Briefly explain why you should use the ANOVA rather than other tests we studied to determine if the means are significantly different.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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11. Math-54 sections that are classified as Scheduled, Scheduled for Exams, or Flexible,
were sampled to see if the means on a common final were different. A one-way Analysis
of Variance (ANOVA) was performed on the collected data to determine if the null
hypothesis (uscheduled = Hscheduled Exam = Hflexible) should be rejected or not. The samples are
normally distributed.
а.
Briefly explain why you should use the ANOVA rather than other
tests we studied to determine if the means are significantly different.
One-way ANOVA
Source of
One-way ANOVA
F-Statistic p-value
F=3.969134434
p=0.0269762765
Factor
df=2
SS=9775.047619
MS=4887.52381
Error
+ df=39
Sum of
Mean of
Degrees
of
Variation
Squares
Squares
Freedom
Between
9775.048
4887.524
3.96913
0.02698
Groups
Within
48023.989
39
1231.383
Groups
Transcribed Image Text:11. Math-54 sections that are classified as Scheduled, Scheduled for Exams, or Flexible, were sampled to see if the means on a common final were different. A one-way Analysis of Variance (ANOVA) was performed on the collected data to determine if the null hypothesis (uscheduled = Hscheduled Exam = Hflexible) should be rejected or not. The samples are normally distributed. а. Briefly explain why you should use the ANOVA rather than other tests we studied to determine if the means are significantly different. One-way ANOVA Source of One-way ANOVA F-Statistic p-value F=3.969134434 p=0.0269762765 Factor df=2 SS=9775.047619 MS=4887.52381 Error + df=39 Sum of Mean of Degrees of Variation Squares Squares Freedom Between 9775.048 4887.524 3.96913 0.02698 Groups Within 48023.989 39 1231.383 Groups
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