Midterm Examination
Advanced Educational Statistics
1.
A researcher studying Manila ethnic groups wants
to determine if there is difference in income for immigrants from four
different ethnic races during their first year in the city. The data from a random sample of immigrants
are presented in the table below. Use 5
percent level of significance.
Table 1
Income of immigrants (in thousands of
pesos)
Bicolanos Ilokanos Muslims Visayans
93.7 98.3 110.3 107.2
99.2 107.2 106.3 98.8
100.9 99.1 112.7 104.7
98.9 100.3 115.2 111.3
106.4 109.9 109.8
2.
A new teaching method is being considered if it
is found to be effective in improving the reading ability of grade one
pupils. Two groups of randomly selected
pupils were given a reading test. After
the test, one of the groups (designated as experimental group) underwent eight
weeks of special training while the other (designated as control group) did
not. Assume that only one teacher
handled the two groups to eliminate extraneous variables concerning teacher factor. At the end of the 8-week period, both groups
are given the reading test again. The
data are presented below.
Table 5
Pupil Experimental
Group Control
Group
Pretest Posttest Pretest Posttest
1 26 38 47 48
2 36 42 35 37
3 49 50 37 47
4 27 36 34 38
5 32 34 28 31
6 26 30 29 30
7 36 41 31 38
8 29 49 33 48
9 26 41 44 46
10 47 49 31 37
11 17 20 15 30
12 19 34 16 31
13 21 34 17 20
14 20 32 28 30
15 17 34 34 37
Using 0.01 level of significance and a non-directional test,
test the difference of the following: a) Pretest scores between the
experimental group and control group; b) Posttest scores between the experimental group and control group; c)
Pretest and posttest scores (mean gain scores) of the experiemental group; d)
Pretest and posttest scores (mean gain scores) of the control group; e) The
mean gain scores between the experimental group and the control group.
3.
Determine
if significant significant difference exists between the perceptions of
teachers and students on the following situations that may cause pupils’ low
level of competency in Mathematics. Use
alpha = 0.05
Table
6
Pupil
factors that may cause Pupils’ Low Level of Competency in Mathematics
Causes Teachers Pupils
1.
Poor health 21 50.74 378 76.43
2.
Poor study habit 23 58.15 487 96.10
3.
Inadequate parents’ support in his studies 35 82.59 434 86.53
4.
Poor comprehension 27 69.26 431 85.99
5.
Inadequate basic mathematical skills 32 91.48 478 94.48
4.
A language proficiency test was given to 65
Liberal Arts and 59 Business Administration freshmen. The Liberal Arts students got a mean score of 88 with a standard deviation of
21. The Business Administration students
got a mean score of 82 with a standard deviation of 22. Is there a reason to believe that there is
significant difference in the performance of the two groups of students. Use alpha = 0.05.
5.
Problem: What was the overall performance of the
student teachers in on-campus training?
Table 10
Over-all
Performance of Students Teacher in On-Campus Teaching
Performance
Rating Description Number percent
97 –
100 Very
Superior 0
94 – 96 Superior 30
91 – 93 Very
Good 50
88 – 90 Good 19
85 – 87 Fairly
Good 12
80 – 84 Fair 1
75 – 79 Passing 1
70 – 74 Needs
Improvement 0
Total
Solve for the mean, standard deviation, and percentage of
the data. Interpret the results.
