Formulasi Gel Pengharum Ruangan dengan Pewangi Minyak Mawar dan Fiksatif Minyak Akar Wangi
LAMPIRAN
Lampiran 1. Bagan alir pembuatan basis gel pengharum ruangan
Akuades
Dipanaskan sampai suhu 750C
Karagenan,
Agar-Agar,
Natrium
benzoat
Diaduk hingga homogen
Diturunkan suhu hingga 650 C
Diaduk hingga homogen
Propilen glikol
Dituangkan dalam cetakan
Dibiarkan pada suhu ruangan hingga
mengeras
Bentuk sediaan gel
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Lampiran 2. Bagan alir pembuatan gel pengharum ruangan
Akuades
Dipanaskan sampai suhu 750C
Karagenan,
Agar agar,
Natrium
benzoat
Diaduk hingga homogen
Diturunkan suhu hingga 650 C
Diaduk hingga homogen
Propilen glikol
Minyak mawar,
miyak akar wangi
Diaduk hingga homogen
Dituangkan dalam cetakan
Dibiarkan pada suhu ruangan hingga
mengeras
Gel pengharum ruangan
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Lampiran 3. Lembar penilaian uji kesukaan
Lembar Penilaian Uji Kesukaan (Hedonic Test)
Nama :
Umur :
instruksi : berikan pendapat anda tentang aroma wangi sedian gel pengharum
ruangan yang diuji, kemudian berilah tanda centang () pada salah satu
kolom (SS/S/CS/KS/TS) yang tersedia.
Penilaian
Sediaan
SS
S
CS
KS
TS
1%
1,5%
2%
2,5%
Keterangan :
Nilai 5 = Sangat Suka (SS)
Nilai 4 = Suka (S)
Nilai 3 = Cukup Suka (CS)
Nilai 2 = Kurang Suka (KS)
Nilai 1 = Tidak Suka (TS)
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Lampiran 4. Lembar penilaian uji ketahanan wangi
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/SKW/KW/SGW/TW) yang tersedia.
Penilaian
Sediaan
SW
SKW
KW
SGW
TW
1%
1,5%
2%
2,5%
Keterangan :
Nilai 5 = Sama Wangi(SW)
Nilai 4 = Sedikit Kurang Wangi (SKW)
Nilai 3 = Kurang Wangi (KW)
Nilai 2 = Sangat Kurang Wangi (SGW)
Nilai 1 = Tidak Wangi (TW)
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Lampiran 5.Gambar minyak mawar
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Lampiran 6.Gambar minyak akar wangi
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Lampiran 7.Rumus perhitungan nilai uji kestabilan gel
(%) Sineresis =
M 0 − Mi
M0
x 100%
Keterangan: M0 = berat mula mula
Mi = berat akhir
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Lampiran 7. (Lanjutan)
Formula B1
Sineresis (%) =
44,67-44,24
44,67
x 100%
= 0,96
Formula B2
Sineresis (%) =
43,81-43,30
43,81
x 100%
= 1,16
Formula B3
Sineresis (%) =
45,27-44,46
45,27
x 100%
= 1,78
Formula B4
Sineresis (%) =
46,15-45,56
46,15
x 100%
= 2,10
Formula B5
Sineresis (%) =
46,55-45,56
46,55
x 100%
= 2,12
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Lampiran 8.Rumus perhitungan nilai uji kesukaan
Untuk menghitung nilai kesukaan rata-rata dari setiap panelis digunakan
rumus sebagai berikut:
•
•
P ( X − (1,96.S / n )) ≤ µ ≤ ( X + (1,96.S / n )) ≅ 95%
∑ = Xi
X =
n
i
∑ (Xi − X )
=
n
•
S
•
S = S2
2
n
2
i
n
Keterangan :
n
: Banyak panelis
S2
: Keseragaman nilai kesukaan
1,96 : Koefisien standar deviasi pada taraf 95%
: Nilai kesukaan rata-rata
X
Xi
: Nilai dari panelis ke i, dimana i = 1,2,3,…,n
S
: Simpangan baku nilai kesukaan
P
: Tingkat kepercayaan
µ
: Rentang nilai
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Lampiran 8.(Lanjutan)
Formula
Panelis
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Jumlah
F1
4
4
4
4
4
4
4
5
3
5
1
2
4
4
4
4
4
3
4
4
4
4
4
5
5
97
F2
3
4
3
4
4
2
4
4
3
4
2
2
4
3
4
4
4
3
4
4
4
3
3
3
3
85
F3
4
4
2
4
5
3
4
4
3
3
2
2
3
2
3
3
3
2
3
3
3
2
3
3
3
76
F4
4
4
4
4
3
4
4
3
3
2
3
1
3
2
2
3
2
1
4
3
2
2
4
3
2
72
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Lampiran 8.(Lanjutan)
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
97
= 3,88
25
S
2
∑ (Xi − X )
=
2
n
=
=
i
n
(5 − 3,88)2 + (4 − 3,88)2 + (3 − 3,88) 2 + (2 − 3,88)2 + (1 − 3,88)2
25
13,85
25
= 0,64
•
S = S2
S = 0,55
S = 0,74
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,88 − (1,96.0,74 / 25 ) ≤ µ ≤ (3,88 + (1.96.0,74 / 25
P(3,88 − 0,29) ≤ µ ≤ (3,88 + 0,29)
P(3,59 ≤ µ ≤ 4,17)
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Formula F2 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
85
= 3,4
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
4 − 3,4 ) + (3 − 3,4 ) + (2 − 3,4 )
=
=
25
12
25
= 0,48
•
S = S2
S = 0,48
S = 0,7
• P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,8 − (1,96.0,8 / 25 ) ≤ µ ≤ (3,8 + (1.96.0,8 / 25
P (3,4 − 0,14) ≤ µ ≤ (3,4 + 0,14)
P (3,1 ≤ µ ≤ 4,7)
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Formula F3 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
76
= 3,04
25
S
2
∑ (Xi − X )
=
2
n
i
(5 − 3,04)
=
=
n
2
)
+ (4 − 3,04 + (3 − 3,04) + (2 − 3,04)
25
2
2
2
14,5
25
= 0,60
•
S = S2
S = 0,60
S = 0,77
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,04 − (1,96.0,77 / 25 ) ≤ µ ≤ (3,04 + (1.96.0,77 / 25
P (3,04 − 0,31) ≤ µ ≤ (3,04 + 0,31)
P (2,7 ≤ µ ≤ 3,3)
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Formula F4 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
72
= 2,88
25
S
2
∑ (Xi − X )
=
2
n
i
(4 − 2,88)
=
=
n
2
)
+ (3 − 2,88 + (2 − 2,88) + (1 − 2,88)
25
2
2
2
22,50
25
= 0,90
•
S = S2
S = 0,90
S = 0,95
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,88 − (1,96.0,95 / 25 ) ≤ µ ≤ (2,88 + (1.96.0,95 / 25
P(2,88 − 0,37) ≤ µ ≤ (2,88 + 0,37)
P(2,5 ≤ µ ≤ 3,2)
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Lampiran 9.Rumus perhitungan persentase penguapan zat cair
% penguapan zat cair =
zat cair menguap (M0 - Mn)
x 100%
bobot minyak + bobot akuades
Keterangan:
M0: Berat gel mula-mula
Mn: Berat gel minggu ke-n
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Lampiran 9. (Lanjutan)
Formula F1
Minggu 1
Persen total penguapan zat cair =
3,421
x 100%=8,182%
41,811
Persen total penguapan zat cair =
6,842
x100%=16,364%
41,811
Minggu 2
Minggu 3
Persen total penguapan zat cair =
10,263
x100%=24,546%
41,811
Persen total penguapan zat cair =
13,684
x100%=32,728%
41,811
Minggu 4
Formula F2
Minggu 1
Persen total penguapan zat cair =
3,835
x100%=9,56%
40,109
Minggu 2
Persen total penguapan zat cair =
7,670
x100%=19,123%
40,109
Persen total penguapan zat cair =
11,505
x100%=28,684%
40,109
Persen total penguapan zat cair =
15,340
x100%=38,245%
40,109
Minggu 3
Minggu 4
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Formula F3(Lanjutan)
Minggu 1
Persen total penguapan zat cair =
4,412
x100%=10,786%
40,906
Persen total penguapan zat cair =
8,824
x100%=21,571%
40,906
Persen total penguapan zat cair =
13,236
x100%=32,357%
40,906
Persen total penguapan zat cair=
17,648
x100%=43,143%
40,906
Persen total penguapan zat cair=
5,197
x100%=12,287%
42,295
Persen total penguapan zat cair=
10,394
x100%=24,575%
42,295
Persen total penguapan zat cair=
15,591
x100%=36,862%
42,295
Persen total penguapan zat cair=
20,788
x100%=49,150%
42,295
Minggu 2
Minggu 3
Minggu 4
Formula 4
Minggu 1
Minggu 2
Minggu 3
Minggu 4
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Lampiran9.(Lanjutan)
Ruangan AC
Formula F1
Minggu 1
Persen total penguapan zat cair=
4,837
x100%=11,387%
42,478
Persen total penguapan zat cair=
9,374
x100%=22,068%
42,478
Persen total penguapan zat cair=
14,011
x100%=32,984%
42,478
Persen total penguapan zat cair=
18,891
x100%=44,472%
42,478
Persen total penguapan zat cair=
5,422
x100%=12,061%
41,456
Persen total penguapan zat cair=
10,842
x100%=26,153%
41,456
Minggu 2
Minggu 3
Minggu 4
Formula F2
Minggu 1
Minggu 2
Minggu 3
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Persen total penguapan zat cair=
16,343
x100%=39,422%
41,456
Persen total penguapan zat cair=
21,563
x100%=52,014%
41,456
Minggu 4
Formula F3 (Lanjutan)
Minggu 1
Persen total penguapan zat cair=
6,093
x100%=14,380%
42,369
Persen total penguapan zat cair=
12,186
x100%=28,761%
42,369
Persen total penguapan zat cair=
19,069
x100%=45,007%
42,369
Minggu 2
Minggu 3
Minggu 4
Persen total penguapan zat cair=
25,393
x100%=59,932
42,369
Formula F4
Minggu 1
