PRESENT THE RESULTS OF THE FOLLOWING
PROBLEMS IN A TABULAR FORM AND INTERPRET.
1.
A standardized Mathematics test was given to
fourth-grade children in five schools in each of the three Paranaque school
districts. The mean score for each
school district follows:
|
District 1
|
District 2
|
District 3
|
|
59
|
58
|
55
|
|
68
|
63
|
79
|
|
77
|
72
|
52
|
|
70
|
55
|
77
|
|
79
|
80
|
66
|
Use the 0.05 level of
significance to test the claim that there is no difference in the mean scores
from each school district.
2.
A newspaper publisher trying to
pinpoint his market’s characteristics, wondered whether newspaper
readership in the community is related to reader’s educational
achievement. A survey questioned adults
in the area on their level of education and their frequency of readership. The results are shown in the following
table. Use 0.01 significance level.
|
Readership
|
Level of Educational
Achievement
|
|||
|
PROFESSIONAL
|
COLLEGE
|
HIGH SCHOOL
|
DID NOT COMPLETE HS
|
|
|
NEVER
|
7
|
14
|
13
|
16
|
|
SOMETIMES
|
13
|
17
|
7
|
7
|
|
MORNING
|
39
|
41
|
8
|
12
|
|
BOTH EDITIONS
|
22
|
23
|
8
|
12
|
3.
A class adviser was interested
in determining the relationship between the Mathematics grades and Chemistry
grades of the top 10 junior students.
She gathered the following data.
Student Mathematics
Grade(X) Chemistry Grade
(Y)
1 84 85
2 89 88
3 84 83
4 86 86
5 84 85
6 84 88
7 87 89
8 94 93
9 88 84
10 85 84
Compute the coefficient of correlation and determine
whether there is significant relationship between the two scores at 0.01 level
of significance.
4.
A group of 50 college freshmen
was randomly assigned to experimental and control groups to determine the
effectiveness of a counselling program upon academic averages. Use any method to test the null hypothesis
that there was no difference between the academic performance of the
experimental and control groups at the 0.05 level of significance. Use the data in the following table.
Experimental Control
2.10 2.01
3.00 2.69
1.96 3.07
2.04 2.14
3.27 2.82
3.60 2.57
3.80 3.44
2.75 4.00
1.98 3.01
2.00 2.55
2.98 2.77
3.10 3.09
3.69 2.72
2.66 3.34
2.56 2.81
2.50 3.05
3.77 2.67
2.40 1.90
3.20 1.70
1.71 1.57
3.04 1.39
2.06 2.09
2.86 3.68
3.02 2.11
1.88 2.83
5.
A researcher wants to compare
the problems met by teachers and head teachers in relation to administration
and supervision. She uses 27 teachers
and 18 head teachers as her samples. The
questionnaire and their respective answers are collated and presented. Test if significant difference exists between
the problems met by teachers and head teachers at 0.05 level.
|
Item Number
|
Problems
|
Teacher
|
Head Teacher
|
||
|
f
|
%
|
f
|
%
|
||
|
1
|
Lack of encouragement
on the part of teachers to attend in service training, seminars, workshops
|
18
|
66.66
|
8
|
44.44
|
|
2
|
Lack of support in
supplying school materials
|
26
|
96.29
|
13
|
72.22
|
|
3
|
Lack of opportunity
for teachers to grow professionally by enjoying study leave
|
12
|
44.44
|
13
|
72.22
|
|
4
|
No supervisory help in
carrying out community services
|
25
|
92.59
|
10
|
55.55
|
|
5
|
Lack of will to impose
disciplinary measure on erring personnel
|
15
|
55.55
|
17
|
94.44
|
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