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Transcribed Image Text: Chapter 14 Homework Assignment
1. For the following data:
Y
9
5
a. Calculate SP using the computational formula.
b. Sketch a scatter plot and estimate the Pearson correlation.
c. Compute the Pearson correlation.
Chapter 15 Homework Assignment*
1. "The student population at the state college consists of 80% of students identifying as
female and 20% of students identifying as male.
a. Complete problem 2a in chapter 15 Problems (page 506 in 9th edition**).
b. Complete problem 2b in chapter 15 Problems (page 506 in 9th edition**).
2. A high school English teacher would like to determine if student's grades are improving over
time at her school. She knows that the overall grade distribution for the English department
at her school in 1990 had 16 % As, 30% Bs, 25 % Cs, 15% Ds, and 14% Fs. A sample of n-300
English students from the previous semester produced the following grade distribution
A
64
B
72
C
66
D
E
53 45
Do the data indicate a significant change in the grade distribution? Test at the .05 level of
significance.
3. An ice cream company has created three winter flavors of ice cream (snow globe, polar bear
tracks, and fireside) but they can only debut one this winter season. To choose the flavor,
the company decides to see if there is a significant preference for one. They get a focus
group of 120 people to try the three flavors and select the one they prefer. The distribution
of preference is as follows:
Snow
Globe
Polar Bear Fede
Tracks
Fireside
36
16
60 24
a. Do the results indicate any significant preferences among the three flavors? Test at the
05 level of significance.
b. Compute Cohen's w to measure the size of the effect. (Remember to write the size of
the effect next to the
value.)
4. Complete problem 18 in chapter 15 Problems (see page 509 in 9 edition**) but use the
following frequency distribution of personalities for participants and the avatars they
created. Remember to respond to parts a and b.
Introverted
20
23
Extroverted
36
Introverted Avatar
Extroverted Avatar
56
44
21
43
57
"Adapted from Chapter 15 Problems from Essentials of Statistics for the Behavioral Sciences (ed.) by
Gravetter, Wallnau, and Forzano
5. Complete problem 20 in chapter 15 Problems (see page 509 in 9 edition**) but use the
following distribution of student willingness to use mental health services using a binary
2. For a two-tailed test with a
05, use Table 8.6 to determine how large a Pearson
correlation is necessary to be statistically significant for each of the following samples.
a. A sample of n-3
b. A sample of n=9
c. A sample of n-12
3. Sketch a graph showing the line for the equation Y=3X+5. On the same graph, show the
line for YX+8
4. A set of n 12 pairs of scores (X and Y values) produces a regression equation of Y-3X-4.
Find the predicted Yvalue for each of the following X scores: -1, 0, 2, 3, 5.
5. For the following data:
a. Find the regression equation for predicting from X.
b. Calculate the Pearson correlation for these data. User and SS, to compute
Sresidual and the standard error of estimate for the equation.
Gravetter, WallProblems from Essentials of Statistics for the Behavioral Sciences by
*Adapted from Chapter (9
and Forzano
18. A recent study indicates that people tend to select vid-
eo game avatars with characteristics similar to those
of their creators (Bélisle & Onur, 2010). Participants
who had created avatars for a virtual community game
completed a questionnaire about their personalities.
An independent group of viewers examined the ava-
tars and recorded their impressions of the avatars. One
personality characteristic considered was introverted/
extroverted. The following table shows frequency
distribution of personalities for participants and the
avatars they created.
Participant Personality
Introverted
Introverted
22
45
Avatar
16
39
55
Extroverted
Avatar
38
62
a. Is there a significant relationship between the per-
sonalities of the participants and the personalities
of their avatars? Test with a = .05.
b. Compute the phi-coefficient to measure the size of
the effect.
"Adapted from Chapter 15 Problems from Essentials of Statistics for the Behavioral Sciences (9 ed.) by
Gravetter, Wallnau, and Forzano.
5. Complete problem 20 in chapter 15 Problems (see page 509 in 9th edition**) but use the
following distribution of student willingness to use mental health services using a binary
gender variable. Remember to respond to parts a and b
Maybe
Probably Yes
Probably No
10
35
90
Students
Identifying as
Female
Students
Identifying a
Male
14
18
28
60
24
53
73
N=150
**Page numbers may differ depending on edition/type of textbook
"Adapted from Chapter 15 Problems from Essentials of Statistics for the Behavioral Sciences (9 ed.) by
Gravetter, Wallnau, and forzano
50
100
50
20. Research has demonstrated strong gender differences
in teenagers' approaches to dealing with mental health
issues (Chandra & Minkovitz, 2006). In a typical
study, eighth-grade students are asked to report their
willingness to use mental health services in the event
they were experiencing emotional or other mental
health problems. Typical data for a sample of n = 150
students are shown in the following table.
Willingness to Use Mental Health
Services
Probably
Probably
No
Maybe
Yes
Males
17
32
11
60
Females
13
43
34
90
30
75
45
n = 150
a. Do the data show a significant relationship between
gender and willingness to seek mental health as-
sistance? Test with a = .05.
b. Compute Cramér's V to measure the size of the
treatment effect.
Extroverted
23
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