Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has implications for the issue of using cell phones while driving, as well as for many other areas. You decide to explore this issue by having three different groups try detecting visual shapes on a monitor. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation. The sample mean and sum of squares of the scores for each of the three groups are presented in the following table. Group Preparing to speak Speaking Listening After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table. Source of Variation Between Treatments Within Treatments Total Sample Mean Sum of Squares 23,655.2400 21,099.8900 27,155.2500 OMSbetweeMStotal OSSbetwee $Swithin 96.8 101.5 106.4 MSbetweeMSwithin OSSbetwee$Stotal df ANOVA Table SS 6,913.01 2 71,910.38 447 78,823.39 449 These findings are significant at a = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by What is the formula for this measure of the effect size? MS 3,456.51 160.87 Based on the data given, the effect size is places) F 21.49 . (Round your answer to two decimal The percentage of variability in the scores accounted for by the effect due to treatments is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of
experiments on conversation and attention level. He found that subjects were four times more
distracted while preparing to speak or speaking than when they were listening. This research has
implications for the issue of using cell phones while driving, as well as for many other areas.
You decide to explore this issue by having three different groups try detecting visual shapes on a
monitor. The first group is preparing to speak, the second group is speaking, and the third group is
listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in
the following table.
Group
Preparing to speak
Speaking
Listening
Sample Mean Sum of Squares
23,655.2400
21,099.8900
27,155.2500
After collecting the data, you analyze the data using an ANOVA. The results of your analysis are
presented in the following ANOVA table.
Source of Variation
Between Treatments
Within Treatments
Total
96.8
101.5
106.4
MSbetwee MStotal
OSSbetweeSSwithin
OMSbetweeMSwithin
OSSbetwee$Stotal
ANOVA Table
SS
df
6,913.01 2
71,910.38 447
78,823.39 449
MS
3,456.51
160.87
These findings are significant at a = 0.05, which tells you that the difference is very unlikely to
have occurred just by chance, but it does not tell you the size of the effect. A simple measure of
the effect size is given by
What is the formula for this measure of the effect size?
Based on the data given, the effect size is
places)
F
21.49
(Round your answer to two decimal
The percentage of variability in the scores accounted for by the effect due to treatments
is
Transcribed Image Text:Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has implications for the issue of using cell phones while driving, as well as for many other areas. You decide to explore this issue by having three different groups try detecting visual shapes on a monitor. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation. The sample mean and sum of squares of the scores for each of the three groups are presented in the following table. Group Preparing to speak Speaking Listening Sample Mean Sum of Squares 23,655.2400 21,099.8900 27,155.2500 After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table. Source of Variation Between Treatments Within Treatments Total 96.8 101.5 106.4 MSbetwee MStotal OSSbetweeSSwithin OMSbetweeMSwithin OSSbetwee$Stotal ANOVA Table SS df 6,913.01 2 71,910.38 447 78,823.39 449 MS 3,456.51 160.87 These findings are significant at a = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by What is the formula for this measure of the effect size? Based on the data given, the effect size is places) F 21.49 (Round your answer to two decimal The percentage of variability in the scores accounted for by the effect due to treatments is
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