Persen total penguapan zat cair=
6,536
%=15,507%
42,147
Persen total penguapan zat cair=
13,07
%=31,010%
42,147
Minggu 2
Minggu 3
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Persen total penguapan zat cair=
19,622
%=46,556%
42,147
Persen total penguapan zat cair=
26,162
%=62,073%
42,147
Minggu 4
Lampiran 9. (Lanjutan)
Ruangan Kipas
Formula F1
Minggu 1
Persen total penguapan zat cair=
8,119
%=19,417%
41,814
Minggu 2
Persen total penguapan zat cair=
16,22
%=38,79%
41,814
Minggu 3
Persen total penguapan zat cair=
24,343
%=58,217%
41,814
Persen total penguapan zat cair=
32,392
%=77,467%
41,814
Minggu 4
Formula F2
Minggu 1
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Persen total penguapan zat cair=
8,647
%=20,698%
41,775
Persen total penguapan zat cair=
17,287
%=41,381%
41,775
Persen total penguapan zat cair=
25,931
%=62,073%
41,775
Persen total penguapan zat cair=
34,551
%=82,707%
41,775
Minggu 2
Minggu 3
Minggu 4
Formula F3 (Lanjutan)
Minggu 1
Persen total penguapan zat cair=
8,88
%=21,670%
40,978
Persen total penguapan zat cair=
17,755
%=43,328%
40,978
Minggu 2
Minggu 3
Persen total penguapan zat cair=
26,669
%=65,081%
40,978
Minggu 4
Persen total penguapan zat cair=
35,525
%=86,692%
40,978
Formula F4
Minggu 1
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Persen total penguapan zat cair=
9,9
%=23,407%
42,295
Persen total penguapan zat cair=
19,114
%=45,192%
42,295
Persen total penguapan zat cair=
28,635
%=67,703%
42,295
Persen total penguapan zat cair=
37,967
%=89,767%
42,292
Minggu 2
Minggu 3
Minggu 4
Lampiran 10.Hasil uji ketahanan wangi pada ruangan biasa
Minggu 1
Formula
Panelis
F1
F2
F3
1
5
4
5
2
5
4
5
3
4
4
4
4
5
4
4
5
5
5
3
6
5
4
4
7
4
5
3
8
5
5
3
9
5
5
4
10
4
4
4
11
5
5
4
F4
4
4
5
4
3
5
3
4
3
4
3
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12
5
4
4
13
5
5
4
14
4
5
3
15
4
5
3
16
4
4
5
17
4
4
4
18
5
5
4
19
5
5
3
20
5
4
3
21
5
4
3
22
5
4
4
23
5
5
4
24
5
4
5
25
5
5
5
Jumlah
118
112
97
3
5
4
4
3
3
3
4
4
4
3
3
4
4
93
Lampiran 10.(Lanjutan)
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
118
= 4,72
25
∑ (Xi − X )
=
2
n
S2
i
n
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=
=
(5 − 4,72)
2
+ (4 − 4,72
25
)
2
5,08
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,72 − (1,96.0,45 / 25 ) ≤ µ ≤ (4,72 + (1.96.0,45 / 25
P (4,72 − 0,18) ≤ µ ≤ (4,72 + 0,18)
P(4,54 ≤ µ ≤ 4,9)
Formula F2 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
112
= 4,48
25
S
2
∑ (Xi − X )
=
2
n
i
n
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=
=
(5 − 4,48)
2
+ (4 − 4,48
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,5
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,48 − (1,96.0,5 / 25 ) ≤ µ ≤ (4,48 + (1.96.0,5 / 25
P(4,48 − 0,20) ≤ µ ≤ (4,48 + 0,20)
P(4,28 ≤ µ ≤ 4,68)
Formula F3 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
•
97
= 3,88
25
∑ (Xi − X )
=
2
n
S2
i
n
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=
=
(5 − 3,88)
2
)
+ (4 − 3,88 + (3 − 3,88)2
25
2
12,53
25
= 0,50
•
S = S2
S = 0,50
S = 0,71
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,88 − (1,96.0,71 / 25 ) ≤ µ ≤ (3,88 + (1.96.0,71 / 25
P (3,88 − 0,28) ≤ µ ≤ (3,88 + 0,28)
P (3,60 ≤ µ ≤ 4,16)
Formula F4 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
•
93
= 3,72
25
∑ (Xi − X )
=
2
n
S2
i
n
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=
=
(5 − 3,72)
2
)
+ (4 − 3,72 + (3 − 3,72)2
25
2
11,08
25
= 0,44
•
S = S2
S = 0,44
S = 0,66
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,72 − (1,96.0,66 / 25 ) ≤ µ ≤ (3,72 + (1.96.0,66 / 25
P(3,72 − 0,26) ≤ µ ≤ (3,72 + 0,26)
P(3,46 ≤ µ ≤ 3,98)
Lampiran 10.(Lanjutan)
Minggu 2
Formula
Panelis
N1
N2
N3
1
5
3
3
2
4
3
3
3
4
3
4
4
4
3
3
N4
2
2
2
2
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5
4
4
3
6
4
3
4
7
4
3
3
8
4
3
3
9
5
4
3
10
5
4
3
11
5
3
4
12
4
4
4
13
4
3
4
14
4
4
3
15
4
3
3
16
4
3
3
17
4
3
3
18
4
4
3
19
4
4
3
20
5
4
3
21
5
4
4
22
4
3
4
23
4
3
4
24
4
4
3
25
5
4
4
Jumlah
107
86
84
2
3
3
2
2
3
2
3
3
3
2
3
2
3
3
3
2
2
3
3
2
62
Lampiran 10.(Lanjutan)
Formula F1
•
∑ = Xi
X =
n
i
n
=
107
= 4,28
25
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∑ (Xi − X )
=
2
n
•
S
2
i
n
(5 − 4,28)
=
=
2
+ (4 − 4,28
25
)
2
5,04
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,28 − (1,96.0,45 / 25 ) ≤ µ ≤ (34,28 + (1.96.0,45 / 25
P (4,28 − 0,18) ≤ µ ≤ (4,28 + 0,18)
P(4,10 ≤ µ ≤ 4,46)
Formula F2 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
86
= 3,44
25
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•
∑ (Xi − X )
=
2
n
S
2
i
(4 − 3,44)
=
=
n
2
+ (3 − 3,44
25
)
2
6,07
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,44 − (1,96.0,49 / 25 ) ≤ µ ≤ (3,44 + (1.96.0,49 / 25
P(3,44 − 0,19) ≤ µ ≤ (3,44 + 0,19)
P(3,25 ≤ µ ≤ 3,63)
Formula F3 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
84
= 3,36
25
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•
∑ (Xi − X )
=
2
n
S
2
i
(4 − 3,36)
=
=
n
2
+ (3 − 3,36
25
)
2
5,77
25
= 0,23
•
S = S2
S=
0,23
S = 0,48
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,36 − (1,96.0,48 / 25 ) ≤ µ ≤ (3,44 + (1.96.0,48 / 25
P (3,36 − 0,19) ≤ µ ≤ (3,36 + 0,19)
P(3,17 ≤ µ ≤ 3,55)
Formula F4 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
62
= 2,48
25
73
Universitas Sumatera Utara
•
∑ (Xi − X )
=
2
n
S
2
i
n
(3 − 2,48)
=
=
2
+ (2 − 2,48
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,48 − (1,96.0,50 / 25 ) ≤ µ ≤ (2,48 + (1.96.0,50 / 25
P(2,48 − 0,20) ≤ µ ≤ (2,48 + 0,20)
P(2,28 ≤ µ ≤ 2,68)
Lampiran 10.(Lanjutan)
Minggu 3
Formula
Panelis
1
N1
N2
N3
3
3
2
N4
2
74
Universitas Sumatera Utara
2
2
3
3
2
3
3
3
2
4
3
3
2
5
3
3
3
6
3
2
2
7
4
2
2
8
3
2
3
9
4
3
2
10
3
3
2
11
4
2
2
12
4
2
3
13
3
3
2
14
3
2
3
15
3
2
3
16
4
2
3
17
4
3
2
18
4
2
2
19
2
2
3
20
3
2
2
21
4
3
2
22
4
3
2
23
2
3
3
24
3
2
3
25
4
2
3
Jumlah
83
62
60
2
2
2
2
2
2
2
3
3
2
3
3
3
2
3
2
2
3
3
1
3
3
1
58
Lampiran 10.(Lanjutan)
Formula F1
•
∑ = Xi
X =
n
i
n
75
Universitas Sumatera Utara
=
•
83
= 3,32
25
∑ (Xi − X )
=
2
n
S2
i
(4 − 3,32)
=
=
n
2
)
+ (3 − 3,32 + (2 − 3,32)2
25
2
9,4
25
= 0,38
•
S = S2
S = 0,38
S = 0,62
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,32 − (1,96.0,62 / 25 ) ≤ µ ≤ (3,32 + (1.96.0,62 / 25
P(3,32 − 0,24) ≤ µ ≤ (3,32 + 0,24)
P(3,08 ≤ µ ≤ 3,56)
Formula F2 (Lanjutan)
•
∑ = Xi
X =
n
i
n
76
Universitas Sumatera Utara
=
•
62
= 2,48
25
∑ (Xi − X )
=
2
n
S2
i
n
(3 − 2,48)
=
=
2
+ (2 − 2,48
25
)
2
6,24
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,48 − (1,96.0,50 / 25 ) ≤ µ ≤ (2,48 + (1.96.0,50 / 25
P(2,48 − 0,19) ≤ µ ≤ (2,48 + 0,19)
P(2,29 ≤ µ ≤ 2,67)
Formula F3 (Lanjutan)
•
∑ = Xi
X =
n
i
n
77
Universitas Sumatera Utara
=
•
60
= 2,40
25
∑ (Xi − X )
=
2
n
S2
i
n
(3 − 2,40)
=
=
2
+ (2 − 2,40
25
)
2
6,00
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,40 − (1,96.0,49 / 25 ) ≤ µ ≤ (2,40 + (1.96.0,49 / 25
P(2,48 − 0,19) ≤ µ ≤ (2,48 + 0,19)
P(2,29 ≤ µ ≤ 2,67)
Formula F4 (Lanjutan)
•
∑ = Xi
X =
n
i
n
78
Universitas Sumatera Utara
=
•
58
= 2,32
25
∑ (Xi − X )
=
2
n
S2
i
(3 − 2,32)
=
=
n
2
)
+ (2 − 2,32 + (1 − 2,32)2
25
2
9,4
25
= 0,38
•
S = S2
S = 0,38
S = 0,62
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,32 − (1,96.0,62 / 25 ) ≤ µ ≤ (2,32 + (1.96.0,62 / 25
P (2,32 − 0,24) ≤ µ ≤ (2,32 + 0,24)
P(2,08 ≤ µ ≤ 2,56)
Lampiran 10.(Lanjutan)
Minggu 4
Formula
Panelis
79
Universitas Sumatera Utara
N1
N2
N3
1
2
1
1
2
1
1
1
3
1
1
1
4
1
1
1
5
1
1
1
6
2
1
1
7
3
1
1
8
1
2
2
9
2
1
1
10
1
2
1
11
2
1
2
12
1
2
2
13
2
1
1
14
2
1
1
15
1
1
1
16
1
1
1
17
2
2
2
18
1
2
1
19
2
2
2
20
1
1
2
21
2
1
1
22
2
1
2
23
1
1
1
24
1
1
1
25
1
2
1
Jumlah
37
35
32
N4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
28
Lampiran 10.(Lanjutan)
Formula F1
80
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
37
= 1,48
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
2
(
3 − 1,48) + (2 − 1,48) + (1 − 1,48)
=
25
=
8,23
25
= 0,33
•
S = S2
