Lampiran 1. Bagan alir penelitian
Ya
Tidak
Mulai
Studi pustaka
Pengumpulan
d
- Po
- PRI
Apakah
control chart
terkendali ?
Penelusuran
penyebab khusus
Menetapkan
spesifikasi konsumen
Formulasi problematika
Penyusunan diagram sebab akibat
Selesai
Penyusunan control chart
Xbar-R dengan Minitab
Lampiran 2. Daftar nilai koefisien dalam perhitungan batas-batas peta kontrol Xbar dan R serta indeks kapabilitas proses
Ukuran Contoh
Koefisien Untuk Batas
Kontrol
Koefisien Untuk Batas Kontrol R Koefisien Untuk Menduga Simpangan Baku, s Xbar
(n) A2 D3 D4 d2 2 1.880 0 3.267 1.128 3 1.023 0 2.574 1.693 4 0.729 0 2.282 2.059 5 0.577 0 2.114 2.326 6 0.483 0 2.004 2.534 7 0.419 0.076 1.924 2.704 8 0.373 0.136 1.864 2.847 9 0.337 0.184 1.816 2.970 10 0.308 0.223 1.777 3.078 11 0.285 0.256 1.744 3.173 12 0.266 0.283 1.717 3.258 13 0.249 0.307 1.693 3.336 14 0.235 0.328 1.672 3.407 15 0.223 0.347 1.653 3.472 16 0.212 0.363 1.637 3.532 17 0.203 0.378 1.622 3.588 18 0.194 0.391 1.608 3.640 19 0.187 0.403 1.597 3.689 20 0.180 0.415 1.585 3.735 21 0.173 0.425 1.575 3.778 22 0.167 0.434 1.566 3.819 23 0.162 0.443 1.557 3.858 24 0.157 0.451 1.548 3.895 25 0.153 0.459 1.541 3.931
Lampiran 3. Standar mutu SIR (Standar Indonesian Rubber), sesuai dengan
lampiran Surat Keputusan Menteri Perdagangan No.
184/KP/VI/88, 25 Juni 1988
Skema SIR 3 CV SIR 3 L SIR 3 WF SIR 5 SIR 10 SIR 20
Lateks Koagulum Lateks Tipis Koagulum Lapangan Spesifikasi Kadar kotoran, % maks (b/b) 0.03 0.03 0.03 0.05 0.1 0.2
Kadar abu, % maks
(b/b) 0.5 0.5 0.5 0.5 0.75 1
Kadar zat menguap, % maks (b/b) 0.8 0.8 0.8 0.8 0.8 0.8 PRI, min 60 75 75 70 60 50 PO, min - 30 30 30 30 30 Nitrogen, maks (b/b) 0.6 0.6 0.6 0.6 0.6 0.6 Uji kemantapan viskositas/ ASHT (satuan Eallace), maks 8 - - - - - Viscositas Mooney ML (1+4)100 **) - - - - - Derajat Celcius - - - - Warna, Lovibond - 6 - - - - Cure ***) ***) ***) - - -
Warna Lambang Hijau Hijau Hijau Cokelat Cokelat Merah
bergaris cokelat
Warna pembungkus Transparan Transparan Transparan Transparan Transparan Transparan plastik
Warna pita plastik Jingga Transparan Putih susu Putih susu Putih susu Putih susu
Tebal plastik 0,03 ± 0,03 ± 0,03 ± 0,03 ± 0,03 ± 0,03 ±
pembungkus 0,01 mm 0,01 mm 0,01 mm 0,01 mm 0,01 mm 0,01 mm
Titik leleh plastik 108°C 108°C 108°C 108°C 108°C 108°C
Sumber: Prosiding Seminar Ilmiah Medan, 21-22 Agustus 1995 lustrum IV
FMIPA USU
Keterangan:
*) tanda pengenal tingkatan
Batasan Viskositas Mooney
CV-50
45-55
CV-60
55-65
CV-70
65-75
**) informasi mengenai cure diberikan dalam bentuk Rheograf sebagai standar
non mandatory
Lampiran 4. Standar mutu pabrik karet PT. Perkebunan Nusantara III sesuai
