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Statistical Analysis In Human Performance Question Paper
Statistical Analysis In Human Performance
Course:Master Of Science
Institution: Kenyatta University question papers
Exam Year:2009
KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2009/2010
FIRST SEMESTER EXAMINATION FOR THE DEGREE OF MASTER OF SCIENCE
HSS 500: STATISTICAL ANALYSIS IN HUMAN PERFORMANCE
DATE: MONDAY, 30TH NOVEMBER 2009 TIME: 9.00 A.M. 12.00 P.M.
INSTRUCTIONS: Answer any three questions. Each question should be answered in a
separate
booklet
1. a) Analyze
any:-
i)
three methods of data organization(3marks)
ii)
four methods of displaying data(4marks)
iii)
the checklist for the construction of diagrams(5 marks)
b)
One hundred candidates in a Table Tennis examination obtained
marks as shown below:-
Marks 0 1 2 3 4 5 6 7 8 9 10
Number of candidates 1 5 6 8 10 18 20 17 8 5 2
Illustrate this information on a frequency polygon. Calculate the median mark,
and the semi-interquartile range. If students with at least 4 marks passed, what
percentage failed?(12marks)
2.
a)
Six elderly women who were hypertensive volunteered to take part in a study
which was designed to determine whether Yoga exercise is effective in
alleviating hypertension. The researcher rated their hypertensiveness on a four-
point scale immediately before receiving treatment (pre-test), immediately after
treatment has ended (post-test) and three months later (follow-up).
The results for the three occasions are shown below:
Pre-test Post-test Follow-up
4 3 2
4 3 3
3 2 2
3 2 1
4 2 2
3 2 2
Calculate the Friedman test at K01 two-tailed level to determine whether
pre-test, post-test and follow-up hypertension differ for the group. (10 marks)
b)
Define:- Data, parameter, population, random sample, sample, statistic,
statistical inference.
(2 marks each ? 2 x 7 = 14 marks)
3.
A physical educator believed that the ability to serve well was related to the success or
failure for beginning tennis students. To test this belief the physical educator conducted
a ladder tournament with beginning players to determine the students abilities to win
games against their peers. When the tournament was over, the lecturer ranked the
students according to the order they finished in the tournament. Next, the lecturer
administered a serving test that ranked the students from best to worst on serving skills.
The results of the two sets of rank order scores are shown below.
Subject 1 2 3 4 5 6 7 8 9 10 11 12 13
Place on ladder 8 16 7 24 2 15 1 23 6 22 17 5 9
Rank on reserve 10 17 4 25 5 9 3 24 6 20 13 7 18
Subject14 15 16 17 18 19 20 21 22 23 24 25
Place on ladder 14 25 3 18 13 10 19 4 21 12 20 11
Rank on serve19 21 1 15 17 16 11 2 23 8 22 14
Calculate Spearman’s rho and explain whether tennis serving ability and the ability to
win tournament games are related.(24marks)
4.
One characteristic often noted about those in the physical education profession is their
sense of humour. Makato (1992) hypothesized that having a good sense of humour may
be related to good physical health. Suppose that you test this hypothesis by measuring
16 subjects on their sense of humour and their physical health problems. You obtain the
following scores on these two measures.
Subject
Humour (X)
Physical health problems (Y)
a)
Calculate the Pearson correlation coefficient.(18 marks)
b)
Is the sense of humour score related to that of physical health problems?
Use ? =0.5significance level. (2marks)
c)Compute coefficient of determination. (4marks)
5.
Suppose the following are the observed frequencies of African women and men taking
the gold medals in World Athletics Championships in three consecutive years.
Year 1996 1997 1998
Women 19 27 24
Men 11 18 13
Compute the Chi-Square statistic to determine whether the number of women and men
winning the gold medals in three consecutive years differs. Test your Xobs at the 0.05
two-tailed
level. (24marks)
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