L5 - 29
13. Lebar Jari
Uji Normal
k = 3.3 log n + 1
= 3.3 log 100 + 1 = 7.6 ≈ 8 kelas
c = Xmax – Xmin k = 11
– 5.5 7.6 = 0.724 ≈ 0.7
Batas Kelas oi
Z1 Z2
PZ1 P Z2
PZ2 - PZ1
ei ei
gab oi
gab
2
5.45 -
∞ -1.970
0.024 0.024
2.439 8.919
9 0.001
5.45 - 6.15 9
-1.970 -1.346
0.024 0.089
0.065 6.479
6.15 - 6.85 8
-1.346 -0.721
0.089 0.235
0.146 14.624
14.624 8
3.001 6.85 - 7.55
28 -0.721
-0.096 0.235
0.462 0.226
22.618 22.618
28 1.281
7.55 - 8.25 25
-0.096 0.528
0.462 0.701
0.240 23.975
23.975 25
0.044 8.25 - 8.95
15 0.528
1.153 0.701
0.876 0.174
17.419 17.419
15 0.336
8.95 - 9.65 8
1.153 1.778
0.876 0.962
0.087 8.673
12.445 15
0.525 9.65 - 10.35
5 1.778
2.402 0.962
0.992 0.030
2.958 10.35 - 11.05
2 2.402
3.027 0.992
0.999 0.007
0.691 11.05
3.027 ∞
0.999 1
0.001 0.123
100 1
100 100
100 5.186
Tabel uji normal v = k
– r – 1 v = 6
– 2 – 1 = 3 α = 0.05
2
v, α
= 7.815
2
hasil perhitungan = 5.186
2
hasil perhitungan
2
v, α
sehingga mengikuti distribusi normal
L5 - 30
Uji Seragam
Subgroup 1
2 3
4 5
6 7
8 9
10 rata - rata
1 8.0
8.5 7.5
7.0 9.0
8.0 9.0
7.0 6.0
8.5 7.85
2 7.5
8.5 7.5
10.0 9.0
7.5 7.2
8.0 8.0
9.5 8.27
3 6.0
7.0 7.5
6.0 8.0
7.5 8.6
6.2 8.0
9.5 7.43
4 5.5
8.0 6.0
7.0 8.5
10.0 6.0
8.5 7.0
11.0 7.75
5 6.0
7.0 7.5
7.0 9.0
8.0 7.0
8.0 6.5
7.0 7.30
6 7.0
7.0 6.5
7.0 7.7
7.5 8.5
10.0 7.5
7.5 7.62
7 8.5
7.0 7.0
10.5 9.2
7.5 9.0
9.0 8.0
8.0 8.37
8 7.5
6.5 6.5
9.8 7.2
6.0 7.5
7.5 7.0
7.0 7.25
9 8.0
7.0 8.0
7.5 7.8
6.5 7.0
7.0 8.0
6.5 7.33
10 7.0
6.0 7.0
7.5 9.0
7.0 7.0
6.5 10.0
7.1 7.41
7.66 Rata-rata
x
= 7.658 = 1.12
35 .
10 1.12
n
x
x
c x
BKB
= 7.658 – 20.35 = 6.95
x
c x
BKA
= 7.658 + 20.35 = 8.37
7.85 8.27
7.43 7.75
7.30 7.62
8.37 7.25
7.33 7.41
BKB = 6.95 BKA = 8.37
6 6.5
7 7.5
8 8.5
9
1 2
3 4
5 6
7 8
9 10
R a
ta -
r a
ta
Subgroup ke -
Grafik Uji Seragam Lebar Jari
Berdasarkan grafik di atas, dapat disimpulkan bahwa data seragam karena berada dalam batas BKA dan BKB.
L5 - 31
Uji Cukup ∑ Xi
2
= 8
2
+ 7.5
2
+ ...... + 7.1
2
= 7774.42 ∑ Xi
2
= 8+ 7.5 + ..... + 7.1
2
= 868.80
2
= 754813.44
2 2
2
i i
i
x x
x N
c N
2
868.80 44
. 754813
42 .
7774 100
1 .
2
= 11.99
N = 100 N’ N → data yang diperoleh sudah cukup
14. Tebal Dada