Question

A study investigated the effects of physical fatigue on the performance of professional tennis players. Researchers measured the number of unforced errors committed by a random sample of 12 professional tennis players during the first three sets of a match. They hypothesized that increased fatigue would be associated with a greater number of errors. The following is an F-table for this hypothetical study using the one-way within-subjects ANOVA. Source of Variation SS df MS Fobt Between groups 15 Between persons 3 Within groups (error) 44 Total (a) Complete the F-table. Source of Variation SS df MS Fobt Between groups 15 Between persons 3 Within groups (error) 44 Total Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis. (b) Estimate effect size using partial omega-squared: ωP2. (Round your answer to two decimal places.) ωP2 =

Answer #1

(a)

Since p-value corresponding to Between groups<0.05 so we conclude that increased fatigue would be associated with a greater number of errors.

(b)

A study investigated the effects of physical fatigue on the
performance of professional tennis players. Researchers measured
the number of unforced errors committed by a random sample of 12
professional tennis players during the first three sets of a match.
They hypothesized that increased fatigue would be associated with a
greater number of errors. The following is an F-table for
this hypothetical study using the one-way within-subjects
ANOVA.
Source of Variation
SS
df
MS
Fobt
Between
groups
15
Between
persons...

A study investigated the effects of physical fatigue on the
performance of professional tennis players. Researchers measured
the number of unforced errors committed by a random sample of 12
professional tennis players during the first three sets of a match.
They hypothesized that increased fatigue would be associated with a
greater number of errors. The following is an F-table for this
hypothetical study using the one-way within-subjects ANOVA. Source
of Variation SS df MS Fobt Between groups 11 Between persons...

A study investigated the effects of physical fatigue on the
performance of professional tennis players. Researchers measured
the number of unforced errors committed by a random sample of 12
professional tennis players during the first three sets of a match.
They hypothesized that increased fatigue would be associated with a
greater number of errors. The following is an F-table for
this hypothetical study using the one-way within-subjects
ANOVA.
Source of variation- SS ,df, MS F
Between
groups
15
Between
persons ...

A study investigated the effects of physical fatigue on the
performance of professional tennis players. Researchers measured
the number of unforced errors committed by a random sample of 12
professional tennis players during the first three sets of a match.
They hypothesized that increased fatigue would be associated with a
greater number of errors. The following is an F-table for this
hypothetical study using the one-way within-subjects ANOVA. Source
of Variation SS df MS Fobt Between groups 10 Between persons...

The following is an incomplete F-table summarizing the
results of a study of the variance of life satisfaction scores
among unemployed, retired, part-time, and full-time employees.
Source of Variation
SS
df
MS
F
Between
groups
17
Within
groups (error)
36
Total
131
(a) Complete the F-table. (Round your values for mean
squares and F to two decimal places.)
Source of Variation
SS
df
MS
F
Between
groups
17
Within
groups (error)
36
Total
131
(b) Compute omega-squared
(ω2).
(Round your...

The following is an incomplete F-table summarizing the
results of a study of the variance of life satisfaction scores
among unemployed, retired, part-time, and full-time employees.
Source of Variation
SS
df
MS
F
Between
groups
20
Within
groups (error)
36
Total
148
(a) Complete the F-table. (Round your values for mean
squares and F to two decimal places.)
Source of Variation
SS
df
MS
F
Between
groups
20
Within
groups (error)
36
Total
148
(b) Compute omega-squared
(ω2).
(Round your...

A psychologist noted that people have more difficulty sleeping
in a bright room than in a dark room. She measured whether the
intensity of the light could predict the time it took a sample of 4
participants to fall asleep. The data for this hypothetical study
are listed in the following table.
Intensity
of
Light (in watts)
Time It
Took to
Sleep (in minutes)
X
Y
5
9
10
19
20
29
40
35
Compute an analysis of regression for...

Researchers in mental health fields are often interested in
evaluating the effectiveness of using food images to enhance
positive mood. Adapting a typical design from such studies, suppose
we have participants rate their mood change on a standard
self-report affect scale after viewing images of "comfort" foods,
fruits/vegetables (F/V), and random non-food images (used as a
control group). The results are given in the table at right for
this hypothetical study.
Images
Control
F/V
Comfort
Foods
0
0
4
1...

In an effort to promote a new product, a marketing firm asks
participants to rate the effectiveness of ads that varied by length
(short, long) and by type of technology (static, dynamic,
interactive). Higher ratings indicated greater effectiveness.
Source of Variation
SS
df
MS
F
Length
5
Technology
Length ×
Technology
150
Error
570
114
Total
855
(a) Complete the F-table and make a decision to retain
or reject the null hypothesis for each hypothesis test. (Assume
experimentwise alpha equal...

Based on the information in the source table below and given an
alpha level of 0.05, what would you conclude?
Source
SS
df
MS
F
Between-groups
100
2
50
42.02
Within-groups
50
42
1.19
Total
150
44
Reject the null hypothesis. The calculated F is larger than the
critical value.
Fail to reject the null hypothesis. The calculated F is smaller
than the critical value.
Fail to reject the null hypothesis. The calculated F is larger
than the critical value....

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