S = 0,33
S = 0,57
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,48 − (1,96.0,57 / 25 ) ≤ µ ≤ (1,48 − (1.96.0,57 / 25
P(1,48 − 0,22) ≤ µ ≤ (1,48 + 0,22)
P(1,26 ≤ µ ≤ 1,7)
Formula F2 (Lanjutan)
81
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
35
= 1,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
2
(
3 − 1,40 ) + (2 − 1,40 ) + (1 − 1,40 )
=
25
=
8,00
25
= 0,32
•
S = S2
S = 0,32
S = 0,56
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,40 − (1,96.0,56 / 25 ) ≤ µ ≤ (1,40 − (1.96.0,56 / 25
P(1,40 − 0,22) ≤ µ ≤ (1,40 + 0,22)
P(1,18 ≤ µ ≤ 1,62)
Formula F3 (Lanjutan)
82
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
32
= 1,28
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,28) + (1 − 1,28)
=
25
=
5,08
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,28 − (1,96.0,45 / 25 ) ≤ µ ≤ (1,28 − (1.96.0,45 / 25
P(1,28 − 0,18) ≤ µ ≤ (1,28 + 0,18)
P(1,10 ≤ µ ≤ 1,46)
Formula F4 (Lanjutan)
83
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
28
= 1,12
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,12) + (1 − 1,12)
=
25
=
2,53
25
= 0,10
•
S = S2
S = 0,10
S = 0,32
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,12 − (1,96.0,32 / 25 ) ≤ µ ≤ (1,12 − (1.96.0,32 / 25
P(1,12 − 0,13) ≤ µ ≤ (1,12 + 0,13)
P(0,99 ≤ µ ≤ 1,25)
Lampiran 10.(Lanjutan)
84
Universitas Sumatera Utara
Minggu 1
Formula
Panelis
N1
N2
N3
1
4
5
4
2
4
5
4
3
4
5
5
4
5
4
4
5
5
4
4
6
4
5
4
7
4
4
5
8
5
5
4
9
5
4
5
10
5
5
4
11
5
5
4
12
4
5
4
13
5
5
4
14
4
4
4
15
4
4
5
16
4
4
3
17
4
4
3
18
5
5
3
19
5
5
3
20
5
5
3
21
5
4
3
22
4
4
4
23
4
4
3
24
5
4
4
25
5
4
3
Jumlah
113
112
97
N4
5
3
3
3
5
3
3
3
4
4
3
4
4
3
4
3
4
4
3
3
4
4
4
5
4
92
Lampiran 10.(Lanjutan)
85
Universitas Sumatera Utara
Formula 1
•
•
∑ = Xi
X =
n
i
n
=
113
= 4,52
25
S
2
∑ (Xi − X )
=
2
n
i
n
(5 − 4,52)
=
=
2
+ (4 − 4,52
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,52 − (1,96.0,50 / 25 ) ≤ µ ≤ (4,52 + (1.96.0,50 / 25
P (4,52 − 0,10) ≤ µ ≤ (4,52 + 0,10)
P(4,42 ≤ µ ≤ 4,62)
Formula 2 (Lanjutan)
86
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
112
= 4,48
25
S
2
∑ (Xi − X )
=
2
n
i
n
(5 − 4,48)
=
=
2
+ (4 − 4,48
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,48 − (1,96.0,50 / 25 ) ≤ µ ≤ (4,48 + (1.96.0,50 / 25
P(4,48 − 0,19) ≤ µ ≤ (4,48 + 0,19)
P(4,29 ≤ µ ≤ 4,67)
Formula 3 (Lanjutan)
87
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
97
= 3,88
25
S
2
∑ (Xi − X )
=
2
n
i
(5 − 3,88)
=
=
n
2
)
+ (4 − 3,88 + (3 − 3,88)2
25
2
10,53
25
= 0,42
•
S = S2
S = 0,42
S = 0,65
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,88 − (1,96.0,65 / 25 ) ≤ µ ≤ (3,88 + (1.96.0,65 / 25
P(3,88 − 0,25) ≤ µ ≤ (3,88 + 0,25)
P(3,63 ≤ µ ≤ 4,13)
Formula 4 (Lanjutan)
88
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
92
= 3,68
25
∑ (Xi − X )
=
2
n
S
2
i
(5 − 3,88)
=
=
n
2
) (
+ (4 − 3,88 + 3 − 3,88) 2
25
2
)
11,38
25
= 0,46
•
S = S2
S = 0,46
S = 0,68
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,68 − (1,96.0,68 / 25 ) ≤ µ ≤ (3,68 + (1.96.0,68 / 25
P(3,68 − 0,27) ≤ µ ≤ (3,68 + 0,27)
P(3,41 ≤ µ ≤ 3,95)
Lampiran 10.(Lanjutan)
89
Universitas Sumatera Utara
Minggu 2
Formula
Panelis
N1
N2
N3
1
4
3
3
2
4
3
3
3
4
3
3
4
4
4
3
5
4
4
3
6
4
3
3
7
4
3
3
8
4
3
3
9
4
4
3
10
5
3
3
11
4
4
3
12
5
3
3
13
4
3
3
14
5
3
3
15
4
3
3
16
5
4
4
17
4
4
4
18
4
3
3
19
5
3
3
20
5
3
4
21
4
3
4
22
4
3
3
23
4
3
3
24
5
3
3
25
5
4
4
Jumlah
108
82
80
N4
3
2
2
2
3
2
3
2
2
2
3
3
3
2
2
2
2
3
3
2
3
2
3
2
2
60
Lampiran 10.(Lanjutan)
90
Universitas Sumatera Utara
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
108
= 4,32
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 4,32 ) + (4 − 4,32 ) + (1 − 1,40 )
=
25
=
5,40
25
= 0,22
•
S = S2
S = 0,22
S = 0,47
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,32 − (1,96.0,47 / 25 ) ≤ µ ≤ (4,32 − (1.96.0,47 / 25
P (4,32 − 0,18) ≤ µ ≤ (4,32 + 0,18)
P(4,14 ≤ µ ≤ 4,50)
Formula F2 (Lanjutan)
91
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
82
= 3,28
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
(
4 − 3,28) + (3 − 3,28)
=
25
=
5,05
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,28 − (1,96.0,45 / 25 ) ≤ µ ≤ (3,28 − (1.96.0,45 / 25
P(3,28 − 0,18) ≤ µ ≤ (3,28 + 0,18)
P(3,10 ≤ µ ≤ 3,46)
Formula F3 (Lanjutan)
92
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
80
= 3,20
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
(
4 − 3,20 ) + (3 − 3,20 )
=
25
=
4,00
25
= 0,16
•
S = S2
S = 0,16
S = 0,40
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,20 − (1,96.0,40 / 25 ) ≤ µ ≤ (3,20 − (1.96.0,40 / 25
P(3,20 − 0,16) ≤ µ ≤ (3,20 + 0,16)
P(3,04 ≤ µ ≤ 3,36)
Formula F4 (Lanjutan)
93
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
60
= 2,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
(3 − 2,40)
=
=
2
+ (2 − 2,40
25
)
2
6,00
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,40 − (1,96.0,49 / 25 ) ≤ µ ≤ (2,40 + (1.96.0,49 / 25
P(2,40 − 0,19) ≤ µ ≤ (2,40 + 0,19)
P(2,21 ≤ µ ≤ 2,59)
Lampiran 10.(Lanjutan)
94
Universitas Sumatera Utara
Minggu 3
Formula
Panelis
N1
N2
N3
1
3
3
3
2
3
3
2
3
3
3
2
4
3
3
3
5
3
3
3
6
3
3
2
7
3
3
2
8
3
3
3
9
3
3
3
10
3
3
3
11
3
3
3
12
3
3
2
13
4
2
3
14
3
3
2
15
4
2
3
16
4
3
3
17
3
2
2
18
3
3
2
19
3
3
2
20
4
2
2
21
4
2
2
22
2
3
2
23
4
3
2
24
2
3
2
25
4
2
2
Jumlah
80
70
60
N4
3
2
3
1
2
3
1
3
3
2
3
3
2
2
3
3
2
2
3
2
2
2
2
2
2
58
Lampiran 10.(Lanjutan)
95
Universitas Sumatera Utara
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
80
= 3,20
25
S
2
∑ (Xi − X )
=
2
n
i
(4 − 3,20)
=
=
n
2
) (
+ (3 − 3,20 + 2 − 3,20) 2
25
2
)
7,96
25
= 0,32
•
S = S2
S = 0,32
S = 0,57
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,20 − (1,96.0,57 / 25 ) ≤ µ ≤ (3,20 + (1.96.0,57 / 25
P(3,20 − 0,22) ≤ µ ≤ (3,68 + 0,22)
P(2,98 ≤ µ ≤ 3,42)
Formula F2 (Lanjutan)
96
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
70
= 2,80
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,80 ) + (2 − 2,80)
=
25
=
4,00
25
= 0,16
•
S = S2
S = 0,16
S = 0,40
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,80 − (1,96.0,40 / 25 ) ≤ µ ≤ (2,80 − −(1.96.0,40 / 25
P (2,80 − 0,39) ≤ µ ≤ (2,80 + 0,39)
P(2,41 ≤ µ ≤ 3,19)
Formula F3 (Lanjutan)
97
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
60
= 2,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,40 ) + (2 − 2,40 )
=
25
=
7,60
25
= 0,30
•
S = S2
S = 0,30
S = 0,55
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,40 − (1,96.0,55 / 25 ) ≤ µ ≤ (2,40 − −(1.96.0,55 / 25
P(2,40 − 0,22) ≤ µ ≤ (2,80 + 0,22)
P(2,18 ≤ µ ≤ 3,62)
Formula F4 (Lanjutan)
98
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
58
= 2,32
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,32) + (2 − 2,32) + (1 − 2,32)2
=
25
=
9,43
25
= 0,38
•
S = S2
S = 0,38
S = 0,62
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,32 − (1,96.0,62 / 25 ) ≤ µ ≤ (2,32 − −(1.96.0,62 / 25
P (2,32 − 0,24) ≤ µ ≤ (2,32 + 0,24)
P(2,08 ≤ µ ≤ 2,56)
Lampiran 10.(Lanjutan)
99
Universitas Sumatera Utara
Minggu 4
Formula
Panelis
N1
N2
N3
1
2
1
1
2
2
1
1
3
1
1
1
4
2
1
1
5
2
1
1
6
2
1
1
7
1
1
1
8
2
2
1
9
2
1
1
10
1
1
1
11
1
1
1
12
2
2
1
13
1
2
1
14
2
1
1
15
1
1
2
16
2
1
1
17
1
2
1
18
1
1
2
19
1
2
1
20
1
1
2
21
1
2
1
22
1
1
2
23
1
2
1
24
1
1
1
25
1
2
2
Jumlah
35
33
30
N4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
27
Lampiran 10.(Lanjutan)
100
Universitas Sumatera Utara
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
35
= 1,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,40, ) + (1 − 1,40)
=
25
=
6,00
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,40 − (1,96.0,49 / 25 ) ≤ µ ≤ (1,40 − −(1.96.0,49 / 25
•
P(1,40 − 0,19) ≤ µ ≤ (1,40 + 0,19)
P(1,21 ≤ µ ≤ 1,59)
Formula F2(Lanjutan)
101
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
33
= 1,32
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,32, ) + (1 − 1,32 )
=
25
=
5,44
25
= 0,22
•
S = S2
S = 0,22
S = 0,47
