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Aged 710: Statistical Methods In Education Question Paper
Aged 710: Statistical Methods In Education
Course:Master Of Science In Community Development
Institution: Chuka University question papers
Exam Year:2012
CHUKA UNIVERSITY
COLLEGE
UNIVERSITY EXAMINATIONS
EXAMINATION FOR THE AWARD OF DEGREE OF
MASTER OF SCIENCE (COMMUNITY DEVELOPMENT)
AGED 710: STATISTICAL METHODS IN EDUCATION
STREAMS: M.Sc. (CDEV) L1B111 TIME: 3 HOURS
DAY/DATE: TUESDAY 11/12/2012 8.30 A.M – 11.30 A.M.
INSTRUCTIONS:
Answer Question ONE and any other TWO Questions.
(a) Distinguish between:
Statistic and statistics
Descriptive statistics and Inferential statistics
Sample and population
Discrete and continuous variable [8 marks]
(b) State and explain four measurement scales used in research. [8 marks]
(c) Using the following data:
26, 13, 11, 30, 23, 27, 15, 30, 32, 19, 33, 16, 30
Determine:
Median
Mode
Range [6 marks]
(d) Using the following data, determine:
Mean [3 marks]
Variance [3 marks]
Standard deviation [2 marks]
Class Interval Frequency
10-14 2
15-19 4
20-24 8
25-29 7
30-34 5
35-39 3
40-44 1
(a) Using a normal curve table; evaluate:
Area between the scores X = 60 and X = 90 given that the mean ( ) = 70 and standard deviation is 5. [3 marks]
Area between scores X = 36 and X = 45 given that the ( ) is 28 and standard deviation is 4. [3 marks]
(b) The results presented in the table below was obtained from a computer analysis of data collected to test an hypothesis stated as follows:
“There is no significant difference in students’ means on
achievement based on school category”.
ANOVA Table
Source ss df ms
Treatment 86.25 2 43.125
Error 5.75 10 0.575
Total 92.00 12
Using the results in the table, determine whether the means obtained from the students were significantly different based on the school type at ?=0.05 significance level. [7 marks]
(c) Explain the implication of the results obtained in (b) above as relates to the
hypothesis. [2 marks]
The following two sets of scores were obtained from the same group of students after exposure to test A and test B:
Test A Test B
(X) (Y)
10 09
16 14
12 10
09 08
17 13
11 12
From the data:
Calculate the Pearson-product moment correlation coefficient
(Y_xy=(?¦ZxZy)/N) [6 marks]
Compute the Spearman rank order correlation
(r_rank=1- (6?¦D^2)/(n(n^2-1))) [6 marks]
Comment on the magnitude of the correlation coefficient obtained in (a) and (b) above. [3 marks]
A researcher intended to test the following null hypothesis:
Ho: There is no significant relationship between students’ gender and their attitude towards mathematics.
To test this hypothesis, data was collected from 200 students. The data is presented in the Table below:
Mathematics as a subject is boring
Gender Agree Undecided Disagree Total
Male 40 8 72 120
Female 20 12 48 80
Total 60 20 120 200
Using Chi-Square test, test the hypothesis at ?=0.05 significance level
(x^2=?¦?((0-E))/E?^2 ). [15 marks]
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