Lampiran 1. Bagan alir pembuatan basis gel
Aquades
Dipanaskan hingga suhu 75°C
Karagenan,
Natrium Aduk hingga homogen
Turunkan suhu hingga 650 C
Propilen glikol Aduk hingga homogen
Tuangkan dalam cetakan
Biarkan pada suhu ruangan hingga
Aquades
Dipanaskan hingga suhu 75°C
Karagenan,
Natrium Aduk hingga homogen
Turunkan suhu hingga 650 C
Propilen glikol Aduk hingga homogen
Minyak lemon, i k il
Aduk hingga homogen
Tuangkan dalam cetakan
Biarkan pada suhu ruangan hingga
Lampiran 5.Contoh lembar penilaian uji kesukaan (hedonic test)
Lampiran 6.Tabel penguapan zat cair pertiga hari selama 30 hari (gram) Lembar Penilaian Uji Kesukaan (Hedonic Test)
Nama : Umur :
Instruksi : Berikan pendapat anda tentang aroma wangi sedian gel pengharum ruangan yang di uji, kemudian berilah tanda centang () pada salah satu kolom (SS/S/CS/KS/TS) yang tersedia
Sediaan
Penilaian
SS S CS KS TS
1% 1,5%
2% 2,5%
Keterangan :
Nilai 5 = Sangat Suka (SS) Nilai 4 = Suka (S)
Lampiran 6.Rumus perhitungan nilai uji kesukaan (hedonic test)
Untuk menghitung nilai kesukaan rata-rata dari setiap panelis digunakan rumus sebagai berikut:
•
n Xi X
n i
∑
==
•
(
)
n X Xi S
n i
∑
−=
2 2
• 2
S S =
• P(X −(1,96.S/ n)≤µ ≤(X +(1,96.S/ n) ≅95%
Keterangan :
n : Banyak panelis
S2 : Keseragaman nilai kesukaan
1,96 : Koefisien standar deviasi pada taraf 95%
X : Nilai kesukaan rata-rata
Xi : Nilai dari panelis ke i, dimana i = 1,2,3,…,n S : Simpangan baku nilai kesukaan
Panelis
Formula
N1 N2 N3 N4
1 5 5 5 5
2 5 4 3 3
3 4 4 4 4
4 5 4 5 5
5 5 5 4 5
6 4 4 4 4
7 5 5 4 3
8 3 4 3 3
9 4 4 4 4
10 5 5 5 5
11 3 3 4 5
12 5 5 4 3
13 5 5 4 4
14 5 4 5 5
15 4 4 4 3
16 5 5 4 3
17 4 4 4 3
18 5 5 5 5
19 4 4 4 3
20 5 4 4 4
21 5 4 4 4
22 5 5 5 5
23 4 4 4 3
24 5 5 5 4
25 5 4 4 3
Formula N1
•
n Xi X
n i
∑
==
56 , 4 25 114
25
5 .... 5 4 5 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
402 , 0
25 05 , 10
25
56 , 4 5 .... 56 , 4 5 56 , 4 4 56 , 4 5 56 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
63 , 0
402 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 31 , 4 80
, 4 (
) 24 , 0 56 , 4 ( )
24 , 0 56 , 4 (
) 25 / 63 , 0 . 96 . 1 ( 56 , 4 ( )
25 / 63 , 0 . 96 , 1 ( 56 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
36 , 4 25 109
25
4 .... 4 4 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
309 , 0
25 74 , 7
25
36 , 4 4 .... 36 , 4 4 36 , 4 4 36 , 4 4 36 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
55 , 0
309 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n
) 57 , 4 15
, 4 (
) 21 , 0 36 , 4 ( )
21 , 0 36 , 4 (
) 25 / 55 , 0 . 96 . 1 ( 36 , 4 ( )
25 / 55 , 0 . 96 , 1 ( 36 , 4 (
≤ ≤
+ ≤
≤ −
+ ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
2 , 4 25 105
25
4 .... 5 4 3 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
32 , 0
25 8
25
2 , 4 4 .... 2 , 4 5 2 , 4 4 2 , 4 3 2 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
56 , 0
32 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n
) 41 , 4 99
, 3 (
) 21 , 0 2 , 4 ( )
21 , 0 2 , 4 (
25 / 46 , 0 . 96 . 1 ( 2 , 4 ( )
25 / 56 , 0 . 96 , 1 ( 2 , 4 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
FormulaN4
•
n Xi X
n i
∑
==
92 , 3 25 98
25
3 .... 5 4 3 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
71 , 0
25 77 , 17
25
92 , 3 3 .... 92 , 3 5 92 , 3 4 92 , 3 3 92 , 3
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
84 , 0
71 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n
) 24 , 4 6
, 3 (
) 32 , 0 92 , 3 ( )
32 , 0 92 , 3 (
) 25 / 84 , 0 . 96 . 1 ( 92 , 3 ( )
25 / 84 , 0 . 96 , 1 ( 92 , 3 (
≤ ≤
+ ≤
≤ −
+ ≤
≤ −
µ
µ
µ
Pada ruangan biasa
Kode
Bobot (gram)
