c) What is the correlation between IQ and selfconcept?
Use the standard deviations that you
rounded to two decimal places in parts
a
and
b
.
Round your final answer to two decimal places
.
2.
Consider the sample data in the following table:
Student
Math Score
Econ Score
Student 1
9
8
Student 2
10
24
Student 3
11
28
What is the
covariance
between Math scores and Econ scores?
3.
Data is collected for ten couples.
X
i
measures the height of the
i
th
woman, and
Y
i
measures the height of the
i
th
woman’s boyfriend.
The correlation between
X
and
Y
is
calculated to be
exactly 1
.
One _____ conclude from this information that all ten of the
women in the sample have boyfriends who are taller than themselves.
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 Fall '08
 ABDUS,S.
 Normal Distribution, Standard Deviation, Yi, normal quantile plot, ith woman

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