WEEK 7 – EXERCISES
Enter your answers in the spaces provided. Save the
file using your last name as the beginning of the file name (e.g.,
ruf_week6_exercises) and submit via “Assignments.” When appropriate, show
your work. You can do the work by hand, scan/take a digital picture, and
attach that file with your work.
1.
A sports researcher gave a standard written test
of eating habits to 12 randomly selected professionals, four each from
baseball, football, and basketball. The results were as follows:
|
Eating Habits Scores |
||
|
Baseball Players |
Football Players |
Basketball Players |
|
34 |
27 |
35 |
|
18 |
28 |
44 |
|
21 |
67 |
47 |
|
65 |
42 |
61 |
Is there a
difference in eating habits among professionals in the three sports? (Use the
.05 significance level.)
a. Use the five steps
of hypothesis testing.
b. Sketch the
distribution involved.
c. Determine effect
size.
2. To study the effectiveness of
treatments for insomnia, a sleep researcher conducted a study with 12
participants.Four participants were instructed to
count sheep (Sheep Condition), four were told to concentrate on their breathing
(Breathing Condition), and four were not given any special instructions. Over
the next few days, measures were taken of how many minutes it took each
participant to fall asleep. The average times for the participants in the Sheep
Condition were 14, 28, 27, and 31; for those in the Breathing Condition, 25,
22, 17, and 14; and for those in the control condition, 45, 33, 30, and 41.
Do these results suggest that the different techniques have different effects?
(Use the .05 significance level.)
a. Use the five steps
of hypothesis testing.
b. Sketch the
distribution involved.
c. Figure the effect
size of the study.
d. Explain your
findings (including the logic of comparing within-group to between-group
population variance estimates, how each of these is figured, and the Fdistribution).
3.
High school juniors planning to attend college
were randomly assigned to view one of four videos about a particular college,
each differing according to what aspect of college life was emphasized:
athletics, social life, scholarship, or artistic/cultural opportunities. After
viewing the videos, the students took a test measuring their desire to attend
this college. The results were as follows:
|
Desire to Attend this College |
|||
|
Athletics |
Social Life |
Scholarship |
Art/Cultural |
|
68 |
89 |
74 |
76 |
|
56 |
78 |
82 |
71 |
|
69 |
81 |
79 |
69 |
|
70 |
77 |
80 |
65 |
Do these results
suggest that the type of activity emphasized in a college film affects desire
to attend that college? (Use the .01 significance level.)
a. Use the five steps
of hypothesis testing.
b. Sketch the
distribution involved.
c. Figure the effect
size of the study.
d. Explain the logic
of what you have done to a person who is unfamiliar with the analysis of
variance.
4.
A team of psychologists designed a study in
which 12 psychiatric patients diagnosed as having generalized anxiety disorder
were randomly assigned to one of three new types of therapy, here labeled X, Y,
and Z. One year after therapy, the patients’ overall mental health scores were
as follows:
|
Mental Health Assessment |
||
|
Therapy X |
Therapy Y |
Therapy Z |
|
85 |
78 |
79 |
|
79 |
81 |
83 |
|
84 |
68 |
75 |
|
67 |
75 |
74 |
Do these results
suggest that the different therapies have different effects on mental health?
(Use the .05 level.)
a. Use the five steps
of hypothesis testing.
b. Sketch the
distribution involved.
c. Explain your
results.
The deadline for this assignment is 11:59 PM
EST on Sunday of Week 6