Awal Minggu 1 Minggu 2 Minggu 3 Minggu 4
N1 93,725 86,883 79,358 72,549 65,871
N2 90,225 82,555 75,014 67,452 59,629
N3 91,919 83,094 75,289 67,194 59,911
N4 91,815 81,420 72,191 63,231 54,592
Pada ruangan AC
Kode
Bobot (gram)
Awal Minggu 1 Minggu 2 Minggu 3 Minggu 4
N1 93,146 83,472 74,099 63,574 54,189
N2 92,439 81,594 70,755 59,912 48,797
N3 91,601 79,415 67,814 55,591 43,924
N4 91,720 78,652 66,351 54,151 42,981
Pada ruangan kipas
Kode
Bobot (gram)
Awal Minggu 1 Minggu 2 Minggu 3 Minggu 4
N1 90,640 75,346 60,439 45,714 29,964
N2 92,950 76,712 59,985 44,515 27,971
N3 94,787 77,854 60,532 43,691 26,759
Rumus:
Persen total penguapan zat cair = zat cair yang menguap (M0−M4)
M0 x 100%
Keterangan:
M0 : berat gel awal
M4 : berat gel pada minggu ke 4
Perhitungan persentase total penguapan zat cair pada ruangan biasa
Formula N1 = 100% 29,71%
93,725 65,871 93,725
= −
x
Formula N2 = 100% 33,91%
90,225 59,629
90,225− =
x
Formula N3 = 100% 34,82%
91,919 59,911
91,919 − =
x
Formula N4 = 100% 40,54%
91,815 54,592 91,815
= −
Perhitungan persentase penguapan zat cair pada ruangan AC
Formula N1= 100% 41,82%
93,146 54,189
93,146 − =
x
Formula N2 = 100% 47,21%
92,439 48,797 92,439
= −
x
Formula N3 = 100% 52,04%
91,601 43,924
91,601 − =
x
Formula N4 = 100% 53,13%
91,720 42,981
91,720 − =
x
Perhitungan persentase penguapan zat cair pada ruangan kipas
Formula N1 = 100% 66,94%
90,640 29,964
90,640 − =
x
Formula N2 = 100% 69,90%
92,950 27,971 92,950
= −
x
Formula N3 = 100% 71,76%
94,787 26,759
94,787 − =
x
Formula N4 = 100% 73,74%
97,789 25,675 97,789
= −
Lampiran 6.Tabel penguapan zat cair pertiga hari selama 30 hari (gram) Lembar Penilaian Uji Ketahanan Wangi
Nama : Umur :
Instruksi : Berikan pendapat anda tentang aroma wangi sedian gel pengharum ruangan yang di uji, kemudian berilah tanda centang () pada salah satu kolom (SW/AKW/KW/SKW/TSW) yang tersedia
Sediaan
Penilaian
SW AKW KW SKW TSW
1% 1,5%
2% 2,5%
Keterangan :
Nilai 5 = Sama Wangi (SW)
Nilai 4 = Agak Kurang Wangi (AKW) Nilai 3 = Kurang Wangi (KW)
Minggu 1
Panelis
Formula
N1 N2 N3 N4
1 5 5 5 5
2 4 5 4 3
3 5 5 4 4
4 5 4 5 5
5 5 5 4 5
6 4 4 4 4
7 5 5 4 3
8 5 5 5 4
9 4 4 4 4
10 5 5 5 5
11 5 5 4 5
12 5 5 4 3
13 5 5 4 4
14 5 4 5 5
15 4 5 5 4
16 5 5 4 4
17 4 4 4 3
18 5 5 5 5
19 4 4 4 3
20 5 4 4 4
21 5 4 4 4
22 5 5 5 5
23 4 4 4 3
24 5 5 5 4
25 5 4 4 3
Perhitungan hasil uji ketahanan wangi pada ruangan biasa Minggu 1
FormulaN1
•
n Xi X
n i
∑
==
72 , 4 25 118
25
5 .... 5 5 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
19 , 0
25 97 , 4
25
72 , 4 5 .... 72 , 4 5 72 , 4 5 72 , 4 4 72 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
43 , 0
19 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 16 , 0 72 , 4 ( )
16 , 0 72 , 4 (
) 25 / 43 , 0 . 96 . 1 ( 72 , 4 ( )
25 / 43 , 0 . 96 , 1 ( 72 , 4 (
+ ≤
≤ −
− ≤
≤ −
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
6 , 4 25 115
25
4 .... 4 5 5 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
24 , 0 25
6
25
6 , 4 4 .... 6 , 4 4 6 , 4 5 6 , 4 5 6 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
48 , 0
24 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 42 , 4 78
, 4 (
) 18 , 0 6 , 4 ( )
18 , 0 6 , 4 (
) 25 / 48 , 0 . 96 . 1 ( 6 , 4 ( )
25 / 48 , 0 . 96 , 1 ( 6 , 4 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
FormulaN3
•
n Xi X
n i
∑
==
36 , 4 25 109
25
4 .... 5 4 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
22 , 0
25 6 , 5
25
36 , 4 4 .... 36 , 4 5 36 , 4 4 36 , 4 4 36 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
46 , 0
22 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 18 , 4 54
, 4 (