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,32 − (1,96.0,47 / 25 ) ≤ µ ≤ (1,32 − (1.96.0,47 / 25
P (1,32 − 0,18) ≤ µ ≤ (1,32 + 0,18)
P(1,14 ≤ µ ≤ 1,50)
Formula F3 (Lanjutan)
102
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
30
= 1,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,20, ) + (1 − 1,20 )
=
25
=
2,20
25
= 0,09
•
S = S2
S = 0,09
S = 0,30
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,20 − (1,96.0,30 / 25 ) ≤ µ ≤ (1,20 − (1.96.0,30 / 25
P(1,20 − 0,12) ≤ µ ≤ (1,20 + 0,12)
P(1,08 ≤ µ ≤ 1,32)
Formula F4(Lanjutan)
103
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
27
= 1,08
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,08, ) + (1 − 1,08)
=
25
=
4,23
25
= 0,17
•
S = S2
S = 0,17
S = 0,41
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,08 − (1,96.0,41 / 25 ) ≤ µ ≤ (1,08 − −(1.96.0,41 / 25
•
P (1,08 − 0,16) ≤ µ ≤ (1,08 + 0,16)
P (0,92 ≤ µ ≤ 1,24)
Lampiran 10.(Lanjutan)
104
Universitas Sumatera Utara
Minggu 1
Formula
Panelis
N1
N2
N3
1
4
4
3
2
4
5
3
3
4
4
5
4
5
4
3
5
5
4
3
6
3
4
4
7
5
4
5
8
5
4
4
9
5
4
5
10
5
5
4
11
5
5
4
12
3
4
4
13
5
4
4
14
4
4
4
15
4
4
5
16
4
4
3
17
4
4
3
18
5
5
3
19
5
5
3
20
5
5
3
21
5
4
3
22
4
4
4
23
4
4
3
24
5
4
4
25
5
4
3
Jumlah
111
102
92
N4
5
3
3
3
5
3
3
3
4
5
3
4
4
3
4
3
4
4
3
3
4
4
3
3
3
89
Lampiran 10.(Lanjutan)
105
Universitas Sumatera Utara
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
111
= 4,44
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 4,44 ) + (4 − 4,44 ) + (3 − 4,44 )
=
=
25
10,19
25
= 0,41
•
S = S2
S = 0,41
S = 0,64
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,44 − (1,96.0,64 / 25 ) ≤ µ ≤ (4,44 − (1.96.0,64 / 25
P (4,44 − 0,25) ≤ µ ≤ (4,44 + 0,25)
P (4,19 ≤ µ ≤ 4,69)
Formula F2 (Lanjutan)
106
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
102
= 4,08
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 4,08) + (4 − 4,08) + (3 − 4,08)
=
=
25
6,99
25
= 0,28
•
S = S2
S = 0,28
S = 0,53
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,08 − (1,96.0,53 / 25 ) ≤ µ ≤ (4,08 − (1.96.0,53 / 25
P(4,08 − 0,21) ≤ µ ≤ (4,08 + 0,21)
P(3,87 ≤ µ ≤ 4,29)
Formula F3 (Lanjutan)
107
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
92
= 3,68
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
2
(
5 − 3,68) + (4 − 3,68) + (3 − 3,68)
=
=
25
13,38
25
= 0,54
•
S = S2
S = 0,54
S = 0,73
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,68 − (1,96.0,73 / 25 ) ≤ µ ≤ (3,68 − (1.96.0,73 / 25
P(3,68 − 0,29) ≤ µ ≤ (3,68 + 0,29)
P(3,39 ≤ µ ≤ 3,97)
Formula F4 (Lanjutan)
108
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
89
= 3,56
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 3,56) + (4 − 3,56 ) + (3 − 3,56 )
=
=
25
12,07
25
= 0,48
•
S = S2
S = 0,48
S = 0,70
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,56 − (1,96.0,70 / 25 ) ≤ µ ≤ (3,56 − (1.96.0,70 / 25
P(3,56 − 0,27) ≤ µ ≤ (3,56 + 0,27)
P(3,29 ≤ µ ≤ 3,83)
Lampiran 10.(Lanjutan)
109
Universitas Sumatera Utara
Minggu 2
Formula
Panelis
N1
N2
N3
1
3
2
2
2
3
2
2
3
3
2
2
4
3
2
2
5
3
2
2
6
3
2
2
7
3
2
2
8
3
3
1
9
3
3
2
10
3
2
1
11
3
3
2
12
3
3
2
13
3
3
3
14
3
2
3
15
3
3
2
16
4
2
2
17
3
3
3
18
4
2
3
19
2
2
3
20
4
3
2
21
4
3
3
22
4
3
3
23
4
2
2
24
2
2
3
25
4
3
3
Jumlah
80
61
55
N4
2
2
2
2
2
3
2
2
3
3
2
2
3
2
3
2
2
2
3
3
2
3
1
3
1
53
Lampiran 10.(Lanjutan)
110
Universitas Sumatera Utara
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
80
= 3,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
4 − 3,20, ) + (3 − 3,20) + (2 − 3,20)2
=
25
=
8,00
25
= 0,32
•
S = S2
S = 0,32
S = 0,56
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,20 − (1,96.0,56 / 25 ) ≤ µ ≤ (3,20 − (1.96.0,56 / 25
•
P(3,20 − 0,22) ≤ µ ≤ (3,20 + 0,22)
P(2,98 ≤ µ ≤ 3,52)
Formula F2 (Lanjutan)
111
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
61
= 2,44
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,44 ) + (2 − 2,44 )
=
25
=
6,21
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,44 − (1,96.0,50 / 25 ) ≤ µ ≤ (2,44 − (1.96.0,50 / 25
P(2,44 − 0,20) ≤ µ ≤ (2,44 + 0,20)
P(2,24 ≤ µ ≤ 2,64)
Formula F3 (Lanjutan)
112
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
55
= 2,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,20 ) + (2 − 2,20) + (1 − 2,20)2
=
25
=
9,16
25
= 0,37
•
S = S2
S = 0,37
S = 0,61
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,20 − (1,96.0,61 / 25 ) ≤ µ ≤ (2,20 − (1.96.0,61 / 25
P(2,20 − 0,24) ≤ µ ≤ (2,20 + 0,24)
P(1,96 ≤ µ ≤ 2,44)
Formula F4 (Lanjutan)
113
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
53
= 2,12
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,12) + (2 − 2,12) + (1 − 2,12)2
=
25
=
9,65
25
= 0,39
•
S = S2
S = 0,39
S = 0,62
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,12 − (1,96.0,62 / 25 ) ≤ µ ≤ (2,12 − (1.96.0,62 / 25
P(2,12 − 0,24) ≤ µ ≤ (2,12 + 0,24)
P(1,88 ≤ µ ≤ 2,36)
Lampiran 10.(Lanjutan)
114
Universitas Sumatera Utara
Minggu 4
Formula
Panelis
N1
N2
N3
1
1
1
1
2
1
1
1
3
1
1
1
4
1
1
1
5
1
1
1
6
1
1
1
7
1
1
1
8
1
1
1
9
1
2
1
10
1
1
1
11
2
2
1
12
2
1
2
13
1
2
1
14
1
1
1
15
2
2
1
16
1
1
1
17
2
1
2
18
2
1
2
19
1
1
2
20
2
2
1
21
2
2
2
22
2
1
1
23
1
1
1
24
1
1
1
25
2
2
1
Jumlah
34
32
30
N4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
26
Lampiran 10.(Lanjutan)
115
Universitas Sumatera Utara
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
34
= 1,36
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,36 ) + (1 − 1,36 )
=
25
=
5,76
25
= 0,23
•
S = S2
S = 0,23
S = 0,48
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,36 − (1,96.0,48 / 25 ) ≤ µ ≤ (1,36 − (1.96.0,48 / 25
P(1,36 − 0,19) ≤ µ ≤ (3,20 + 0,19)
P(1,17 ≤ µ ≤ 1,55)
Formula F2 (Lanjutan)
116
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
32
= 1,28
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,28) + (2 − 1,28)
=
25
=
12,96
25
= 0,52
•
S = S2
S = 0,52
S = 0,72
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,28 − (1,96.0,72 / 25 ) ≤ µ ≤ (1,28 − (1.96.0,72 / 25
P(1,28 − 0,28) ≤ µ ≤ (1,28 + 0,28)
P(1,00 ≤ µ ≤ 1,56)
Formula F3 (Lanjutan)
117
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
30
= 1,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,20) + (2 − 1,20)
=
25
=
16,00
25
= 0,64
•
S = S2
S = 0,64
S = 0,80
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,20 − (1,96.0,80 / 25 ) ≤ µ ≤ (1,20 − (1.96.0,80 / 25
P(1,20 − 0,31) ≤ µ ≤ (1,20 + 0,31)
P(0,89 ≤ µ ≤ 1,51)
Formula F4 (Lanjutan)
118
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
26
= 1,04
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,04) + (2 − 1,04)
=
25
=
24,03
25
= 0,96
•
S = S2
S = 0,96
S = 0,98
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,04 − (1,96.0,98 / 25 ) ≤ µ ≤ (1,20 − (1.96.0,98 / 25
P(1,04 − 0,38) ≤ µ ≤ (1,04 + 0,38)
P(0,66 ≤ µ ≤ 1,42)
Lampiran 11. Gambar gel pengharum ruangan
119
Universitas Sumatera Utara
120
Universitas Sumatera Utara
Lampiran 1. Bagan alir pembuatan basis gel pengharum ruangan
Akuades
Dipanaskan sampai suhu 750C
Karagenan,
Agar-Agar,
Natrium
benzoat
Diaduk hingga homogen
Diturunkan suhu hingga 650 C
Diaduk hingga homogen
Propilen glikol
Dituangkan dalam cetakan
Dibiarkan pada suhu ruangan hingga
mengeras
Bentuk sediaan gel
43
Universitas Sumatera Utara
Lampiran 2. Bagan alir pembuatan gel pengharum ruangan
Akuades
Dipanaskan sampai suhu 750C
Karagenan,
Agar agar,
Natrium
benzoat
Diaduk hingga homogen
Diturunkan suhu hingga 650 C
Diaduk hingga homogen
Propilen glikol
Minyak mawar,
miyak akar wangi
Diaduk hingga homogen
Dituangkan dalam cetakan
Dibiarkan pada suhu ruangan hingga
mengeras
Gel pengharum ruangan
44
Universitas Sumatera Utara
Lampiran 3. Lembar penilaian uji kesukaan
Lembar Penilaian Uji Kesukaan (Hedonic Test)
Nama :
Umur :
instruksi : berikan pendapat anda tentang aroma wangi sedian gel pengharum
ruangan yang diuji, kemudian berilah tanda centang () pada salah satu
kolom (SS/S/CS/KS/TS) yang tersedia.
