4.2 Data Analysis Table 4.7
The Calculation of Mean and Standard Deviation of the Experimental Group
No. Students’ Initial
X
1
X
1
-X
1
X
1
-X
1 2
1. ARA
35 -7
49 2.
AYS 55
13 169
3. ASW
40 -2
4 4.
A 25
-17 289
5. AA
30 -12
144 6.
ASA 45
3 9
7. AM
35 -7
49 8.
DZS 60
18 324
9. DS
20 -22
484 10.
FAP 15
-27 729
11. FNR
30 -12
144 12.
FMP 40
-2 4
13. IDMG
45 3
9 14.
JMP 65
23 529
15. JPP
30 -12
144 16.
JKT 25
-17 289
17. KSN
30 -12
144 18.
LD 45
3 9
19. MDT
55 13
169 20.
MLA 70
28 784
21. MM
35 -7
49 22.
MRS 50
8 64
23. MA
55 13
169 24.
NA 55
13 169
25. NAP
65 23
529 26.
RMP 20
-22 484
27. RAN
45 3
9 28.
RSR 30
-12 144
29. TT
65 23
529 30.
TBS 40
-2 4
31. SO
40 -2
4 32.
SR 40
-2 4
33. WS1
45 3
9 34.
WS2 55
13 169
35. ZZR
35 -7
49 Total
∑X
2
= 6860
Universitas Sumatera Utara
Table 4.8 The Calculation of Mean and Standard Deviation of the Control Group
No. Students’ Initial
X
2
X
2
-X
2
X
2
-X
2 2
1. AS
20 10.72
114.9184 2.
AP 10
0.72 0.5184
3. AZZ
10 0.72
0.5184 4.
AFH 10
0.72 0.5184
5. AH
5 -4.28
18.3184 6.
BS 10
0.72 0.5184
7. EN
10 0.72
0.5184 8.
EPD 15
5.72 32.7184
9. FR
5 -4.28
18.3184 10.
FM 15
5.72 32.7184
11. IM
15 5.72
32.7184 12.
IA -9.28
86.1184 13.
IR 5
-4.28 18.3184
14. INC
10 0.72
0.5184 15.
JDSS -9.28
86.1184 16.
LRM 15
5.72 32.7184
17. MV
5 -4.28
18.3184 18.
MAFT 5
-4.28 18.3184
19. MIS
10 0.72
0.5184 20.
MPY 10
0.72 0.5184
21. MR
15 5.72
32.7184 22.
MRAP 15
5.72 32.7184
23. MRA
10 0.72
0.5184 24.
MS 15
5.72 32.7184
25. NP
10 0.72
0.5184 26.
PAL 10
0.72 0.5184
27. PG
5 -4.28
18.3184 28.
RDN 5
-4.28 18.3184
29. SZ
5 -4.28
18.3184 30.
SDA -9.28
86.1184 31.
SS 10
0.72 0.5184
32. SHRSP
10 0.72
0.5184 33.
S 5
-4.28 18.3184
34. SDM
20 10.72
114.9184 35.
WJ 5
-4.28 18.3184
Total ∑Y
2
= 907.144
Universitas Sumatera Utara
Based on the calculation of the table, the following formula of t-test was implemented to find out t-observe value both groups as the basis t-test the hypothesis
of this research: 1.
SD Variabel X Standard Deviation of Experimental Group SD
x
or SD
1
=
√
∑X
2
N
1
=
√
35 6860
=
√
196 = 14
2. SD Variable Y Standard Deviation of Control Group
SDy or SD
2
=
√
∑Y
2
N
2
=
√
35 907.144
=
√
25.9184 = 5.0910
The calculation above shows the following facts: SDx
= 14 SDy
= 5.0910 N
1
= 35 N
2
= 35 X
1
= 1470 X
2
= 325 X
1
= 42
Universitas Sumatera Utara
X
2
= 9.28 X
2
-X
1 2
= 6860 X
2
-X
2 2
= 907.144 Therefore the following formula is implemented:
SE
M1
= SD
1
√
N
1
-1 = 14
√
35-1
= 14
√
34 = 14
5.830 = 2.4013
SE
M2
= SD
2
√
N
2
-1 = 5.0910
√
35-1 = 5.0910
√
34 = 5.0910
5.830 = 0.8732
SE
m1
= Standard Error of Mean Experimental Group SE
m2
= Standard Error of Mean Control Group
Universitas Sumatera Utara
Next the following formula is implemented to find out the error standard of deviation between M
1
and M
2
: SE
M1-M2
=
√
SE
M1 2
+ SE
M2 2
=
√
2.4013
2
+ 0.8732
2
=
√
5.766241+ 0.762478 =
√
6.528719 = 2.5551
The result above then be applied to test hypothesis: T
T
observed
= M
1
- M
2
SE
M1-M2
= 42-9.28 2.5551
= 32.72 2.5551
= 12.80
4.3 Testing Hypothesis