) 18 , 0 36 , 4 ( )
18 , 0 36 , 4 (
) 25 / 46 , 0 . 96 . 1 ( 36 , 4 ( )
25 / 46 , 0 . 96 , 1 ( 36 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
04 , 4 25 101
25
3 .... 5 4 3 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
59 , 0
25 25 , 14
25
04 , 4 3 .... 04 , 4 5 04 , 4 4 04 , 4 3 04 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
76 , 0
59 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
75 , 3 33
, 4 (
) 29 , 0 04 , 4 ( )
29 , 0 04 , 4 (
) 25 / 76 , 0 . 96 . 1 ( 04 , 4 ( )
25 / 76 , 0 . 96 , 1 ( 04 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 2
Panelis
Formula
N1 N2 N3 N4
1 5 5 4 4
2 4 3 3 3
3 5 4 3 3
4 4 4 4 4
5 5 4 3 3
6 4 3 3 3
7 3 3 4 3
8 5 5 4 4
9 4 4 4 4
10 5 5 4 4
11 3 5 4 3
12 4 5 4 3
13 5 5 4 4
14 5 4 4 4
15 4 5 4 4
16 5 5 4 4
17 4 4 3 3
18 5 5 4 4
19 5 4 4 3
20 5 4 4 4
21 4 4 4 3
22 5 5 4 4
23 4 4 4 3
24 4 5 5 4
25 5 4 4 3
Minggu 2 FormulaN1
•
n Xi X
n i
∑
==
44 , 4 25 111
25
5 .... 5 5 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
35 , 0
25 8 , 8
25
44 , 4 5 .... 44 , 4 4 44 , 4 5 44 , 4 4 44 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
59 , 0
35 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 21 , 4 67
, 4 (
) 23 , 0 44 , 4 ( )
23 , 0 44 , 4 (
) 25 / 59 , 0 . 96 . 1 ( 44 , 4 ( )
25 / 59 , 0 . 96 , 1 ( 44 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
32 , 4 25 108
25
5 .... 5 5 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
45 , 0
25 44 , 11
25
32 , 4 4 .... 32 , 4 4 32 , 4 4 32 , 4 3 32 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
67 , 0
45 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 06 , 4 58
, 4 (
) 26 , 0 32 , 4 ( )
26 , 0 32 , 4 (
) 25 / 67 , 0 . 96 . 1 ( 32 , 4 ( )
25 / 67 , 0 . 96 , 1 ( 32 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
84 , 3 25 96
25
5 .... 5 5 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
21 , 0
25 36 , 5
25
84 , 3 4 .... 84 , 3 4 84 , 3 3 84 , 3 3 84 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
45 , 0
21 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 67 , 3 01
, 4 (
) 17 , 0 84 , 3 ( )
17 , 0 84 , 3 (
) 25 / 45 , 0 . 96 . 1 ( 84 , 3 ( )
25 / 45 , 0 . 96 , 1 ( 84 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
52 , 3 25 88
25
5 .... 5 5 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
24 , 0
25 24 , 6
25
52 , 3 4 .... 52 , 3 4 52 , 3 3 52 , 3 3 52 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
48 , 0
24 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 34 , 3 70
, 3 (
) 18 , 0 52 , 3 ( )
18 , 0 52 , 3 (
) 25 / 48 , 0 . 96 . 1 ( 52 , 3 ( )
25 / 48 , 0 . 96 , 1 ( 52 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 3
Panelis
Formula
N1 N2 N3 N4
1 4 4 4 3
2 3 3 4 3
3 4 4 3 3
4 3 4 3 2
5 4 4 3 3
6 4 4 3 2
7 3 3 4 3
8 3 4 4 3
9 4 4 3 2
10 4 3 2 2
11 3 4 3 2
12 4 3 2 2
13 4 3 2 3
14 3 4 3 2
15 4 3 2 3
16 3 4 3 2
17 4 2 2 3
18 3 3 4 2
19 3 4 3 3
20 3 4 3 2
21 2 3 2 2
22 4 4 3 2
23 3 4 2 3
24 4 3 3 2
25 2 2 2 2
FormulaN1
•
n Xi X
n i
∑
==
4 , 3 25 85
25
2 .... 3 4 3 4
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4 , 0 25 10
25
4 , 3 2 .... 4 , 3 3 4 , 3 4 4 , 3 3 4 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
63 , 0
4 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 14 , 3 64
, 3 (
) 24 , 0 4 , 3 ( )
24 , 0 4 , 3 (
) 25 / 63 , 0 . 96 . 1 ( 4 , 3 ( )
25 / 63 , 0 . 96 , 1 ( 4 , 3 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
FormulaN2
•
n Xi X
n i
∑
==
48 , 3 25 87
25
2 .... 4 4 3 4
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4096 , 0
25 24 , 10
25
