UJI BEDA DATA PADA STATISTIKA
NAMA : JONPERI SINAGA
NPM : 10150555
JUDUL : PERBEDAAN USIA ANTARA LAKI LAKI DAN PEREMPUAN
MAHASISWA UHN MEDAN FKIP PROGRAM STUDY
MATEMATIKA SEMESTER V GRUP C.
α = 10 %
n1 = 15
n2 = 15
n = 30
I. Uji Normalitas
TABEL X/Laki Laki
|
No
|
Xi
|
fi
|
fk
|
fi*xi
|
xi^2
|
fi*xi^2
|
Sn
|
Z
|
F0
|
Sn- F0
|
│sn-F0│
|
|
1
|
20
|
6
|
6
|
120
|
400
|
2400
|
0.400
|
-0.805
|
0.211
|
0.189
|
0.189
|
|
2
|
21
|
7
|
13
|
147
|
441
|
3087
|
0.867
|
0.057
|
0.523
|
0.344
|
0.344
|
|
3
|
23
|
1
|
14
|
23
|
529
|
529
|
0.933
|
1.782
|
0.963
|
-0.029
|
0.029
|
|
4
|
24
|
1
|
15
|
24
|
576
|
576
|
1.000
|
2.644
|
0.996
|
0.004
|
0.004
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
JUMLAH
|
15
|
48
|
314
|
1946
|
6592
|
3.200
|
3.678
|
2.692
|
0.508
|
0.567
|
|
Dari data Laki laki di atas diperoleh :
L0 = 0,344
LTabel
= 0,201
Trima H0 jika L0 < LTabel
Kesimpulan
: Tolak H0 artinya Data Tidak
Berdistribusi Normal
TABEL Y/Perempuan
|
No
|
Yi
|
fi
|
fk
|
fi*Yi
|
Yi^2
|
fi*Yi^2
|
Sn
|
Z
|
F0
|
Sn- F0
|
│sn-F0│
|
|
1
|
19
|
2
|
2
|
38
|
361
|
722
|
0.133
|
-1.550
|
0.061
|
0.073
|
0.073
|
|
2
|
20
|
9
|
11
|
180
|
400
|
3600
|
0.733
|
-0.258
|
0.398
|
0.335
|
0.335
|
|
3
|
21
|
3
|
14
|
63
|
441
|
1323
|
0.933
|
1.034
|
0.849
|
0.084
|
0.084
|
|
4
|
22
|
1
|
15
|
22
|
484
|
484
|
1.000
|
2.326
|
0.990
|
0.010
|
0.010
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
JUMLAH
|
15
|
42
|
303
|
1686
|
6129
|
2.8
|
1.550
|
2.298
|
0.502
|
0.502
|
|
Dari data Perempuan di atas diperoleh :
L0 = 0,335
LTabel =
0,201
Trima H0 jika L0 < LTabel
Kesimpulan
: Tolak H0 artinya Data Tidak Berdistribusi Normal
II. Karena data Tidak
Berdistribusi Normal maka digunakan Uji Mann Whitney.
|
No.
|
Usia
|
|
|
Laki laki(X)
|
Perempuan(Y)
|
|
|
1
|
20
|
22
|
|
2
|
21
|
20
|
|
3
|
20
|
20
|
|
4
|
21
|
20
|
|
5
|
21
|
20
|
|
6
|
24
|
20
|
|
7
|
20
|
21
|
|
8
|
20
|
20
|
|
9
|
21
|
19
|
|
10
|
20
|
20
|
|
11
|
20
|
20
|
|
12
|
21
|
21
|
|
13
|
20
|
21
|
|
14
|
21
|
19
|
|
15
|
23
|
20
|
|
|
|
|
|
∑
|
313
|
303
|
|
No.
|
Gabungan Data X dan Y
|
Ranking
|
|
1
|
19
|
1,5
|
|
2
|
19
|
1,5
|
|
3
|
20
|
10,5
|
|
4
|
20
|
10,5
|
|
5
|
20
|
10,5
|
|
6
|
20
|
10,5
|
|
7
|
20
|
10,5
|
|
8
|
20
|
10,5
|
|
9
|
20
|
10,5
|
|
10
|
20
|
10,5
|
|
11
|
20
|
10,5
|
|
12
|
20
|
10,5
|
|
13
|
20
|
10,5
|
|
14
|
20
|
10,5
|
|
15
|
20
|
10,5
|
|
16
|
20
|
10,5
|
|
17
|
20
|
10,5
|
|
18
|
20
|
10,5
|
|
19
|
21
|
23
|
|
20
|
21
|
23
|
|
21
|
21
|
23
|
|
22
|
21
|
23
|
|
23
|
21
|
23
|
|
24
|
21
|
23
|
|
25
|
21
|
23
|
|
26
|
21
|
23
|
|
27
|
21
|
23
|
|
28
|
22
|
28
|
|
29
|
23
|
29
|
|
30
|
24
|
30
|
III. Statistik Uji
|
No.
|
Laki laki
|
Ranking
|
Perempuan
|
Ranking
|
|
1
|
20
|
10,5
|
22
|
28
|
|
2
|
21
|
23
|
20
|
10,5
|
|
3
|
20
|
10,5
|
20
|
10,5
|
|
4
|
21
|
23
|
20
|
10,5
|
|
5
|
21
|
23
|
20
|
10,5
|
|
6
|
24
|
30
|
20
|
10,5
|
|
7
|
20
|
10,5
|
21
|
23
|
|
8
|
20
|
10,5
|
20
|
10,5
|
|
9
|
21
|
23
|
19
|
1,5
|
|
10
|
20
|
10,5
|
20
|
10,5
|
|
11
|
20
|
10,5
|
20
|
10,5
|
|
12
|
21
|
23
|
21
|
23
|
|
13
|
20
|
10,5
|
21
|
23
|
|
14
|
21
|
23
|
19
|
1,5
|
|
15
|
23
|
29
|
20
|
10,5
|
|
|
|
|
|
|
|
|
Jumlah
|
270,5
|
Jumlah
|
194,5
|
|
|
Rata-rata
|
18,03
|
Rata-rata
|
12,93
|
MR1 = n1(n1+n2+1)/2
= 15(15 +15+1)/2
MR1 = 232,5
σR2 = n1n2 (n1+n2+1)/12
=
15 x 15(15+15+1)/12
= 225(31)/12
= 6975/12
σR2 = 581,25
σR = 24,109
Z
= R1–MR1/σR
= 270,5–232,5/24,109
= 1,58
α =
10
%
½ α = 5
%
½ α
= 0,05
Maka :
F0 =
0,5-0,05
= 0,045
Z½α = 0,11
Trima H0 Jika :
-Z½α < Z < Z½α
-0,11 < 1,58 < 0,11
Kesimpulan :
Tolak H0 Artinya :
Ada Perbedaan Usia Antara
Laki laki dan Perempuan Mahasiswa UHN Medan FKIP
Program Study Matematika
Semester V Grup C.
Nommensen
University Medan.
Samosir,Johnferi Sinaga
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