dengan SIR (Standar Indonesian Rubber), pada lampiran Surat
Keputusan Menteri Perdagangan No. 184/KP/VI/88, 25 Juni 1988
Skema SIR 3 CV SIR 3 L SIR 3 WF SIR 5 SIR 10 SIR 20
Lateks Koagulum Lateks Tipis Koagulum Lapangan Spesifikasi Kadar kotoran, % maks (b/b) 0.03 0.03 0.03 0.05 0.1 0.2
Kadar abu, % maks
(b/b) 0.5 0.5 0.5 0.5 0.75 1
Kadar zat menguap, % maks (b/b) 0.8 0.8 0.8 0.8 0.8 0.8 PRI, min 60 75 75 70 60 50 PO, min - 30 30 30 30 30 Nitrogen, maks (b/b) 0.6 0.6 0.6 0.6 0.6 0.6 Uji kemantapan viskositas/ ASHT (satuan Eallace), maks 8 - - - - - Viscositas Mooney ML (1+4)100 **) - - - - - Derajat Celcius - - - - Warna, Lovibond - 6 - - - - Cure ***) ***) ***) - - -
Warna Lambang Hijau Hijau Hijau Cokelat Cokelat Merah
bergaris cokelat
Warna pembungkus Transparan Transparan Transparan Transparan Transparan Transparan plastik
Warna pita plastik Jingga Transparan Putih susu Putih susu Putih susu Putih susu
Tebal plastik 0,03 ± 0,03 ± 0,03 ± 0,03 ± 0,03 ± 0,03 ±
pembungkus 0,01 mm 0,01 mm 0,01 mm 0,01 mm 0,01 mm 0,01 mm
Titik leleh plastik 108°C 108°C 108°C 108°C 108°C 108°C
Sumber: Prosiding Seminar Ilmiah Medan, 21-22 Agustus 1995 lustrum IV
FMIPA USU
Keterangan:
*) tanda pengenal tingkatan
Batasan Viskositas Mooney
CV-50
45-55
CV-60
55-65
CV-70
65-75
**) informasi mengenai cure diberikan dalam bentuk Rheograf sebagai standar
non mandatory
Lampiran 5. Perhitungan data Po dan PRI dengan peta kontrol Xbar-R
Diketahui n = 4, maka:
A
2= 0.729
D
3= 0
D
4= 2.282
Data Po bulan Juli 2007
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 33.0 34.0 31.0 32.0 130.0 32.50 3.0 2 35.0 34.0 32.0 32.0 133.0 33.25 3.0 3 35.0 34.0 36.0 35.0 140.0 35.00 2.0 4 31.0 31.0 34.0 35.0 131.0 32.75 4.0 5 35.0 34.0 33.0 34.0 136.0 34.00 2.0 6 34.0 35.0 33.0 34.0 136.0 34.00 2.0 7 34.0 34.0 35.0 34.0 137.0 34.25 1.0 8 35.0 36.0 34.0 35.0 140.0 35.00 2.0 9 33.0 32.0 35.0 34.0 134.0 33.50 3.0 10 32.0 33.0 32.0 32.0 129.0 32.25 1.0 11 35.0 33.0 33.0 34.0 135.0 33.75 2.0 12 33.0 32.0 30.0 31.0 126.0 31.50 3.0 13 33.0 32.0 34.0 33.0 132.0 33.00 2.0 14 32.0 34.0 33.0 32.0 131.0 32.75 2.0 15 35.0 35.0 34.0 33.0 137.0 34.25 2.0 16 34.0 35.0 35.0 34.0 138.0 34.50 1.0 17 31.0 33.0 33.0 32.0 129.0 32.25 2.0 18 35.0 33.0 36.0 36.0 140.0 35.00 3.0 19 35.0 36.0 36.0 35.0 142.0 35.50 1.0 20 34.0 35.0 34.0 34.0 137.0 34.25 1.0 Jumlah 673.25 42.0 Rata-rata 33.66 2.1
Peta Kontrol X bar
CL = X bar = 33.66
UCL = X bar + (A
2x X bar) = 33.66 + (0.729 x 33.66) = 35.19
LCL = X bar - (A
2x X bar) = 33.66 - (0.729 x 33.66) = 32.13
Peta Kontrol R
CL = R bar = 2.1
UCL = D