48 , 3 2 .... 48 , 3 4 48 , 3 4 48 , 3 3 48 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
64 , 0
4096 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 23 , 3 73
, 3 (
) 25 , 0 48 , 3 ( )
25 , 0 48 , 3 (
) 25 / 64 , 0 . 96 . 1 ( 48 , 3 ( )
25 / 64 , 0 . 96 , 1 ( 48 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
88 , 2 25 72
25
2 .... 3 3 4 4
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
5056 , 0
25 64 , 12
25
88 , 2 2 .... 88 , 2 3 88 , 2 3 88 , 2 4 88 , 2
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
71 , 0
5056 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 61 , 2 15
, 3 (
) 27 , 0 88 , 2 ( )
27 , 0 88 , 2 (
) 25 / 71 , 0 . 96 . 1 ( 88 , 2 ( )
25 / 71 , 0 . 96 , 1 ( 88 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
44 , 2 25 61
25
2 .... 2 3 3 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
2426 , 0
25 16 , 6
25
44 , 2 2 .... 44 , 2 2 44 , 2 3 44 , 2 3 44 , 2
3 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2426 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 25 , 2 63
, 2 (
) 19 , 0 44 , 2 ( )
19 , 0 44 , 2 (
) 25 / 49 , 0 . 96 . 1 ( 44 , 2 ( )
25 / 49 , 0 . 96 , 1 ( 44 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 4
Panelis
Formula
N1 N2 N3 N4
1 2 2 1 1
2 1 1 2 1
3 2 2 2 2
4 1 1 1 1
5 2 1 2 1
6 2 2 1 2
7 2 1 2 2
8 1 1 1 1
9 2 2 1 1
10 2 1 1 1
11 3 2 2 1
12 2 1 2 1
13 2 1 1 1
14 1 1 2 2
15 2 1 1 1
16 3 2 2 1
17 2 1 1 1
18 2 1 1 1
19 1 1 2 2
20 3 2 1 1
21 2 1 2 1
22 2 2 1 1
23 1 1 2 1
24 2 1 1 2
25 2 2 1 1
FormulaN1
•
n Xi X
n i
∑
==
88 , 1 25 47
25
2 .... 1 2 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
3456 , 0
25 64 , 8
25
88 , 1 2 .... 88 , 1 1 88 , 1 2 88 , 1 1 88 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
58 , 0
3456 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 66 , 1 1
, 2 (
) 22 , 0 88 , 1 ( )
22 , 0 88 , 1 (
) 25 / 58 , 0 . 96 . 1 ( 88 , 1 ( )
25 / 58 , 0 . 96 , 1 ( 88 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
36 , 1 25 34
25
2 .... 1 2 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
2252 , 0
25 63 , 5
25
36 , 1 2 .... 36 , 1 1 36 , 1 2 36 , 1 1 36 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
47 , 0
2252 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 18 , 1 54
, 1 (
) 18 , 0 36 , 1 ( )
18 , 0 36 , 1 (
) 25 / 47 , 0 . 96 . 1 ( 36 , 1 ( )
25 / 47 , 0 . 96 , 1 ( 36 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
44 , 1 25 36
25
1 .... 1 2 2 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
35 , 0
25 87 , 8
25
44 , 1 1 .... 44 , 1 1 44 , 1 2 44 , 1 2 44 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
59 , 0
35 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 21 , 1 67
, 1 (
) 23 , 0 44 , 1 ( )
23 , 0 44 , 1 (
) 25 / 59 , 0 . 96 . 1 ( 44 , 1 ( )
25 / 59 , 0 . 96 , 1 ( 44 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
24 , 1 25 31
25
1 .... 1 2 1 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
1824 , 0
25 56 , 4
25
24 , 1 1 .... 24 , 1 1 24 , 1 2 24 , 1 1 24 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
42 , 0
1824 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 08 , 1 4
, 1 (
) 16 , 0 24 , 1 ( )
16 , 0 24 , 1 (
) 25 / 42 , 0 . 96 . 1 ( 24 , 1 ( )
25 / 42 , 0 . 96 , 1 ( 24 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 1
Panelis
Formula
N1 N2 N3 N4
1 5 5 4 3
2 5 4 3 2
3 5 4 3 3
4 4 5 4 3
5 5 4 3 3
6 4 3 3 3
7 5 4 4 3
8 5 5 3 4
9 4 4 4 3
10 3 3 4 4
11 5 4 3 3
12 4 4 4 3
13 5 5 3 4
14 5 4 4 3
15 4 5 3 4
16 5 5 4 4
17 4 4 3 2
18 5 5 4 4
19 4 4 4 3
20 5 5 3 4
21 4 4 4 3
22 5 4 4 3
23 4 5 2 3
24 3 3 3 2
25 5 4 4 3
FormulaN1
•
n Xi X
n i
∑
==
48 , 4 25 112
25
