7. A professor in Basic Statistics had been teaching the subject for several years now. He tried to compare the grades of his students in the last four semesters (SY 2012-2013 and SY 2013- 2014) to know what semester the students got better grades. A random sample of 8 students per section were taken randomly. Result follow: 田 1st Sem., SY 2012-2013 2nd Sem., SY 2012-2013 1st Sem., SY 2013-2014 2nd Sem., SY 2013-2014 1.2 1.3 1.8 1.2 1.1 1.3 1.2 1.4 1.4 1.0 1.1 1.1 1.1 1.2 1.1 1.0 1.8 1.9 1.2 1.7 1.7 1.6 1.9 1.9 1.1 1.9 1.0 1.1 1.1 1.0 1.0 1.0 a. Test at 5% level of significance if there is a difference in the grades of the students coming from the four different semesters. b. Is the result in (a) significant? If yes, conduct a post-hoc analysis. c. Convert the data above into ranks. Test at 5% level of significance if there is a difference in the grades of the students coming from the four different semesters. d. Is the result in (c) significant? If yes, conduct a post-hoc analysis. e. Assume that the data are in an array disregarding the semester, use Wilcoxon Signed Rank Test at 5% level of significance.

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Author:Amos Gilat
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7. A professor in Basic Statistics had been teaching the subject for several years now. He tried to
compare the grades of his students in the last four semesters (SY 2012-2013 and SY 2013-
2014) to know what semester the students got better grades. A random sample of 8 students
per section were taken randomly. Result follow:
1.4
1st Sem., SY 2012-2013
2nd Sem., SY 2012-2013
1st Sem., SY 2013-2014
2nd Sem., SY 2013-2014
1.3
1.2
1.2
1.3
1.8
1.4
1.1
1.0
1.1
1.1
1.1
1.2
1.2
1.1
1.0
1.7
1.1
1.7
1.1
1.9
1.6
1.8
1.9
1.9
1.9
1.2
1.0
1.0
1.0
1.1
1.0
a. Test at 5% level of significance if there is a difference in the grades of the students coming
from the four different semesters.
b. Is the result in (a) significant? If yes, conduct a post-hoc analysis.
c. Convert the data above into ranks. Test at 5% level of significance if there is a difference in
the grades of the students coming from the four different semesters.
d. Is the result in (c) significant? If yes, conduct a post-hoc analysis.
e. Assume that the data are in an array disregarding the semester, use Wilcoxon Signed
Rank Test at 5% level of significance.
Transcribed Image Text:7. A professor in Basic Statistics had been teaching the subject for several years now. He tried to compare the grades of his students in the last four semesters (SY 2012-2013 and SY 2013- 2014) to know what semester the students got better grades. A random sample of 8 students per section were taken randomly. Result follow: 1.4 1st Sem., SY 2012-2013 2nd Sem., SY 2012-2013 1st Sem., SY 2013-2014 2nd Sem., SY 2013-2014 1.3 1.2 1.2 1.3 1.8 1.4 1.1 1.0 1.1 1.1 1.1 1.2 1.2 1.1 1.0 1.7 1.1 1.7 1.1 1.9 1.6 1.8 1.9 1.9 1.9 1.2 1.0 1.0 1.0 1.1 1.0 a. Test at 5% level of significance if there is a difference in the grades of the students coming from the four different semesters. b. Is the result in (a) significant? If yes, conduct a post-hoc analysis. c. Convert the data above into ranks. Test at 5% level of significance if there is a difference in the grades of the students coming from the four different semesters. d. Is the result in (c) significant? If yes, conduct a post-hoc analysis. e. Assume that the data are in an array disregarding the semester, use Wilcoxon Signed Rank Test at 5% level of significance.
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