Chapter 2, Practice Problems: 8, 11, 12
Chapter 3, Practice Problems: 14, 15, 25
8. In a
study by Gonzaga et al. (2001), romantic couples answered
questions about how much they loved their partner and also
were videotaped
while revealing something about themselves to their partner.
The videotapes
were later rated by trained judges for various signs of
affiliation.Table 2–8 (reproduced from their Table 2) shows some of
the results. Explain to a
person who has never had a course in statistics the results
for self-reported
love for the partner and for the number of seconds “leaning
toward the
partner.”
Table 2–8 Mean Levels of Emotions and Cue Display in Study
1
Women (n
= 60)
Men (n
= 60)
Indicator
M
SD
M
SD
Emotion
reports
Self-reported
love
5.02
2.16
5.11
2.08
Partner-estimated
love
4.85
2.13
4.58
2.20
Affiliation-cue
display
Affirmative
head nods
1.28
2.89
1.21
1.91
Duchenne
smiles
4.45
5.24
5.78
5.59
Leaning
toward partner
32.27
20.36
31.36
21.08
Gesticulation
0.13
0.40
0.25
0.77
Note: Emotions are rated on a scale of 0
(none) to 8 (extreme). Cue displays are shown as mean seconds
displayed per 60 s.
11.For the
following scores, find the (a) mean, (b) median, (c) sum of
squared deviations,
(d) variance, and (e) standard deviation:
2, 2, 0,
5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0
12.
For the following scores,
find the (a) mean, (b) median, (c) sum of squared deviations,
(d) variance,
and (e) standard deviation:
1,112; 1,245; 1,361; 1,372; 1,472
14.
On a standard measure of hearing ability, the mean is 300 and
the
standard deviation is 20. Give the Z scores for persons who
score (a)
340, (b) 310, and (c) 260. Give the raw scores for persons
whose Z
scores on this test are (d) 2.4, (e) 1.5, (f) 0, and (g)
–4.5.
15.
A person scores 81 on a test of verbal ability and 6.4 on a test
of
quantitative ability. For the verbal ability test, the mean
for people in
general is 50 and the standard deviation is 20. For the
quantitative ability
test, the mean for people in general is 0 and the standard
deviation is 5.
Which is this person’s stronger ability: verbal or
quantitative? Explain your
answer to a person who has never had a course in
statistics.
25.
You are conducting a survey
at a college with 800 students, 50 faculty members, and 150
administrators.
Each of these 1,000 individuals has a single listing in the
campus phone
directory. Suppose you were to cut up the directory and pull
out one
listing at random to contact. What is the probability it
would be (a) a
student, (b) a faculty member, (c) an administrator, (d) a
faculty member
or administrator, and (e) anyone except an administrator? (f)
Explain your
answers to someone who has never had a course in
statistics.
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