5 .... 4 5 5 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4096 , 0
25 24 , 10
25
48 , 4 5 .... 48 , 4 4 48 , 4 5 48 , 4 5 48 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
64 , 0
4096 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 23 , 4 73
, 4 (
) 25 , 0 48 , 4 ( )
25 , 0 48 , 4 (
) 25 / 64 , 0 . 96 . 1 ( 48 , 4 ( )
25 / 64 , 0 . 96 , 1 ( 48 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
24 , 4 25 106
25
4 .... 5 4 4 5
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4224 , 0
25 56 , 10
25
24 , 4 4 .... 24 , 4 5 24 , 4 4 24 , 4 4 24 , 4
5 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
64 , 0
4224 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 99 , 3 49
, 4 (
) 25 , 0 24 , 4 ( )
25 , 0 24 , 4 (
) 25 / 64 , 0 . 96 . 1 ( 24 , 4 ( )
25 / 64 , 0 . 96 , 1 ( 24 , 4 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
56 , 3 25 89
25
4 .... 4 3 3 4
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
2464 , 0
25 16 , 6
25
56 , 3 4 .... 56 , 3 4 56 , 3 3 56 , 3 3 56 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2426 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 37 , 3 75
, 3 (
) 19 , 0 56 , 3 ( )
19 , 0 56 , 3 (
) 25 / 49 , 0 . 96 . 1 ( 56 , 3 ( )
25 / 49 , 0 . 96 , 1 ( 56 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
16 , 3 25 79
25
3 .... 3 3 2 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
3744 , 0
25 36 , 9
25
56 , 3 4 .... 56 , 3 4 56 , 3 3 56 , 3 3 56 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
61 , 0
3744 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 93 , 2 39
, 3 (
) 23 , 0 16 , 3 ( )
23 , 0 16 , 3 (
) 25 / 61 , 0 . 96 . 1 ( 16 , 3 ( )
25 / 61 , 0 . 96 , 1 ( 16 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 2
Panelis
Formula
N1 N2 N3 N4
1 3 3 3 2
2 3 3 3 2
3 4 3 2 2
4 3 2 2 1
5 2 2 2 1
6 4 3 3 3
7 3 4 4 3
8 3 3 3 2
9 4 4 4 3
10 3 3 4 2
11 3 3 3 3
12 4 3 3 2
13 3 2 2 1
14 2 2 2 1
15 4 3 3 2
16 3 2 2 1
17 4 3 3 2
18 3 3 2 2
19 2 2 2 2
20 3 3 3 2
21 3 3 2 3
22 3 3 2 2
23 2 2 2 2
24 3 3 3 2
25 2 2 2 2
FormulaN1
•
n Xi X
n i
∑
==
04 , 3 25 76
25
2 .... 3 4 3 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4384 , 0
25 96 , 10
25
04 , 3 2 .... 04 , 3 3 04 , 3 4 04 , 3 3 04 , 3
3 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
66 , 0
4384 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 79 , 2 29
, 3 (
) 25 , 0 04 , 3 ( )
25 , 0 04 , 3 (
) 25 / 66 , 0 . 96 . 1 ( 04 , 3 ( )
25 / 66 , 0 . 96 , 1 ( 04 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
76 , 2 25 69
25
2 .... 2 3 3 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
3424 , 0
25 56 , 8
25
04 , 3 2 .... 04 , 3 2 04 , 3 3 04 , 3 3 04 , 3
3 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
58 , 0
3424 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 54 , 2 98
, 2 (
) 22 , 0 76 , 2 ( )
22 , 0 76 , 2 (
) 25 / 58 , 0 . 96 . 1 ( 76 , 2 ( )
25 / 58 , 0 . 96 , 1 ( 76 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
64 , 2 25 66
25
2 .... 2 2 3 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4704 , 0
25 76 , 11
25
64 , 2 2 .... 64 , 2 2 64 , 2 2 64 , 2 3 64 , 2
3 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
68 , 0
4704 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 38 , 2 9
, 2 (
) 26 , 0 64 , 2 ( )
26 , 0 64 , 2 (
) 25 / 68 , 0 . 96 . 1 ( 64 , 2 ( )
25 / 68 , 0 . 96 , 1 ( 64 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
2 25 50
25
2 .... 1 2 2 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
08 , 0
25 2
25
2 2 .... 2 2 2 2 2 3 2
3 2 2 2 2 2
= =
− + + − + − + − + − =
• S = S2
28 , 0