4x R bar = 2.282 x 2.1 = 4.7922
Lampiran 5. (sambungan)
Data PRI bulan Juli 2007
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 76.0 76.0 74.0 75.0 301.0 75.25 2.0 2 77.0 76.0 75.0 75.0 303.0 75.75 2.0 3 77.0 76.0 78.0 77.0 308.0 77.00 2.0 4 74.0 74.0 76.0 77.0 301.0 75.25 3.0 5 77.0 76.0 76.0 76.0 305.0 76.25 1.0 6 76.0 77.0 76.0 76.0 305.0 76.25 1.0 7 76.0 76.0 77.0 76.0 305.0 76.25 1.0 8 77.0 78.0 76.0 77.0 308.0 77.00 2.0 9 76.0 75.0 77.0 76.0 304.0 76.00 2.0 10 75.0 76.0 75.0 75.0 301.0 75.25 1.0 11 77.0 76.0 76.0 76.0 305.0 76.25 1.0 12 76.0 75.0 73.0 74.0 298.0 74.50 3.0 13 76.0 75.0 76.0 76.0 303.0 75.75 1.0 14 75.0 76.0 76.0 75.0 302.0 75.50 1.0 15 77.0 77.0 76.0 76.0 306.0 76.50 1.0 16 76.0 77.0 77.0 76.0 306.0 76.50 1.0 17 74.0 76.0 76.0 75.0 301.0 75.25 2.0 18 77.0 76.0 78.0 78.0 309.0 77.25 2.0 19 77.0 78.0 78.0 77.0 310.0 77.50 1.0 20 76.0 77.0 76.0 76.0 305.0 76.25 1.0 Jumlah 1521.50 31.0 Rata-rata 76.08 1.6
Peta Kontrol X bar
CL = X bar = 76.08
UCL = X bar + (A
2x X bar) = 76.08 + (0.729 x 76.08) = 77.20
LCL = X bar - (A
2x X bar) = 76.08 - (0.729 x 76.08) = 74.95
Peta Kontrol R
CL = R bar = 1.6
UCL = D
4x R bar = 2.282 x 1.6 = 3.5371
Lampiran 5. (sambungan)
Data Po bulan Juli 2008
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 35.0 34.0 31.0 30.0 130.0 32.50 5.0 2 33.0 34.0 35.0 34.0 136.0 34.00 2.0 3 36.0 35.0 34.0 33.0 138.0 34.50 3.0 4 34.0 34.0 33.0 32.0 133.0 33.25 2.0 5 33.0 33.0 32.0 32.0 130.0 32.50 1.0 6 34.0 34.0 35.0 35.0 138.0 34.50 1.0 7 34.0 30.0 34.0 35.0 133.0 33.25 5.0 8 33.0 34.0 32.0 33.0 132.0 33.00 2.0 9 34.0 35.0 34.0 34.0 137.0 34.25 1.0 10 34.0 36.0 32.0 32.0 134.0 33.50 4.0 11 34.0 34.0 32.0 32.0 132.0 33.00 2.0 12 33.0 34.0 35.0 35.0 137.0 34.25 2.0 13 35.0 35.0 34.0 34.0 138.0 34.50 1.0 14 34.0 35.0 35.0 34.0 138.0 34.50 1.0 15 32.0 33.0 33.0 32.0 130.0 32.50 1.0 16 34.0 33.0 34.0 33.0 134.0 33.50 1.0 17 34.0 33.0 35.0 34.0 136.0 34.00 2.0 18 35.0 34.0 33.0 35.0 137.0 34.25 2.0 19 34.0 35.0 35.0 32.0 136.0 34.00 3.0 20 34.0 34.0 33.0 34.0 135.0 33.75 1.0 Jumlah 673.50 42.0 Rata-rata 33.68 2.1
Peta Kontrol X bar
CL = X bar = 33.68
UCL = X bar + (A
2x X bar) = 33.68 + (0.729 x 33.68) = 35.21
LCL = X bar - (A
2x X bar) = 33.68 - (0.729 x 33.68) = 32.14
Peta Kontrol R
CL = R bar = 2.1
UCL = D
4x R bar = 2.282 x 2.1 = 4.7922
Lampiran 5. (sambungan)
Data PRI bulan Juli 2008
