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Epsc 123 Statistical Methods In Education Question Paper
Epsc 123 Statistical Methods In Education
Course:Statistical Methods In Education
Institution: Chuka University question papers
Exam Year:2013
Chuka University Bachelor Of Education
(Science), Bachelor Of Education (Arts) Epsc
123: Statistical Methods In Education Question
Paper
Exam Name: Epsc 123: Statistical Methods In
Education
Course: Bachelor Of Education (Science),
Bachelor Of Education (Arts)
Institution/Board: Chuka University
Exam Year:2013
CHUKA
UNIVERSITY
UNIVERSITY EXAMINATIONS
FIRST YEAR EXAMINATION FOR THE AWARD OF
DEGREE OF
BACHELOR OF EDUCATION (SCIENCE),
BACHELOR OF EDUCATION (ARTS)
EPSC 123: STATISTICAL METHODS IN
EDUCATION
STREAMS: B.ED (SC), B.ED (ARTS) Y1S2 TIME:
2 HOURS
DAY/DATE: MONDAY 12/8/2013 8.30 A.M. –
10.30 A.M.
INSTRUCTIONS:
Answer Question ONE and any other TWO
Questions.
All the working must be shown clearly.
QUESTION ONE: 30 MARKS
(a) Explain the meaning of the following terms
as used in Educational statistics:
Variable
Hypothesis
Confidence interval
Null hypotheses
Standard normal distribution [10 marks]
(b) The test scores from a math class are listed
as shown:
65, 82, 87, 94, 96, 91, 75 69, 67, 98, 85, 100, 89,
77, 46, 76,
70, 54, 92, 70, 85, 88, 74, 82, 90, 87, 78, 89, 70,
79, 83, 83,
94, 88, 93, 59, 80, 84, 72.
Construct a frequency distribution table using
class size of 10 and 6 classes.
[5 marks]
Indicate the relative frequency in the table and
also the cumulative frequency.
[4 marks]
Compute the median and mean for the test
scores. [5 marks]
(c) Two coins are tossed, Find the probability
that two heads are obtained.
[4 marks]
(d) Giving examples explain the term “measures
of relative standing”. [2 marks]
SECTION B: (40 MARKS)
(a) Suppose a population has a mean µ=275 and
standard deviation
= 22.3. Compute the standard scores
corresponding to X = 250,275.
[4 marks]
(b) The heights of a group of students randomly
selected from a given school
are as follows:
5.5, 3.5, 4,6, 6.1, 5.7, 5.11, 4.9, 5.0, 5.5
Find the absolute deviation from the mean.
Find the absolute deviation from the median. [4
marks]
(c) The following scores were obtained from 11
students tested on two tests.
Test A (X) Test B (Y)
7 9
8 8
6 7
5 6
4 6
6 5
3 5
5 4
4 4
2 3
2 2
Plot the Scatter diagram for the data. [3 marks]
Compute the Pearson Product-moment
Correlation Coefficient, rxy between test A and
test B. [5 marks]
Compute the coefficient of determination. [2
marks]
Interpret the computed value of rxy [2 marks]
(a) The data below shows the scores of a CAT
of students in EPSC 123.
Class (scores 1 – 3 4 – 6 7 – 9 10 – 12 13 – 15
16 – 18 19 – 21
Frequency 1 9 25 35 17 10 3
Calculate:
Range of the scores [2 marks]
Mean score [4 marks]
Mean Absolute deviation [5 marks]
Variance and Standard Deviation [7 marks]
Interpret the Standard Deviation [2 marks]
(a) A random sample of 1,562 undergraduates
enrolled in marketing courses was
asked to respond on a scale from one (strongly
disagree) to seven (strongly agree) to the
proportion: “Advertising helps raise our standards
of living”. The sample mean response was 4.27
and the sample standard deviation was 1.32.
Test the following hypothesis: (Let a=0.05)
H_o:µ=4
H_A :µ?4 [6 marks]
(b) A survey of top executives revealed that 35%
of them read Time magazines, 20% read News
Week and 40% read the East African. 10% read
both Time and East African magazine.
What is the probability that a particular top
executive reads either Time or East African
magazine regularly? [5 marks]
Are the events mutually exclusive? Explain. [3
marks]
What is the probability 0.10 called? [2 marks]
Compute the standard deviation of the following:
10, 12, 14, 16, 18, 20 [4 marks]
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