08 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 9 , 1 1
, 2 (
) 1 , 0 2 ( )
1 , 0 2 (
) 25 / 28 , 0 . 96 . 1 ( 2 ( )
25 / 28 , 0 . 96 , 1 ( 2 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
Minggu 3
Panelis
Formula
N1 N2 N3 N4
1 2 2 1 1
2 3 3 2 1
3 2 2 2 2
4 3 2 1 1
5 2 2 2 1
6 2 3 2 2
7 3 2 2 1
8 3 3 2 2
9 2 2 2 1
10 3 3 2 2
11 3 2 2 1
12 2 3 3 2
13 3 2 2 1
14 2 2 2 1
15 2 3 2 2
16 3 2 2 1
17 2 3 1 2
18 3 3 2 2
19 2 2 2 2
20 3 3 2 1
21 2 1 2 1
22 3 3 2 2
23 2 2 2 2
24 3 2 1 1
25 2 1 1 1
FormulaN1
•
n Xi X
n i
∑
==
48 , 2 25 62
25
2 .... 3 2 3 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
2496 , 0
25 24 , 6
25
48 , 2 2 .... 48 , 2 3 48 , 2 2 48 , 2 3 48 , 2
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
49 , 0
2496 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 29 , 2 67
, 2 (
) 19 , 0 48 , 2 ( )
19 , 0 48 , 2 (
) 25 / 49 , 0 . 96 . 1 ( 48 , 2 ( )
25 / 49 , 0 . 96 , 1 ( 48 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
32 , 2 25 58
25
1 .... 2 2 3 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
4298 , 0
25 745 , 10
25
32 , 2 1 .... 32 , 2 2 32 , 2 2 32 , 2 3 32 , 2
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• S = S2
65 , 0
4298 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 07 , 2 57
, 2 (
) 25 , 0 32 , 2 ( )
25 , 0 32 , 2 (
) 25 / 65 , 0 . 96 . 1 ( 32 , 2 ( )
25 / 65 , 0 . 96 , 1 ( 32 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
84 , 1 25 46
25
1 .... 1 2 2 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
2144 , 0
25 36 , 5
25
84 , 1 1 .... 84 , 1 1 84 , 1 2 84 , 1 2 84 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
46 , 0
2144 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 66 , 1 02
, 2 (
) 18 , 0 84 , 1 ( )
18 , 0 84 , 1 (
) 25 / 46 , 0 . 96 . 1 ( 84 , 1 ( )
25 / 46 , 0 . 96 , 1 ( 84 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ µ
µ
FormulaN4
•
n Xi X
n i
∑
==
44 , 1 25 36
25
1 .... 1 2 1 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2
2
(
) (
) (
) (
)
(
)
2464 , 0
25 61 , 6
25
44 , 1 1 .... 44 , 1 1 44 , 1 2 44 , 1 1 44 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2464 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 25 , 1 63
, 1 (
) 19 , 0 44 , 1 ( )
19 , 0 44 , 1 (
) 25 / 49 , 0 . 96 . 1 ( 44 , 1 ( )
25 / 49 , 0 . 96 , 1 ( 44 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 4
Panelis
Formula
N1 N2 N3 N4
1 2 2 1 1
2 1 1 1 1
3 1 1 2 1
4 2 2 1 1
5 1 2 2 1
6 2 1 1 1
7 1 1 2 1
8 2 1 1 1
9 1 2 2 1
10 2 1 1 1
11 1 1 2 1
12 2 1 1 1
13 1 2 2 1
14 2 1 1 1
15 1 1 1 2
16 1 2 1 1
17 1 1 1 2
18 2 1 2 2
19 2 2 2 2
20 1 1 1 1
21 1 1 2 1
22 2 1 2 2
23 1 2 1 1
24 2 1 1 1
25 2 1 1 1
Formula N1
•
n Xi X
n i
∑
==
48 , 1 25 37
25
2 .... 2 1 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2496 , 0
25 24 , 6
25
48 , 1 2 .... 48 , 1 2 48 , 1 1 48 , 1 1 48 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2496 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 29 , 1 67
, 1 (
) 19 , 0 48 , 1 ( )
19 , 0 48 , 1 (
) 25 / 49 , 0 . 96 . 1 ( 48 , 1 ( )
25 / 49 , 0 . 96 , 1 ( 48 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Formula N2
•
n Xi X
n i
∑
==
32 , 1 25 33
25
1 .... 2 1 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2176 , 0
25 44 , 5
25
32 , 1 1 .... 32 , 1 2 32 , 1 1 32 , 1 1 32 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
46 , 0
2176 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 14 , 1 5
, 1 (
) 18 , 0 32 , 1 ( )
18 , 0 32 , 1 (
) 25 / 46 , 0 . 96 . 1 ( 32 , 1 ( )
25 / 46 , 0 . 96 , 1 ( 32 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Formula N3
•
n Xi X
n i
