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EDUC 803: Page 1 of 2

The document provides instructions for a statistical methods examination consisting of 4 questions. Question 1 involves describing hypothesis testing steps, graphically representing age category data, and explaining factors influencing correlation coefficients. Question 2 distinguishes between data/variance and parameter/statistic, determines mode and standard deviation from frequency tables, and calculates and interprets a product moment correlation coefficient. Question 3 tests hypotheses about independence of color preference and gender and difference in means between control and experimental groups. Question 4 highlights features of the t distribution, determines a value from tables, and tests a hypothesis about differences among groups.

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108 views2 pages

EDUC 803: Page 1 of 2

The document provides instructions for a statistical methods examination consisting of 4 questions. Question 1 involves describing hypothesis testing steps, graphically representing age category data, and explaining factors influencing correlation coefficients. Question 2 distinguishes between data/variance and parameter/statistic, determines mode and standard deviation from frequency tables, and calculates and interprets a product moment correlation coefficient. Question 3 tests hypotheses about independence of color preference and gender and difference in means between control and experimental groups. Question 4 highlights features of the t distribution, determines a value from tables, and tests a hypothesis about differences among groups.

Uploaded by

Ishak Ishak
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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EDUC 803

CHUKA UNIVERSITY

UNIVERSITY EXAMINATIONS

FIRST YEAR EXAMINATION FOR THE AWARD OF MASTER


OF EDUCATION

EDUC 803: STATISTICAL METHODS IN EDUCATION

STREAMS: MED TIME: 3 HOURS

DAY/DATE: THURSDAY 05/12/2019 2.30 P.M. – 5.30 P.M.


INSTRUCTIONS:
 Answer question ONE and any other TWO questions
 Do not write on the question paper

1. (a) Citing a relevant example, describe the steps involved in hypothesis testing
[10 marks]
(b) In a study, teachers were asked to indicate their age category. Use data in the table
below to graphically represent the information. [5 marks]
Age 21 – 30 31 – 40 41 – 50 51 – 60 61 – 70
Frequency 25 44 60 37 14

(c) Explain five factors that influence correction coefficient [5 marks]


2. (a) Distinguish between the following terms
(i) Data and variance [2 marks]
(ii) Parameter and statistic [2 marks]
(b)
Class 15 – 19 20 – 24 25 – 29 30 – 34 35 – 39 40 – 44
Frequency 4 16 40 16 8 4

(i) Determine the mode [2 marks]


(ii) Calculate the standard deviation [6 marks]
Page 1 of 2
EDUC 803

(c) Work out the product moment correlation coefficient using data in the table below
and interpret the answer [8 marks]
𝑥 2 3 5 9 7 1 8
𝑦 3 1 7 8 9 2 5

3. (a) Respondents were asked to choose their colour of preference as shown in the
table below. Test the hypothesis that the colour preference is independent of
gender. (∝= 0.05) [10 marks]

Purple Yellow Green Red


Male 22 34 29 55
Female 45 18 25 24

(b) Test the hypothesis at ∝= 0.05 that there is no difference in the means of control
and experimental groups [10 marks]
Control 60 70 40 80 70 30
Experimental 30 50 20 60 40 10

4. (a) Highlight two features of 𝑡 distribution [2 marks]


(b) Determine the value of 𝑦 when 𝑥 is 23 [10 marks]

𝑥 27 33 25 18 28 39 20
𝑦 23 27 36 19 24 30 24

(c) Test the hypothesis that there is no statistically significant difference among the
following groups at ∝= 0.05 [8 marks]

A B C D
6 5 6 5
7 4 5 5
3 3 4 3
8 4 5 7

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