APPENDIX 14 HOMOGENEITY OF PRE-TEST OF THE EXPERIMENTAL AND
CONTROL GROUP Hypothesis
Ho :
σ
1 2
= σ
2 2
Ha :
σ
1 2
≠
σ
2 2
The Calculation Formula:
F =
Ho is accepted if F
value
≤ F
table
Experimental Control
SUM 2135
2120
N
31 31
Mean 68.87
68.38
Variance s
2
218 163.91
Standard Deviation s 14.76
12.8
F = = 1.33
For α = 5 with df 1 = n
1
– 1 = 31 – 1 = 30 df 2 = n
2
– 1 = 31 – 1 = 30 F
table
= 1.83
Since F
value
F
table
, the experimental and control group have the same variance.
Ho unaccepted area
F
table
Ho accepted area
Ho unaccepted area
1.83 Ho accepted area
1.33
APPENDIX 15 NORMALITY OF PRE-TEST OF EXPERIMENTAL GROUP
Hypothesis Ho : the data distributed normally
Ha : the data didn‟t distributed normally The Calculation
Formula
∑
Criteria Ho is accepted if
χ
2
χ
2 table
Testing Hypothesis Maximum score
= 85
Minimum score =
50 Range
= 35
Class interval =
k = 1 + 3.3 log 35 k = 1 + 3.3 1.5441
k = 6.10 rounded ~6 Class width
= range : class interval
= 35 : 6.10
= 5.737704918 rounded ~6
CLASS INTERVAL X
MIN
Zi PZ
P Ei
Oi
50 - 55 49,5
-1,31233 0,0951
0,089 2,759
2 0,28804
56 - 61 55,5
-0,90583 0,1841
0,1244 3,8564
5 0,261564
62 - 67 61,5
-0,49932 0,3085
0,1556 4,8236
5 0,006223
68 - 73 67,5
-0,09282 0,4641
0,1576 4,8856
9 1,880921
74 - 79 73,5
0,313686 0,6217
0,1425 4,4175
6 0,417384
80 - 85 79,5
0,72019 0,7642
0,1226 3,8006
4 0,00994
85,5 1,126694
0,8868 X
2 value
2,864073
For α = 5, with dk = 6 – 3 = 3 χ
2
table will be = 7.82
7.82 2.86
Because χ
2
χ
2 table
then the pre-test is said to be normally distributed.
APPENDIX 16 NORMALITY OF PRE-TEST OF CONTROL GROUP
Hypothesis Ho : the data distributed normally
Ha : the data didn‟t distributed normally The Calculation
Formula
∑
Criteria Ho is accepted if
χ
2
χ
2 table
Testing Hypothesis Maximum score
= 85
Minimum score =
55 Range
= 35
Class interval =
k = 1 + 3.3 log 30 k = 1 + 3.3 1.4771
k = 5.87 rounded ~6 Class width
= range : class interval
= 30 : 5.87
= 5.110732538 rounded ~5
CLASS INTERVAL X
MIN
Zi PZ
P Ei
Oi
55 - 59 54,5
-1,08516 0,1401
0,105 3,255
2 0,787512
60 - 64 59,5
-0,69453 0,2451
0,137 4,247
5 0,113402
65 - 69 64,5
-0,30391 0,3821
0,1538 4,7678
6 0,253053
70 - 74 69,5
0,086719 0,5359
0,1485 4,6035
12 4,559018
75 - 79 74,5
0,477344 0,6844
0,1234 3,8254
2 1,666043
80 - 84 79,5
0,867969 0,8078
0,0866 2,6846
2 0,234339
85 - 89 84,5
1,258594 0,8944
0,0561 1,7391
2 0,034034
89,5 1,649219
0,9505 X
2 value
7,6474
For α = 5, with dk = 6 – 3 = 3 χ
2
table will be = 7.82
7.82 7.65
Because χ
2
χ
2 table
then the pre-test is said to be normally distributed.
APPENDIX 17 THE HOMOGENEITY OF POST-TEST OF THE EXPERIMENTAL AND
CONTROL GROUP Hypothesis
Ho :
σ
1 2
= σ
2 2
Ha :
σ
1 2
≠
σ
2 2
The Calculation Formula:
F =
Ho is accepted if F
value
≤ F
table
Experimental Control
SUM
2590 2310
N 31
31
Mean
83.55 74.52
Variance s
2
300.03 250.62
Standard Deviation s 17.31
15.69
F = = 1.19
For α = 5 with df 1 = n
1
– 1 = 31 – 1 = 30 df 2 = n
2
– 1 = 31 – 1 = 30 F
table
= 1.83
Since F
value
F
table
, the experimental and control group have the same variance.
Ho unaccepted area