∑
==
4 , 1 25 35
25
1 .... 1 2 1 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
24 , 0
25 6
25
4 , 1 1 .... 4 , 1 1 4 , 1 2 4 , 1 1 4 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
48 , 0
24 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 22 , 1 58
, 1 (
) 18 , 0 4 , 1 ( )
18 , 0 4 , 1 (
) 25 / 48 , 0 . 96 . 1 ( 4 , 1 ( )
25 / 48 , 0 . 96 , 1 ( 4 , 1 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
Formula N4
•
n Xi X
n i
∑
==
2 , 1 25 33
25
1 .... 1 1 1 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
16 , 0
25 4
25
2 , 1 1 .... 2 , 1 1 2 , 1 1 2 , 1 1 2 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
4 , 0
16 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 05 , 1 35
, 1 (
) 18 , 0 2 , 1 ( )
18 , 0 2 , 1 (
) 25 / 4 , 0 . 96 . 1 ( 2 , 1 ( )
25 / 4 , 0 . 96 , 1 ( 2 , 1 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
Minggu 1
Panelis
Formula
N1 N2 N3 N4
1 4 4 3 2
2 3 4 3 3
3 4 3 4 3
4 3 3 3 2
5 4 4 3 3
6 4 3 3 3
7 3 4 4 3
8 3 3 3 3
9 4 4 4 3
10 3 3 4 3
11 3 3 3 3
12 4 3 3 3
13 3 3 2 3
14 3 3 2 3
15 4 3 3 2
16 3 3 2 3
17 4 3 3 4
18 3 3 3 2
19 3 3 3 3
20 3 3 3 2
21 4 3 4 4
22 3 3 3 3
23 4 4 3 3
24 3 3 3 4
25 4 3 3 4
FormulaN1
•
n Xi X
n i
∑
==
44 , 3 25 86
25
4 .... 3 4 3 4
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2464 , 0
25 16 , 6
25
44 , 3 4 .... 44 , 3 3 44 , 3 4 44 , 3 3 44 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2464 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 25 , 3 63
, 3 (
) 19 , 0 44 , 3 ( )
19 , 0 44 , 3 (
) 25 / 49 , 0 . 96 . 1 ( 44 , 3 ( )
25 / 49 , 0 . 96 , 1 ( 44 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
24 , 3 25 81
25
3 .... 3 3 4 4
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
1824 , 0
25 56 , 4
25
24 , 3 3 .... 24 , 3 3 24 , 3 3 24 , 3 4 24 , 3
4 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
42 , 0
1824 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 08 , 3 4
, 3 (
) 16 , 0 24 , 3 ( )
16 , 0 24 , 3 (
) 25 / 42 , 0 . 96 . 1 ( 24 , 3 ( )
25 / 42 , 0 . 96 , 1 ( 24 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
08 , 3 25 77
25
3 .... 3 4 3 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
449 , 0
25 2256 , 11
25
08 , 3 3 .... 08 , 3 3 08 , 3 4 08 , 3 3 08 , 3
3 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
67 , 0
449 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 82 , 2 34
, 3 (
) 26 , 0 08 , 3 ( )
26 , 0 08 , 3 (
) 25 / 67 , 0 . 96 . 1 ( 08 , 3 ( )
25 / 67 , 0 . 96 , 1 ( 08 , 3 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
96 , 2 25 74
25
2 .... 3 3 3 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
3584 , 0
25 96 , 8
25
96 , 2 2 .... 96 , 2 3 96 , 2 3 96 , 2 3 96 , 2
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
59 , 0
3584 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 73 , 2 19
, 3 (
) 23 , 0 96 , 2 ( )
23 , 0 96 , 2 (
) 25 / 59 , 0 . 96 . 1 ( 96 , 2 ( )
25 / 59 , 0 . 96 , 1 ( 96 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 2
Panelis
Formula
N1 N2 N3 N4
1 3 2 2 2
2 2 3 2 1
3 2 2 2 2
4 3 3 2 2
5 2 2 2 2
6 3 3 2 2
7 2 2 2 1
8 3 3 2 2
9 2 2 2 1
10 3 2 2 2
11 2 2 2 1
12 2 3 3 2
13 3 2 2 2
14 2 2 2 1
15 2 3 2 2
16 3 2 2 2
17 2 3 2 2
18 3 2 2 2
19 2 2 2 2
20 3 3 2 2
21 2 2 2 1
22 3 3 2 2
23 3 2 2 2
24 2 2 2 1
25 2 2 2 1
FormulaN1
•
n Xi X
n i
∑
==
44 , 2 25 61
25
2 .... 3 2 2 3
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2464 , 0
25 16 , 6
25
44 , 2 2 .... 44 , 2 3 44 , 2 2 44 , 2 2 44 , 2
3 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2464 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 25 , 2 63