Penilaian
Sediaan
SS
S
CS
KS
TS
1%
1,5%
2%
2,5%
Keterangan :
Nilai 5 = Sangat Suka (SS)
Nilai 4 = Suka (S)
Nilai 3 = Cukup Suka (CS)
Nilai 2 = Kurang Suka (KS)
Nilai 1 = Tidak Suka (TS)
45
Universitas Sumatera Utara
Lampiran 4. Lembar penilaian uji ketahanan wangi
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/SKW/KW/SGW/TW) yang tersedia.
Penilaian
Sediaan
SW
SKW
KW
SGW
TW
1%
1,5%
2%
2,5%
Keterangan :
Nilai 5 = Sama Wangi(SW)
Nilai 4 = Sedikit Kurang Wangi (SKW)
Nilai 3 = Kurang Wangi (KW)
Nilai 2 = Sangat Kurang Wangi (SGW)
Nilai 1 = Tidak Wangi (TW)
46
Universitas Sumatera Utara
Lampiran 5.Gambar minyak mawar
47
Universitas Sumatera Utara
Lampiran 6.Gambar minyak akar wangi
48
Universitas Sumatera Utara
Lampiran 7.Rumus perhitungan nilai uji kestabilan gel
(%) Sineresis =
M 0 − Mi
M0
x 100%
Keterangan: M0 = berat mula mula
Mi = berat akhir
49
Universitas Sumatera Utara
Lampiran 7. (Lanjutan)
Formula B1
Sineresis (%) =
44,67-44,24
44,67
x 100%
= 0,96
Formula B2
Sineresis (%) =
43,81-43,30
43,81
x 100%
= 1,16
Formula B3
Sineresis (%) =
45,27-44,46
45,27
x 100%
= 1,78
Formula B4
Sineresis (%) =
46,15-45,56
46,15
x 100%
= 2,10
Formula B5
Sineresis (%) =
46,55-45,56
46,55
x 100%
= 2,12
50
Universitas Sumatera Utara
Lampiran 8.Rumus perhitungan nilai uji kesukaan
Untuk menghitung nilai kesukaan rata-rata dari setiap panelis digunakan
rumus sebagai berikut:
•
•
P ( X − (1,96.S / n )) ≤ µ ≤ ( X + (1,96.S / n )) ≅ 95%
∑ = Xi
X =
n
i
∑ (Xi − X )
=
n
•
S
•
S = S2
2
n
2
i
n
Keterangan :
n
: Banyak panelis
S2
: Keseragaman nilai kesukaan
1,96 : Koefisien standar deviasi pada taraf 95%
: Nilai kesukaan rata-rata
X
Xi
: Nilai dari panelis ke i, dimana i = 1,2,3,…,n
S
: Simpangan baku nilai kesukaan
P
: Tingkat kepercayaan
µ
: Rentang nilai
51
Universitas Sumatera Utara
Lampiran 8.(Lanjutan)
Formula
Panelis
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Jumlah
F1
4
4
4
4
4
4
4
5
3
5
1
2
4
4
4
4
4
3
4
4
4
4
4
5
5
97
F2
3
4
3
4
4
2
4
4
3
4
2
2
4
3
4
4
4
3
4
4
4
3
3
3
3
85
F3
4
4
2
4
5
3
4
4
3
3
2
2
3
2
3
3
3
2
3
3
3
2
3
3
3
76
F4
4
4
4
4
3
4
4
3
3
2
3
1
3
2
2
3
2
1
4
3
2
2
4
3
2
72
52
Universitas Sumatera Utara
Lampiran 8.(Lanjutan)
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
97
= 3,88
25
S
2
∑ (Xi − X )
=
2
n
=
=
i
n
(5 − 3,88)2 + (4 − 3,88)2 + (3 − 3,88) 2 + (2 − 3,88)2 + (1 − 3,88)2
25
13,85
25
= 0,64
•
S = S2
S = 0,55
S = 0,74
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,88 − (1,96.0,74 / 25 ) ≤ µ ≤ (3,88 + (1.96.0,74 / 25
P(3,88 − 0,29) ≤ µ ≤ (3,88 + 0,29)
P(3,59 ≤ µ ≤ 4,17)
53
Universitas Sumatera Utara
Formula F2 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
85
= 3,4
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
4 − 3,4 ) + (3 − 3,4 ) + (2 − 3,4 )
=
=
25
12
25
= 0,48
•
S = S2
S = 0,48
S = 0,7
• P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,8 − (1,96.0,8 / 25 ) ≤ µ ≤ (3,8 + (1.96.0,8 / 25
P (3,4 − 0,14) ≤ µ ≤ (3,4 + 0,14)
P (3,1 ≤ µ ≤ 4,7)
54
Universitas Sumatera Utara
Formula F3 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
76
= 3,04
25
S
2
∑ (Xi − X )
=
2
n
i
(5 − 3,04)
=
=
n
2
)
+ (4 − 3,04 + (3 − 3,04) + (2 − 3,04)
25
2
2
2
14,5
25
= 0,60
•
S = S2
S = 0,60
S = 0,77
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,04 − (1,96.0,77 / 25 ) ≤ µ ≤ (3,04 + (1.96.0,77 / 25
P (3,04 − 0,31) ≤ µ ≤ (3,04 + 0,31)
P (2,7 ≤ µ ≤ 3,3)
55
Universitas Sumatera Utara
Formula F4 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
72
= 2,88
25
S
2
∑ (Xi − X )
=
2
n
i
(4 − 2,88)
=
=
n
2
)
+ (3 − 2,88 + (2 − 2,88) + (1 − 2,88)
25
2
2
2
22,50
25
= 0,90
•
S = S2
S = 0,90
S = 0,95
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,88 − (1,96.0,95 / 25 ) ≤ µ ≤ (2,88 + (1.96.0,95 / 25
P(2,88 − 0,37) ≤ µ ≤ (2,88 + 0,37)
P(2,5 ≤ µ ≤ 3,2)
56
Universitas Sumatera Utara
Lampiran 9.Rumus perhitungan persentase penguapan zat cair
% penguapan zat cair =
zat cair menguap (M0 - Mn)
x 100%
bobot minyak + bobot akuades
Keterangan:
M0: Berat gel mula-mula
Mn: Berat gel minggu ke-n
57
Universitas Sumatera Utara
Lampiran 9. (Lanjutan)
Formula F1
Minggu 1
Persen total penguapan zat cair =
3,421
x 100%=8,182%
41,811
Persen total penguapan zat cair =
6,842
x100%=16,364%
41,811
Minggu 2
Minggu 3
Persen total penguapan zat cair =
10,263
x100%=24,546%
41,811
Persen total penguapan zat cair =
13,684
x100%=32,728%
41,811
Minggu 4
Formula F2
Minggu 1
Persen total penguapan zat cair =
3,835
x100%=9,56%
40,109
Minggu 2
Persen total penguapan zat cair =
7,670
x100%=19,123%
40,109
Persen total penguapan zat cair =
11,505
x100%=28,684%
40,109
Persen total penguapan zat cair =
15,340
x100%=38,245%
40,109
Minggu 3
Minggu 4
58
Universitas Sumatera Utara
Formula F3(Lanjutan)
Minggu 1
Persen total penguapan zat cair =
4,412
x100%=10,786%
40,906
Persen total penguapan zat cair =
8,824
x100%=21,571%
40,906
Persen total penguapan zat cair =
13,236
x100%=32,357%
40,906
Persen total penguapan zat cair=
17,648
x100%=43,143%
40,906
Persen total penguapan zat cair=
5,197
x100%=12,287%
42,295
Persen total penguapan zat cair=
10,394
x100%=24,575%
42,295
Persen total penguapan zat cair=
15,591
x100%=36,862%
42,295
Persen total penguapan zat cair=
20,788
x100%=49,150%
42,295
Minggu 2
Minggu 3
Minggu 4
Formula 4
Minggu 1
Minggu 2
Minggu 3
Minggu 4
59
Universitas Sumatera Utara
Lampiran9.(Lanjutan)
Ruangan AC
Formula F1
Minggu 1
Persen total penguapan zat cair=
4,837
x100%=11,387%
42,478
Persen total penguapan zat cair=
9,374
x100%=22,068%
42,478
Persen total penguapan zat cair=
14,011
x100%=32,984%
42,478
Persen total penguapan zat cair=
18,891
x100%=44,472%
42,478
Persen total penguapan zat cair=
5,422
x100%=12,061%
41,456
Persen total penguapan zat cair=
10,842
x100%=26,153%
41,456
Minggu 2
Minggu 3
Minggu 4
Formula F2
Minggu 1
Minggu 2
Minggu 3
60
Universitas Sumatera Utara
Persen total penguapan zat cair=
16,343
x100%=39,422%
41,456
Persen total penguapan zat cair=
21,563
x100%=52,014%
41,456
Minggu 4
Formula F3 (Lanjutan)
Minggu 1
Persen total penguapan zat cair=
6,093
x100%=14,380%
42,369
Persen total penguapan zat cair=
12,186
x100%=28,761%
42,369
Persen total penguapan zat cair=
19,069
x100%=45,007%
42,369
Minggu 2
Minggu 3
Minggu 4
Persen total penguapan zat cair=
25,393
x100%=59,932
42,369
Formula F4
Minggu 1
Persen total penguapan zat cair=
6,536
%=15,507%
42,147
Persen total penguapan zat cair=
13,07
%=31,010%
42,147
Minggu 2
Minggu 3
61
Universitas Sumatera Utara
Persen total penguapan zat cair=
19,622
%=46,556%
42,147
Persen total penguapan zat cair=
26,162
%=62,073%
42,147
Minggu 4
Lampiran 9. (Lanjutan)
Ruangan Kipas
Formula F1
Minggu 1
Persen total penguapan zat cair=
8,119
%=19,417%
41,814
Minggu 2
Persen total penguapan zat cair=
16,22
%=38,79%
41,814
Minggu 3
Persen total penguapan zat cair=
24,343
%=58,217%
41,814
Persen total penguapan zat cair=
32,392
%=77,467%
41,814
Minggu 4
Formula F2
Minggu 1
62
Universitas Sumatera Utara
Persen total penguapan zat cair=
8,647
%=20,698%
41,775
Persen total penguapan zat cair=
17,287
%=41,381%
41,775
Persen total penguapan zat cair=
25,931
%=62,073%
41,775
Persen total penguapan zat cair=