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 77.0 76.0 74.0 73.0 300.0 75.00 4.0 2 76.0 76.0 77.0 76.0 305.0 76.25 1.0 3 78.0 77.0 76.0 76.0 307.0 76.75 2.0 4 76.0 76.0 76.0 75.0 303.0 75.75 1.0 5 76.0 76.0 75.0 75.0 302.0 75.50 1.0 6 76.0 76.0 77.0 77.0 306.0 76.50 1.0 7 76.0 73.0 76.0 77.0 302.0 75.50 4.0 8 76.0 76.0 75.0 76.0 303.0 75.75 1.0 9 76.0 77.0 76.0 76.0 305.0 76.25 1.0 10 76.0 78.0 75.0 75.0 304.0 76.00 3.0 11 76.0 76.0 75.0 76.0 303.0 75.75 1.0 12 76.0 76.0 77.0 77.0 306.0 76.50 1.0 13 77.0 77.0 76.0 76.0 306.0 76.50 1.0 14 76.0 77.0 77.0 76.0 306.0 76.50 1.0 15 75.0 76.0 76.0 75.0 302.0 75.50 1.0 16 76.0 76.0 76.0 76.0 304.0 76.00 0.0 17 76.0 76.0 77.0 76.0 305.0 76.25 1.0 18 77.0 76.0 76.0 77.0 306.0 76.50 1.0 19 76.0 77.0 77.0 75.0 305.0 76.25 2.0 20 76.0 76.0 76.0 76.0 304.0 76.00 0.0 Jumlah 1521.00 28.0 Rata-rata 76.05 1.4
Peta Kontrol X bar
CL = X bar = 76.05
UCL = X bar + (A
2x X bar) = 76.05 + (0.729 x 76.05) = 77.07
LCL = X bar - (A
2x X bar) = 76.05 - (0.729 x 76.05) = 75.03
Peta Kontrol R
CL = R bar = 1.4
UCL = D
4x R bar = 2.282 x 1.4 = 3.1948
Lampiran 5. (sambungan)
Data Po bulan Juli 2009
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 32.0 35.0 35.0 30.0 132.0 33.00 5.0 2 32.0 31.0 31.0 32.0 126.0 31.50 1.0 3 34.0 34.0 32.0 32.0 132.0 33.00 2.0 4 30.0 30.0 30.0 30.0 120.0 30.00 0.0 5 30.0 33.0 32.0 30.0 125.0 31.25 3.0 6 32.0 32.0 31.0 31.0 126.0 31.50 1.0 7 31.0 32.0 31.0 32.0 126.0 31.50 1.0 8 31.0 31.0 32.0 32.0 126.0 31.50 1.0 9 36.0 33.0 35.0 30.0 134.0 33.50 6.0 10 32.0 32.0 33.0 33.0 130.0 32.50 1.0 11 34.0 31.0 32.0 32.0 129.0 32.25 3.0 12 32.0 31.0 33.0 30.0 126.0 31.50 3.0 13 33.0 32.0 32.0 32.0 129.0 32.25 1.0 14 34.0 33.0 34.0 33.0 134.0 33.50 1.0 15 34.0 33.0 35.0 35.0 137.0 34.25 2.0 16 31.0 31.0 32.0 30.0 124.0 31.00 2.0 17 32.0 31.0 31.0 30.0 124.0 31.00 2.0 18 34.0 32.0 32.0 33.0 131.0 32.75 2.0 19 34.0 32.0 34.0 34.0 134.0 33.50 2.0 20 33.0 32.0 32.0 31.0 128.0 32.00 2.0 Jumlah 643.25 41.0 Rata-rata 32.16 2.1
Peta Kontrol X bar
CL = X bar = 32.16
UCL = X bar + (A
2x X bar) = 32.16 + (0.729 x 32.16) = 33.66
LCL = X bar - (A
2x X bar) = 32.16 - (0.729 x 32.16) = 30.67
Peta Kontrol R
CL = R bar = 2.1
UCL = D
4x R bar = 2.282 x 2.1 = 4.6781
Lampiran 5. (sambungan)
Data PRI bulan Juli 2009
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 76.0 77.0 73.0 73.0 299.0 74.75 4.0 2 75.0 74.0 74.0 75.0 298.0 74.50 1.0 3 76.0 76.0 75.0 75.0 302.0 75.50 1.0 4 73.0 73.0 73.0 73.0 292.0 73.00 0.0 5 73.0 76.0 75.0 73.0 297.0 74.25 3.0 6 75.0 75.0 74.0 74.0 298.0 74.50 1.0 7 74.0 75.0 74.0 75.0 298.0 74.50 1.0 8 74.0 74.0 75.0 75.0 298.0 74.50 1.0 9 78.0 76.0 77.0 73.0 304.0 76.00 5.0 10 75.0 75.0 76.0 76.0 302.0 75.50 1.0 11 76.0 74.0 75.0 75.0 300.0 75.00 2.0 12 75.0 74.0 76.0 73.0 298.0 74.50 3.0 13 76.0 75.0 75.0 75.0 301.0 75.25 1.0 14 76.0 76.0 76.0 76.0 304.0 76.00 0.0 15 76.0 76.0 77.0 77.0 306.0 76.50 1.0 16 74.0 74.0 75.0 73.0 296.0 74.00 2.0 17 75.0 74.0 74.0 73.0 296.0 74.00 2.0 18 76.0 75.0 75.0 76.0 302.0 75.50 1.0 19 76.0 75.0 76.0 76.0 303.0 75.75 1.0 20 76.0 75.0 75.0 74.0 300.0 75.00 2.0 Jumlah 1498.50 33.0 Rata-rata 74.93 1.7
