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.
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.
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 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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