34,551
%=82,707%
41,775
Minggu 2
Minggu 3
Minggu 4
Formula F3 (Lanjutan)
Minggu 1
Persen total penguapan zat cair=
8,88
%=21,670%
40,978
Persen total penguapan zat cair=
17,755
%=43,328%
40,978
Minggu 2
Minggu 3
Persen total penguapan zat cair=
26,669
%=65,081%
40,978
Minggu 4
Persen total penguapan zat cair=
35,525
%=86,692%
40,978
Formula F4
Minggu 1
63
Universitas Sumatera Utara
Persen total penguapan zat cair=
9,9
%=23,407%
42,295
Persen total penguapan zat cair=
19,114
%=45,192%
42,295
Persen total penguapan zat cair=
28,635
%=67,703%
42,295
Persen total penguapan zat cair=
37,967
%=89,767%
42,292
Minggu 2
Minggu 3
Minggu 4
Lampiran 10.Hasil uji ketahanan wangi pada ruangan biasa
Minggu 1
Formula
Panelis
F1
F2
F3
1
5
4
5
2
5
4
5
3
4
4
4
4
5
4
4
5
5
5
3
6
5
4
4
7
4
5
3
8
5
5
3
9
5
5
4
10
4
4
4
11
5
5
4
F4
4
4
5
4
3
5
3
4
3
4
3
64
Universitas Sumatera Utara
12
5
4
4
13
5
5
4
14
4
5
3
15
4
5
3
16
4
4
5
17
4
4
4
18
5
5
4
19
5
5
3
20
5
4
3
21
5
4
3
22
5
4
4
23
5
5
4
24
5
4
5
25
5
5
5
Jumlah
118
112
97
3
5
4
4
3
3
3
4
4
4
3
3
4
4
93
Lampiran 10.(Lanjutan)
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
118
= 4,72
25
∑ (Xi − X )
=
2
n
S2
i
n
65
Universitas Sumatera Utara
=
=
(5 − 4,72)
2
+ (4 − 4,72
25
)
2
5,08
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,72 − (1,96.0,45 / 25 ) ≤ µ ≤ (4,72 + (1.96.0,45 / 25
P (4,72 − 0,18) ≤ µ ≤ (4,72 + 0,18)
P(4,54 ≤ µ ≤ 4,9)
Formula F2 (Lanjutan)
•
•
∑ = Xi
X =
n
i
n
=
112
= 4,48
25
S
2
∑ (Xi − X )
=
2
n
i
n
66
Universitas Sumatera Utara
=
=
(5 − 4,48)
2
+ (4 − 4,48
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,5
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,48 − (1,96.0,5 / 25 ) ≤ µ ≤ (4,48 + (1.96.0,5 / 25
P(4,48 − 0,20) ≤ µ ≤ (4,48 + 0,20)
P(4,28 ≤ µ ≤ 4,68)
Formula F3 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
•
97
= 3,88
25
∑ (Xi − X )
=
2
n
S2
i
n
67
Universitas Sumatera Utara
=
=
(5 − 3,88)
2
)
+ (4 − 3,88 + (3 − 3,88)2
25
2
12,53
25
= 0,50
•
S = S2
S = 0,50
S = 0,71
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,88 − (1,96.0,71 / 25 ) ≤ µ ≤ (3,88 + (1.96.0,71 / 25
P (3,88 − 0,28) ≤ µ ≤ (3,88 + 0,28)
P (3,60 ≤ µ ≤ 4,16)
Formula F4 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
•
93
= 3,72
25
∑ (Xi − X )
=
2
n
S2
i
n
68
Universitas Sumatera Utara
=
=
(5 − 3,72)
2
)
+ (4 − 3,72 + (3 − 3,72)2
25
2
11,08
25
= 0,44
•
S = S2
S = 0,44
S = 0,66
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,72 − (1,96.0,66 / 25 ) ≤ µ ≤ (3,72 + (1.96.0,66 / 25
P(3,72 − 0,26) ≤ µ ≤ (3,72 + 0,26)
P(3,46 ≤ µ ≤ 3,98)
Lampiran 10.(Lanjutan)
Minggu 2
Formula
Panelis
N1
N2
N3
1
5
3
3
2
4
3
3
3
4
3
4
4
4
3
3
N4
2
2
2
2
69
Universitas Sumatera Utara
5
4
4
3
6
4
3
4
7
4
3
3
8
4
3
3
9
5
4
3
10
5
4
3
11
5
3
4
12
4
4
4
13
4
3
4
14
4
4
3
15
4
3
3
16
4
3
3
17
4
3
3
18
4
4
3
19
4
4
3
20
5
4
3
21
5
4
4
22
4
3
4
23
4
3
4
24
4
4
3
25
5
4
4
Jumlah
107
86
84
2
3
3
2
2
3
2
3
3
3
2
3
2
3
3
3
2
2
3
3
2
62
Lampiran 10.(Lanjutan)
Formula F1
•
∑ = Xi
X =
n
i
n
=
107
= 4,28
25
70
Universitas Sumatera Utara
∑ (Xi − X )
=
2
n
•
S
2
i
n
(5 − 4,28)
=
=
2
+ (4 − 4,28
25
)
2
5,04
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,28 − (1,96.0,45 / 25 ) ≤ µ ≤ (34,28 + (1.96.0,45 / 25
P (4,28 − 0,18) ≤ µ ≤ (4,28 + 0,18)
P(4,10 ≤ µ ≤ 4,46)
Formula F2 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
86
= 3,44
25
71
Universitas Sumatera Utara
•
∑ (Xi − X )
=
2
n
S
2
i
(4 − 3,44)
=
=
n
2
+ (3 − 3,44
25
)
2
6,07
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,44 − (1,96.0,49 / 25 ) ≤ µ ≤ (3,44 + (1.96.0,49 / 25
P(3,44 − 0,19) ≤ µ ≤ (3,44 + 0,19)
P(3,25 ≤ µ ≤ 3,63)
Formula F3 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
84
= 3,36
25
72
Universitas Sumatera Utara
•
∑ (Xi − X )
=
2
n
S
2
i
(4 − 3,36)
=
=
n
2
+ (3 − 3,36
25
)
2
5,77
25
= 0,23
•
S = S2
S=
0,23
S = 0,48
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,36 − (1,96.0,48 / 25 ) ≤ µ ≤ (3,44 + (1.96.0,48 / 25
P (3,36 − 0,19) ≤ µ ≤ (3,36 + 0,19)
P(3,17 ≤ µ ≤ 3,55)
Formula F4 (Lanjutan)
•
∑ = Xi
X =
n
i
n
=
62
= 2,48
25
73
Universitas Sumatera Utara
•
∑ (Xi − X )
=
2
n
S
2
i
n
(3 − 2,48)
=
=
2
+ (2 − 2,48
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,48 − (1,96.0,50 / 25 ) ≤ µ ≤ (2,48 + (1.96.0,50 / 25
P(2,48 − 0,20) ≤ µ ≤ (2,48 + 0,20)
P(2,28 ≤ µ ≤ 2,68)
Lampiran 10.(Lanjutan)
Minggu 3
Formula
Panelis
1
N1
N2
N3
3
3
2
N4
2
74
Universitas Sumatera Utara
2
2
3
3
2
3
3
3
2
4
3
3
2
5
3
3
3
6
3
2
2
7
4
2
2
8
3
2
3
9
4
3
2
10
3
3
2
11
4
2
2
12
4
2
3
13
3
3
2
14
3
2
3
15
3
2
3
16
4
2
3
17
4
3
2
18
4
2
2
19
2
2
3
20
3
2
2
21
4
3
2
22
4
3
2
23
2
3
3
24
3
2
3
25
4
2
3
Jumlah
83
62
60
2
2
2
2
2
2
2
3
3
2
3
3
3
2
3
2
2
3
3
1
3
3
1
58
Lampiran 10.(Lanjutan)
Formula F1
•
∑ = Xi
X =
n
i
n
75
Universitas Sumatera Utara
=
•
83
= 3,32
25
∑ (Xi − X )
=
2
n
S2
i
(4 − 3,32)
=
=
n
2
)
+ (3 − 3,32 + (2 − 3,32)2
25
2
9,4
25
= 0,38
•
S = S2
S = 0,38
S = 0,62
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,32 − (1,96.0,62 / 25 ) ≤ µ ≤ (3,32 + (1.96.0,62 / 25
P(3,32 − 0,24) ≤ µ ≤ (3,32 + 0,24)
P(3,08 ≤ µ ≤ 3,56)
Formula F2 (Lanjutan)
•
∑ = Xi
X =
n
i
n
76
Universitas Sumatera Utara
=
•
62
= 2,48
25
∑ (Xi − X )
=
2
n
S2
i
n
(3 − 2,48)
=
=
2
+ (2 − 2,48
25
)
2
6,24
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,48 − (1,96.0,50 / 25 ) ≤ µ ≤ (2,48 + (1.96.0,50 / 25
P(2,48 − 0,19) ≤ µ ≤ (2,48 + 0,19)
P(2,29 ≤ µ ≤ 2,67)
Formula F3 (Lanjutan)
•
∑ = Xi
X =
n
i
n
77
Universitas Sumatera Utara
=
•
60
= 2,40
25
∑ (Xi − X )
=
2
n
S2
i
n
(3 − 2,40)
=
=
2
+ (2 − 2,40
25
)
2
6,00
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,40 − (1,96.0,49 / 25 ) ≤ µ ≤ (2,40 + (1.96.0,49 / 25
P(2,48 − 0,19) ≤ µ ≤ (2,48 + 0,19)
P(2,29 ≤ µ ≤ 2,67)
Formula F4 (Lanjutan)
•
∑ = Xi
X =
n
i
n
78
Universitas Sumatera Utara
=
•
58
= 2,32
25
∑ (Xi − X )
=
2
n
S2
i
(3 − 2,32)
=
=
n
2
)
+ (2 − 2,32 + (1 − 2,32)2
25
2
9,4
25
= 0,38
•
S = S2
S = 0,38
S = 0,62
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,32 − (1,96.0,62 / 25 ) ≤ µ ≤ (2,32 + (1.96.0,62 / 25
P (2,32 − 0,24) ≤ µ ≤ (2,32 + 0,24)
P(2,08 ≤ µ ≤ 2,56)
Lampiran 10.(Lanjutan)
Minggu 4
Formula
Panelis
79
Universitas Sumatera Utara
N1
N2
N3
1
2
1
1
2
1
1
1
3
1
1
1
4
1
1
1
5
1
1
1
6
2
1
1
7
3
1
1
8
1
2
2
9
2
1
1
10
1
2
1
11
2
1
2
12
1
2
2
13
2
1
1
14
2
1
1
15
1
1
1
16
1
1
1
17
2
2
2
18
1
2
1
19
2
2
2
20
1
1
2
21
2
1
1
22
2
1
2
23
1
1
1
24
1
1
1
25
1
2
1
Jumlah
37
35
32
N4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
28
Lampiran 10.(Lanjutan)
Formula F1
80
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
37
= 1,48
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
2
(
3 − 1,48) + (2 − 1,48) + (1 − 1,48)
=
25
=
8,23
25
= 0,33
•
S = S2
S = 0,33
S = 0,57
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,48 − (1,96.0,57 / 25 ) ≤ µ ≤ (1,48 − (1.96.0,57 / 25
P(1,48 − 0,22) ≤ µ ≤ (1,48 + 0,22)
P(1,26 ≤ µ ≤ 1,7)
Formula F2 (Lanjutan)
81
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
35
= 1,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
2
(
3 − 1,40 ) + (2 − 1,40 ) + (1 − 1,40 )
=
25
=
8,00
25
= 0,32
•
S = S2
S = 0,32
S = 0,56