Peta Kontrol X bar
CL = X bar = 74.93
UCL = X bar + (A
2x X bar) = 74.93 + (0.729 x 74.93) = 76.13
LCL = X bar - (A
2x X bar) = 74.93 - (0.729 x 74.93) = 73.72
Peta Kontrol R
CL = R bar = 1.7
UCL = D
4x R bar = 2.282 x 1.7 = 3.7653
Lampiran 5. (sambungan)
Data Po bulan Juli 2010
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 32.0 30.0 34.0 31.0 127.0 31.75 4.0 2 31.0 32.0 33.0 32.0 128.0 32.00 2.0 3 31.0 31.0 32.0 30.0 124.0 31.00 2.0 4 32.0 31.0 30.0 32.0 125.0 31.25 2.0 5 31.0 33.0 31.0 32.0 127.0 31.75 2.0 6 31.0 31.0 33.0 32.0 127.0 31.75 2.0 7 31.0 31.0 32.0 32.0 126.0 31.50 1.0 8 33.0 31.0 32.0 30.0 126.0 31.50 3.0 9 32.0 32.0 31.0 33.0 128.0 32.00 2.0 10 32.0 31.0 30.0 31.0 124.0 31.00 2.0 11 32.0 31.0 30.0 32.0 125.0 31.25 2.0 12 31.0 31.0 32.0 33.0 127.0 31.75 2.0 13 32.0 31.0 30.0 31.0 124.0 31.00 2.0 14 32.0 32.0 33.0 33.0 130.0 32.50 1.0 15 32.0 32.0 34.0 33.0 131.0 32.75 2.0 16 32.0 31.0 32.0 31.0 126.0 31.50 1.0 17 32.0 31.0 32.0 31.0 126.0 31.50 1.0 18 32.0 31.0 30.0 31.0 124.0 31.00 2.0 19 32.0 30.0 31.0 32.0 125.0 31.25 2.0 20 31.0 32.0 30.0 31.0 124.0 31.00 2.0 Jumlah 631.00 39.0 Rata-rata 31.55 2.0
Peta Kontrol X bar
CL = X bar = 31.55
UCL = X bar + (A
2x X bar) = 31.55 + (0.729 x 31.55) = 32.97
LCL = X bar - (A
2x X bar) = 31.55 - (0.729 x 31.55) = 30.13
Peta Kontrol R
CL = R bar = 2.0
UCL = D
4x R bar = 2.282 x 2.0 = 4.4499
Lampiran 5. (sambungan)
Data PRI bulan Juli 2010
Sample Pengukuran pada unit contoh (n=4) Jumlah X bar R
X1 X2 X3 X4 1 75.0 73.0 76.0 74.0 298.0 74.50 3.0 2 74.0 75.0 76.0 75.0 300.0 75.00 2.0 3 74.0 74.0 75.0 73.0 296.0 74.00 2.0 4 75.0 74.0 73.0 75.0 297.0 74.25 2.0 5 74.0 76.0 74.0 75.0 299.0 74.75 2.0 6 74.0 74.0 76.0 75.0 299.0 74.75 2.0 7 74.0 74.0 75.0 75.0 298.0 74.50 1.0 8 76.0 74.0 75.0 73.0 298.0 74.50 3.0 9 75.0 75.0 74.0 76.0 300.0 75.00 2.0 10 75.0 74.0 73.0 74.0 296.0 74.00 2.0 11 75.0 74.0 73.0 75.0 297.0 74.25 2.0 12 74.0 74.0 75.0 76.0 299.0 74.75 2.0 13 75.0 74.0 73.0 74.0 296.0 74.00 2.0 14 75.0 75.0 76.0 76.0 302.0 75.50 1.0 15 75.0 75.0 76.0 76.0 302.0 75.50 1.0 16 75.0 74.0 75.0 74.0 298.0 74.50 1.0 17 75.0 74.0 75.0 74.0 298.0 74.50 1.0 18 75.0 74.0 73.0 74.0 296.0 74.00 2.0 19 75.0 73.0 74.0 75.0 297.0 74.25 2.0 20 74.0 75.0 73.0 74.0 296.0 74.00 2.0 Jumlah 1490.50 37.0 Rata-rata 74.53 1.9