, 2 (
) 19 , 0 44 , 2 ( )
19 , 0 44 , 2 (
) 25 / 49 , 0 . 96 . 1 ( 44 , 2 ( )
25 / 49 , 0 . 96 , 1 ( 44 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
36 , 2 25 59
25
2 .... 3 2 3 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2304 , 0
25 76 , 5
25
36 , 2 2 .... 36 , 2 3 36 , 2 2 36 , 2 3 36 , 2
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
48 , 0
2304 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 18 , 2 54
, 2 (
) 18 , 0 36 , 2 ( )
18 , 0 36 , 2 (
) 25 / 48 , 0 . 96 . 1 ( 36 , 2 ( )
25 / 48 , 0 . 96 , 1 ( 36 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
04 , 2 25 51
25
2 .... 2 2 2 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
0384 , 0
25 96 , 0
25
04 , 2 2 .... 04 , 2 2 04 , 2 2 04 , 2 2 04 , 2
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
19 , 0
0384 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 96 , 1 11
, 2 (
) 074 , 0 04 , 2 ( )
074 , 0 04 , 2 (
) 25 / 19 , 0 . 96 . 1 ( 04 , 2 ( )
25 / 19 , 0 . 96 , 1 ( 04 , 2 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
68 , 1 25 42
25
1 .... 2 2 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2176 , 0
25 44 , 5
25
68 , 1 1 .... 68 , 1 2 68 , 1 2 68 , 1 1 68 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
46 , 0
2176 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 5 , 1 86
, 1 (
) 18 , 0 68 , 1 ( )
18 , 0 68 , 1 (
) 25 / 46 , 0 . 96 . 1 ( 68 , 1 ( )
25 / 46 , 0 . 96 , 1 ( 68 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
Minggu 3
Panelis
Formula
N1 N2 N3 N4
1 2 2 1 1
2 1 1 1 1
3 2 2 1 2
4 2 1 1 1
5 1 2 2 1
6 2 1 1 1
7 2 2 1 1
8 2 1 1 1
9 1 1 2 1
10 1 1 1 1
11 1 1 2 1
12 2 1 1 1
13 1 2 2 1
14 2 1 1 1
15 1 1 1 2
16 1 2 1 1
17 2 1 1 2
18 2 1 2 2
19 2 2 2 1
20 1 1 1 1
21 1 2 1 2
22 2 1 1 1
23 1 2 1 1
24 1 1 1 1
25 1 1 1 1
FormulaN1
•
n Xi X
n i
∑
==
48 , 1 25 37
25
1 .... 2 2 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2496 , 0
25 24 , 6
25
48 , 1 1 .... 48 , 1 2 48 , 1 2 48 , 1 1 48 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
49 , 0
2496 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 29 , 1 67
, 1 (
) 19 , 0 48 , 1 ( )
19 , 0 48 , 1 (
) 25 / 49 , 0 . 96 . 1 ( 48 , 1 ( )
25 / 49 , 0 . 96 , 1 ( 48 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN2
•
n Xi X
n i
∑
==
36 , 1 25 34
25
1 .... 1 2 1 2
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
2304 , 0
25 76 , 5
25
48 , 1 1 .... 48 , 1 1 48 , 1 2 48 , 1 1 36 , 1
2 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
48 , 0
2304 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 18 , 1 54
, 1 (
) 18 , 0 36 , 1 ( )
18 , 0 36 , 1 (
) 25 / 48 , 0 . 96 . 1 ( 36 , 1 ( )
25 / 48 , 0 . 96 , 1 ( 36 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN3
•
n Xi X
n i
∑
==
24 , 1 25 31
25
1 .... 1 1 1 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
1824 , 0
25 56 , 4
25
24 , 1 1 .... 24 , 1 1 24 , 1 1 24 , 1 1 24 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
42 , 0
1824 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 08 , 1 4
, 1 (
) 16 , 0 24 , 1 ( )
16 , 0 24 , 1 (
) 25 / 42 , 0 . 96 . 1 ( 24 , 1 ( )
25 / 42 , 0 . 96 , 1 ( 24 , 1 (
≤ ≤
+ ≤
≤ −
− ≤
≤ −
µ
µ
µ
FormulaN4
•
n Xi X
n i
∑
==
2 , 1 25 30
25
1 .... 1 2 1 1
= =
+ + + + + =
•
(
)
n X Xi S
n i
∑
−=
2 2
(
) (
) (
) (
)
(
)
16 , 0
25 4
25
2 , 1 1 .... 2 , 1 1 2 , 1 2 2 , 1 1 2 , 1
1 2 2 2 2 2
= =
− + + −
+ −
+ −
+ −
=
• 2
S S =
4 , 0
16 , 0
= =
S S
• P(X −(1,96.S/ n)≤µ ≤(X −(1,96.S/ n)
) 05 , 1 35
, 1 (
) 16 , 0 2 , 1 ( )
16 , 0 2 , 1 (
) 25 / 4 , 0 . 96 . 1 ( 2 , 1 ( )
25 / 4 , 0 . 96 , 1 ( 2 , 1 (
≤ ≤
+ ≤ ≤ −
− ≤ ≤ −
µ µ
µ