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,40 − (1,96.0,56 / 25 ) ≤ µ ≤ (1,40 − (1.96.0,56 / 25
P(1,40 − 0,22) ≤ µ ≤ (1,40 + 0,22)
P(1,18 ≤ µ ≤ 1,62)
Formula F3 (Lanjutan)
82
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
32
= 1,28
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,28) + (1 − 1,28)
=
25
=
5,08
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,28 − (1,96.0,45 / 25 ) ≤ µ ≤ (1,28 − (1.96.0,45 / 25
P(1,28 − 0,18) ≤ µ ≤ (1,28 + 0,18)
P(1,10 ≤ µ ≤ 1,46)
Formula F4 (Lanjutan)
83
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
28
= 1,12
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,12) + (1 − 1,12)
=
25
=
2,53
25
= 0,10
•
S = S2
S = 0,10
S = 0,32
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,12 − (1,96.0,32 / 25 ) ≤ µ ≤ (1,12 − (1.96.0,32 / 25
P(1,12 − 0,13) ≤ µ ≤ (1,12 + 0,13)
P(0,99 ≤ µ ≤ 1,25)
Lampiran 10.(Lanjutan)
84
Universitas Sumatera Utara
Minggu 1
Formula
Panelis
N1
N2
N3
1
4
5
4
2
4
5
4
3
4
5
5
4
5
4
4
5
5
4
4
6
4
5
4
7
4
4
5
8
5
5
4
9
5
4
5
10
5
5
4
11
5
5
4
12
4
5
4
13
5
5
4
14
4
4
4
15
4
4
5
16
4
4
3
17
4
4
3
18
5
5
3
19
5
5
3
20
5
5
3
21
5
4
3
22
4
4
4
23
4
4
3
24
5
4
4
25
5
4
3
Jumlah
113
112
97
N4
5
3
3
3
5
3
3
3
4
4
3
4
4
3
4
3
4
4
3
3
4
4
4
5
4
92
Lampiran 10.(Lanjutan)
85
Universitas Sumatera Utara
Formula 1
•
•
∑ = Xi
X =
n
i
n
=
113
= 4,52
25
S
2
∑ (Xi − X )
=
2
n
i
n
(5 − 4,52)
=
=
2
+ (4 − 4,52
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,52 − (1,96.0,50 / 25 ) ≤ µ ≤ (4,52 + (1.96.0,50 / 25
P (4,52 − 0,10) ≤ µ ≤ (4,52 + 0,10)
P(4,42 ≤ µ ≤ 4,62)
Formula 2 (Lanjutan)
86
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
112
= 4,48
25
S
2
∑ (Xi − X )
=
2
n
i
n
(5 − 4,48)
=
=
2
+ (4 − 4,48
25
)
2
6,23
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,48 − (1,96.0,50 / 25 ) ≤ µ ≤ (4,48 + (1.96.0,50 / 25
P(4,48 − 0,19) ≤ µ ≤ (4,48 + 0,19)
P(4,29 ≤ µ ≤ 4,67)
Formula 3 (Lanjutan)
87
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
97
= 3,88
25
S
2
∑ (Xi − X )
=
2
n
i
(5 − 3,88)
=
=
n
2
)
+ (4 − 3,88 + (3 − 3,88)2
25
2
10,53
25
= 0,42
•
S = S2
S = 0,42
S = 0,65
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,88 − (1,96.0,65 / 25 ) ≤ µ ≤ (3,88 + (1.96.0,65 / 25
P(3,88 − 0,25) ≤ µ ≤ (3,88 + 0,25)
P(3,63 ≤ µ ≤ 4,13)
Formula 4 (Lanjutan)
88
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
92
= 3,68
25
∑ (Xi − X )
=
2
n
S
2
i
(5 − 3,88)
=
=
n
2
) (
+ (4 − 3,88 + 3 − 3,88) 2
25
2
)
11,38
25
= 0,46
•
S = S2
S = 0,46
S = 0,68
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,68 − (1,96.0,68 / 25 ) ≤ µ ≤ (3,68 + (1.96.0,68 / 25
P(3,68 − 0,27) ≤ µ ≤ (3,68 + 0,27)
P(3,41 ≤ µ ≤ 3,95)
Lampiran 10.(Lanjutan)
89
Universitas Sumatera Utara
Minggu 2
Formula
Panelis
N1
N2
N3
1
4
3
3
2
4
3
3
3
4
3
3
4
4
4
3
5
4
4
3
6
4
3
3
7
4
3
3
8
4
3
3
9
4
4
3
10
5
3
3
11
4
4
3
12
5
3
3
13
4
3
3
14
5
3
3
15
4
3
3
16
5
4
4
17
4
4
4
18
4
3
3
19
5
3
3
20
5
3
4
21
4
3
4
22
4
3
3
23
4
3
3
24
5
3
3
25
5
4
4
Jumlah
108
82
80
N4
3
2
2
2
3
2
3
2
2
2
3
3
3
2
2
2
2
3
3
2
3
2
3
2
2
60
Lampiran 10.(Lanjutan)
90
Universitas Sumatera Utara
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
108
= 4,32
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 4,32 ) + (4 − 4,32 ) + (1 − 1,40 )
=
25
=
5,40
25
= 0,22
•
S = S2
S = 0,22
S = 0,47
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,32 − (1,96.0,47 / 25 ) ≤ µ ≤ (4,32 − (1.96.0,47 / 25
P (4,32 − 0,18) ≤ µ ≤ (4,32 + 0,18)
P(4,14 ≤ µ ≤ 4,50)
Formula F2 (Lanjutan)
91
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
82
= 3,28
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
(
4 − 3,28) + (3 − 3,28)
=
25
=
5,05
25
= 0,20
•
S = S2
S = 0,20
S = 0,45
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (3,28 − (1,96.0,45 / 25 ) ≤ µ ≤ (3,28 − (1.96.0,45 / 25
P(3,28 − 0,18) ≤ µ ≤ (3,28 + 0,18)
P(3,10 ≤ µ ≤ 3,46)
Formula F3 (Lanjutan)
92
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
80
= 3,20
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
(
4 − 3,20 ) + (3 − 3,20 )
=
25
=
4,00
25
= 0,16
•
S = S2
S = 0,16
S = 0,40
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,20 − (1,96.0,40 / 25 ) ≤ µ ≤ (3,20 − (1.96.0,40 / 25
P(3,20 − 0,16) ≤ µ ≤ (3,20 + 0,16)
P(3,04 ≤ µ ≤ 3,36)
Formula F4 (Lanjutan)
93
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
60
= 2,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
(3 − 2,40)
=
=
2
+ (2 − 2,40
25
)
2
6,00
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,40 − (1,96.0,49 / 25 ) ≤ µ ≤ (2,40 + (1.96.0,49 / 25
P(2,40 − 0,19) ≤ µ ≤ (2,40 + 0,19)
P(2,21 ≤ µ ≤ 2,59)
Lampiran 10.(Lanjutan)
94
Universitas Sumatera Utara
Minggu 3
Formula
Panelis
N1
N2
N3
1
3
3
3
2
3
3
2
3
3
3
2
4
3
3
3
5
3
3
3
6
3
3
2
7
3
3
2
8
3
3
3
9
3
3
3
10
3
3
3
11
3
3
3
12
3
3
2
13
4
2
3
14
3
3
2
15
4
2
3
16
4
3
3
17
3
2
2
18
3
3
2
19
3
3
2
20
4
2
2
21
4
2
2
22
2
3
2
23
4
3
2
24
2
3
2
25
4
2
2
Jumlah
80
70
60
N4
3
2
3
1
2
3
1
3
3
2
3
3
2
2
3
3
2
2
3
2
2
2
2
2
2
58
Lampiran 10.(Lanjutan)
95
Universitas Sumatera Utara
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
80
= 3,20
25
S
2
∑ (Xi − X )
=
2
n
i
(4 − 3,20)
=
=
n
2
) (
+ (3 − 3,20 + 2 − 3,20) 2
25
2
)
7,96
25
= 0,32
•
S = S2
S = 0,32
S = 0,57
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,20 − (1,96.0,57 / 25 ) ≤ µ ≤ (3,20 + (1.96.0,57 / 25
P(3,20 − 0,22) ≤ µ ≤ (3,68 + 0,22)
P(2,98 ≤ µ ≤ 3,42)
Formula F2 (Lanjutan)
96
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
70
= 2,80
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,80 ) + (2 − 2,80)
=
25
=
4,00
25
= 0,16
•
S = S2
S = 0,16
S = 0,40
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,80 − (1,96.0,40 / 25 ) ≤ µ ≤ (2,80 − −(1.96.0,40 / 25
P (2,80 − 0,39) ≤ µ ≤ (2,80 + 0,39)
P(2,41 ≤ µ ≤ 3,19)
Formula F3 (Lanjutan)
97
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
60
= 2,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,40 ) + (2 − 2,40 )
=
25
=
7,60
25
= 0,30
•
S = S2
S = 0,30
S = 0,55
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,40 − (1,96.0,55 / 25 ) ≤ µ ≤ (2,40 − −(1.96.0,55 / 25
P(2,40 − 0,22) ≤ µ ≤ (2,80 + 0,22)
P(2,18 ≤ µ ≤ 3,62)
Formula F4 (Lanjutan)
98
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
58
= 2,32
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,32) + (2 − 2,32) + (1 − 2,32)2
=
25
=
9,43
25
= 0,38
•
S = S2
S = 0,38
S = 0,62
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,32 − (1,96.0,62 / 25 ) ≤ µ ≤ (2,32 − −(1.96.0,62 / 25
P (2,32 − 0,24) ≤ µ ≤ (2,32 + 0,24)
P(2,08 ≤ µ ≤ 2,56)
Lampiran 10.(Lanjutan)
99
Universitas Sumatera Utara
Minggu 4
Formula
Panelis
N1
N2
N3
1
2
1
1
2
2
1
1
3
1
1
1
4
2
1
1
5
2
1
1
6
2
1
1
7
1
1
1
8
2
2
1
9
2
1
1
10
1
1
1
11
1
1
1
12
2
2
1
13
1
2
1
14
2
1
1
15
1
1
2
16
2
1
1
17
1
2
1
18
1
1
2
19
1
2
1
20
1
1
2
21
1
2
1
22
1
1
2
23
1
2
1
24
1
1
1
25
1
2
2
Jumlah
35
33
30
N4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
27
Lampiran 10.(Lanjutan)
100
Universitas Sumatera Utara
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
35
= 1,40
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,40, ) + (1 − 1,40)
=
25
=
6,00
25
= 0,24
•
S = S2
S = 0,24
S = 0,49
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,40 − (1,96.0,49 / 25 ) ≤ µ ≤ (1,40 − −(1.96.0,49 / 25
•
P(1,40 − 0,19) ≤ µ ≤ (1,40 + 0,19)
P(1,21 ≤ µ ≤ 1,59)
Formula F2(Lanjutan)
101
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
33
= 1,32
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,32, ) + (1 − 1,32 )
=
25
=
5,44
25
= 0,22
•
S = S2
S = 0,22
S = 0,47
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,32 − (1,96.0,47 / 25 ) ≤ µ ≤ (1,32 − (1.96.0,47 / 25
P (1,32 − 0,18) ≤ µ ≤ (1,32 + 0,18)
P(1,14 ≤ µ ≤ 1,50)
Formula F3 (Lanjutan)
102
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
30
= 1,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,20, ) + (1 − 1,20 )
=
25
=
2,20
25
= 0,09
•
S = S2
S = 0,09
S = 0,30
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,20 − (1,96.0,30 / 25 ) ≤ µ ≤ (1,20 − (1.96.0,30 / 25
P(1,20 − 0,12) ≤ µ ≤ (1,20 + 0,12)
P(1,08 ≤ µ ≤ 1,32)
Formula F4(Lanjutan)
103
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
27
= 1,08
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,08, ) + (1 − 1,08)
=
25
=
4,23
25
= 0,17
•
S = S2
S = 0,17
S = 0,41
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (1,08 − (1,96.0,41 / 25 ) ≤ µ ≤ (1,08 − −(1.96.0,41 / 25
•
P (1,08 − 0,16) ≤ µ ≤ (1,08 + 0,16)
P (0,92 ≤ µ ≤ 1,24)
Lampiran 10.(Lanjutan)
104
Universitas Sumatera Utara
Minggu 1
Formula
Panelis
N1
N2
N3
1
4
4
3
2
4
5
3
3
4
4
5
4
5
4
3
5
5
4
3
6
3
4
4
7
5
4
5
8
5
4
4
9
5
4
5
10
5
5
4
11
5
5
4
12
3
4
4
13
5
4
4
14
4
4
4
15
4
4
5
16
4
4
3
17
4
4
3
18
5
5
3
19
5
5
3
20
5
5
3
21
5
4
3
22
4
4
4
23
4
4
3
24
5
4
4
25
5
4
3
Jumlah
111
102
92
N4
5
3
3
3
5
3
3
3
4
5
3
4
4
3
4
3
4
4
3
3
4
4
3
3
3
89
Lampiran 10.(Lanjutan)
105
Universitas Sumatera Utara
Formula F1
•
•
∑ = Xi
X =
n
i
n
=
111
= 4,44
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 4,44 ) + (4 − 4,44 ) + (3 − 4,44 )
=
=
25
10,19
25
= 0,41
•
S = S2
S = 0,41
S = 0,64
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,44 − (1,96.0,64 / 25 ) ≤ µ ≤ (4,44 − (1.96.0,64 / 25
P (4,44 − 0,25) ≤ µ ≤ (4,44 + 0,25)
P (4,19 ≤ µ ≤ 4,69)
Formula F2 (Lanjutan)
106
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
102
= 4,08
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 4,08) + (4 − 4,08) + (3 − 4,08)
=
=
25
6,99
25
= 0,28
•
S = S2
S = 0,28
S = 0,53
•
P ( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (4,08 − (1,96.0,53 / 25 ) ≤ µ ≤ (4,08 − (1.96.0,53 / 25
P(4,08 − 0,21) ≤ µ ≤ (4,08 + 0,21)
P(3,87 ≤ µ ≤ 4,29)
Formula F3 (Lanjutan)
107
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
92
= 3,68
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
2
(
5 − 3,68) + (4 − 3,68) + (3 − 3,68)
=
=
25
13,38
25
= 0,54
•
S = S2
S = 0,54
S = 0,73
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,68 − (1,96.0,73 / 25 ) ≤ µ ≤ (3,68 − (1.96.0,73 / 25
P(3,68 − 0,29) ≤ µ ≤ (3,68 + 0,29)
P(3,39 ≤ µ ≤ 3,97)
Formula F4 (Lanjutan)
108
Universitas Sumatera Utara
•
•
∑ = Xi
X =
n
i
n
=
89
= 3,56
25
S
2
∑ (Xi − X )
=
2
n
i
n
2
2
2
(
5 − 3,56) + (4 − 3,56 ) + (3 − 3,56 )
=
=
25
12,07
25
= 0,48
•
S = S2
S = 0,48
S = 0,70
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,56 − (1,96.0,70 / 25 ) ≤ µ ≤ (3,56 − (1.96.0,70 / 25
P(3,56 − 0,27) ≤ µ ≤ (3,56 + 0,27)
P(3,29 ≤ µ ≤ 3,83)
Lampiran 10.(Lanjutan)
109
Universitas Sumatera Utara
Minggu 2
Formula
Panelis
N1
N2
N3
1
3
2
2
2
3
2
2
3
3
2
2
4
3
2
2
5
3
2
2
6
3
2
2
7
3
2
2
8
3
3
1
9
3
3
2
10
3
2
1
11
3
3
2
12
3
3
2
13
3
3
3
14
3
2
3
15
3
3
2
16
4
2
2
17
3
3
3
18
4
2
3
19
2
2
3
20
4
3
2
21
4
3
3
22
4
3
3
23
4
2
2
24
2
2
3
25
4
3
3
Jumlah
80
61
55
N4
2
2
2
2
2
3
2
2
3
3
2
2
3
2
3
2
2
2
3
3
2
3
1
3
1
53
Lampiran 10.(Lanjutan)
110
Universitas Sumatera Utara
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
80
= 3,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
4 − 3,20, ) + (3 − 3,20) + (2 − 3,20)2
=
25
=
8,00
25
= 0,32
•
S = S2
S = 0,32
S = 0,56
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(3,20 − (1,96.0,56 / 25 ) ≤ µ ≤ (3,20 − (1.96.0,56 / 25
•
P(3,20 − 0,22) ≤ µ ≤ (3,20 + 0,22)
P(2,98 ≤ µ ≤ 3,52)
Formula F2 (Lanjutan)
111
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
61
= 2,44
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,44 ) + (2 − 2,44 )
=
25
=
6,21
25
= 0,25
•
S = S2
S = 0,25
S = 0,50
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P (2,44 − (1,96.0,50 / 25 ) ≤ µ ≤ (2,44 − (1.96.0,50 / 25
P(2,44 − 0,20) ≤ µ ≤ (2,44 + 0,20)
P(2,24 ≤ µ ≤ 2,64)
Formula F3 (Lanjutan)
112
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
55
= 2,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,20 ) + (2 − 2,20) + (1 − 2,20)2
=
25
=
9,16
25
= 0,37
•
S = S2
S = 0,37
S = 0,61
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,20 − (1,96.0,61 / 25 ) ≤ µ ≤ (2,20 − (1.96.0,61 / 25
P(2,20 − 0,24) ≤ µ ≤ (2,20 + 0,24)
P(1,96 ≤ µ ≤ 2,44)
Formula F4 (Lanjutan)
113
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
53
= 2,12
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
3 − 2,12) + (2 − 2,12) + (1 − 2,12)2
=
25
=
9,65
25
= 0,39
•
S = S2
S = 0,39
S = 0,62
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(2,12 − (1,96.0,62 / 25 ) ≤ µ ≤ (2,12 − (1.96.0,62 / 25
P(2,12 − 0,24) ≤ µ ≤ (2,12 + 0,24)
P(1,88 ≤ µ ≤ 2,36)
Lampiran 10.(Lanjutan)
114
Universitas Sumatera Utara
Minggu 4
Formula
Panelis
N1
N2
N3
1
1
1
1
2
1
1
1
3
1
1
1
4
1
1
1
5
1
1
1
6
1
1
1
7
1
1
1
8
1
1
1
9
1
2
1
10
1
1
1
11
2
2
1
12
2
1
2
13
1
2
1
14
1
1
1
15
2
2
1
16
1
1
1
17
2
1
2
18
2
1
2
19
1
1
2
20
2
2
1
21
2
2
2
22
2
1
1
23
1
1
1
24
1
1
1
25
2
2
1
Jumlah
34
32
30
N4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
26
Lampiran 10.(Lanjutan)
115
Universitas Sumatera Utara
Formula F1
•
∑ = Xi
X =
n
i
n
=
•
34
= 1,36
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,36 ) + (1 − 1,36 )
=
25
=
5,76
25
= 0,23
•
S = S2
S = 0,23
S = 0,48
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,36 − (1,96.0,48 / 25 ) ≤ µ ≤ (1,36 − (1.96.0,48 / 25
P(1,36 − 0,19) ≤ µ ≤ (3,20 + 0,19)
P(1,17 ≤ µ ≤ 1,55)
Formula F2 (Lanjutan)
116
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
32
= 1,28
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,28) + (2 − 1,28)
=
25
=
12,96
25
= 0,52
•
S = S2
S = 0,52
S = 0,72
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,28 − (1,96.0,72 / 25 ) ≤ µ ≤ (1,28 − (1.96.0,72 / 25
P(1,28 − 0,28) ≤ µ ≤ (1,28 + 0,28)
P(1,00 ≤ µ ≤ 1,56)
Formula F3 (Lanjutan)
117
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
30
= 1,20
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,20) + (2 − 1,20)
=
25
=
16,00
25
= 0,64
•
S = S2
S = 0,64
S = 0,80
•
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,20 − (1,96.0,80 / 25 ) ≤ µ ≤ (1,20 − (1.96.0,80 / 25
P(1,20 − 0,31) ≤ µ ≤ (1,20 + 0,31)
P(0,89 ≤ µ ≤ 1,51)
Formula F4 (Lanjutan)
118
Universitas Sumatera Utara
•
∑ = Xi
X =
n
i
n
=
•
26
= 1,04
25
∑ (Xi − X )
=
2
n
S
2
i
n
2
2
(
2 − 1,04) + (2 − 1,04)
=
25
=
24,03
25
= 0,96
•
S = S2
S = 0,96
S = 0,98
P( X − (1,96.S / n ) ≤ µ ≤ ( X − (1,96.S / n
P(1,04 − (1,96.0,98 / 25 ) ≤ µ ≤ (1,20 − (1.96.0,98 / 25
P(1,04 − 0,38) ≤ µ ≤ (1,04 + 0,38)
P(0,66 ≤ µ ≤ 1,42)
Lampiran 11. Gambar gel pengharum ruangan
119
Universitas Sumatera Utara
120
Universitas Sumatera Utara