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BAB IV PENGUMPULAN DAN PENGOLAHAN DATA

4.1 Pengumpulan Data Berikut ini adalah pengumpulan data untuk dilakukan penelitian : 4.1.1 Layout Gudang PET LAYOUT GUDANG PET Nama Objek Nomor Peta

: Layout Gudang PET : 01

Dipetakan Oleh

: Iga Indriana

Tanggal Dipetakan

: 29-01-2016

A4 A 10

A9

A8

A7

A6

A5

Loading Bridge

A1

A2

A3

Material Area

A11

Keterangan

Product Powder

A13

A12 Empty Silo Powder S 556 Powder S-441

Pengemasan PET

LINE A LINE B LINE D

1. A1 2. A2 3. A3 4. A4 5. A5 6. A6 7. A7 8. A8 9. A9 10. A10 11.A11 12.A12 13.A 13

= Lot BK 2170/411C29 = Lot BK 2180/412C02 = Lot BK 6180B/410C13/410C12 = Lot BK 2180/410C53 = Lot BK 2170/411C25 = Lot BK 2180/411C15 = Lot BK 2170/411C30 = Lot BK 2180/412C01 = Lot BK 2180/411C14 = Lot BK 2180/411C13 = Lot BK 2180/411C51/411C52 = Lot BK Product powder = Lot BK BK 2170

4.1.2 Aktivitas Kerja Proses Pengemasan

Persiapan 1. Mempersiapkan FC bag 2. Inspeksi FC bag 3. Pemasangan Lot Number dan Lisence 4. Pemasangan Palet 5. Pemasangan Fcbag 6. Pemberian nitrogen

Aktivitas Proses Finishing 1. Proses Pengisian 1. Pemindahan FC bag PET 2. Pemadatan FC bag 3. Pengikatan FC bag

4.1.3 Waktu Siklus Pengemasan

Preparation Menit Detik 2,14 134 2,15 135 2,18 138 2,11 131 2,42 162 2,11 131 2,10 130 2,11 131 2,10 130 2,12 132 2,14 134 2,11 131 2,12 132 2,14 134 2,13 133 2,19 139 2,15 135 2,16 136 2,14 134 2,17 137 2,10 130 2,15 135 2,18 138 2,19 139 2,14 134 2,16 136 2,18 138 2,13 133 2,14 134 2,15 135 2,16 136 2,17 137 2,17 137 2,19 139 2,10 130

Waktu Siklus Charging Menit Detik 5,49 349 5,53 353 5,32 332 5,57 357 5,47 347 5,32 332 5,46 346 5,42 342 6,03 363 5,52 352 5,58 358 6,01 361 5,51 351 5,37 337 5,42 342 5,45 345 5,50 350 5,46 346 5,38 338 5,45 345 5,46 346 6,02 362 5,37 337 5,56 356 5,55 355 5,51 351 5,41 341 6,17 377 5,39 339 5,59 359 5,43 343 5,51 351 5,48 348 5,39 339 5,46 346

Finishing Menit Detik 2,11 131 2,05 125 2,08 128 2,10 130 2,09 129 2,05 125 2,07 127 2,13 133 2,12 132 2,11 131 2,08 128 2,07 127 2,12 132 2,11 131 2,08 128 2,07 127 2,12 132 2,11 131 2,08 128 2,11 131 2,10 130 2,02 122 2,14 134 2,08 128 2,09 129 2,17 137 2,07 127 2,09 129 2,06 126 2,05 125 2,06 126 2,08 128 2,09 129 2,07 127 2,06 126

2,13 2,45 2,19 2,16 2,18 2,14 2,15 2,17 2,15 2,10 2,12 2,13 2,26 2,18 2,20

133 155 139 136 138 134 135 137 135 130 132 133 146 138 140

5,53 5,57 5,52 5,21 5,35 5,43 5,49 5,46 5,53 6,01 5,53 5,48 5,56 5,47 5,54

353 357 352 321 335 343 349 346 353 361 353 348 356 347 354

2,04 2,09 2,07 2,08 2,08 2,10 2,13 2,10 2,14 2,08 2,07 2,04 2,05 2,06 2,08

124 129 127 128 128 130 133 130 134 128 127 124 125 126 128

4.1.4 Data Work Sampling No

Time

Random Value

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

9.10 9.15 9.25 9.40 9.50 9.55 10.05 10.10 10.20 10.25 10.30 10.45 10.55 11.00 11.10 11.15 11.20 11.25 11.45 11.55 12.00

56 93 80 27 52 28 58 69 67 84 67 4 3 64 8 72 94 27 7 15 64

Remarks Produktive Non Produktive                     

22 23 24 25 26 27 28 29 30

13.05 13.10 13.20 13.25 13.50 13.55 14.10 14.15 14.20

     

93 82 19 78 89 50 51 34 58

  

4.2 Pengolahan Data 4.2.1 Pengolahan Data dengan Menggunakan Metode Jam Henti 4.2.1.1 Waktu Preparation 1. Uji Kenormalan Data H0 = Data observasi waktu waktu charging berdistribusi normal. H1 Xmax

= Data observasi waktu waktu charging tidak berdistribusi normal. = 140 detik

Xmin

= 130 detik

R

= Xmax – Xmin = 140-130 = 10 detik

No.

Batas Kelas

K

= 1+3,3 log 1,69 = 6,60 ≈ 7

H

= 10/6,60 = 1,51 ≈ 2

Interval kelas atas

= 130 + (2/2) = 131

Interval kelas bawah

= 130 - (2/2) = 129

Z1

Z2

PZ1

PZ2

Luas

Ei

Oi

Ei GAB

Oi GAB

X2 Hitung

Bawah

Atas

1

129,05

131,05

-1,98829

-1,27617

0,02339

0,100948

0,077558101

3,877905

9

3,8779

9

6,765472

2

131,05

133,05

-1,27617

-0,56405

0,100948

0,28636

0,185412051

9,270603

7

9,2706

7

0,556127

3

133,05

135,05

-0,56405

0,148068

0,28636

0,558856

0,272495393

13,62477

13

13,625

13

0,028649

4

135,05

137,05

0,148068

0,860186

0,558856

0,805157

0,24630122

12,31506

8

12,315

8

1,51195

5

137,05

139,05

0,860186

1,572304

0,805157

0,94206

0,136903163

6,845158

9

6

139,05

141,05

1,572304

2,284422

0,94206

0,988827

0,046766637

2,338332

1

9,1835

10

0,072596

Contoh perhitungan : Batas kelas atas

= 131 + 0,05 = 131,05

Batas kelas bawah

= 129 + 0,05 = 129,05

Z1 = Z2 =

Batas Kelas Bawah − x̅

=

σ Batas Kelas Bawah − x̅

=

σ

129,05−134,63 2,808 131,05−134,63 2,808

PZ1

= Distribusi normal dari nilai Z1

PZ2

= Distribusi norma dari nilai Z2

Ei

= (PZ2-PZ1) x n

= 1,988 = 1,276

= (0,100-0,023) x 47 = 3,877 Oi = Frekuensi Eigab > 2 Uji Chi-Square X2 Hitung = =

(𝑜−𝑒𝑖)2 𝑒𝑖 (9−3,877)2 3,877

+

(7−9,270)2 9,270

(13−13,625)2

+

13,625

+

(8−12,315)2

(10−9,183)2 9,183

= 6,765 + 0,556 + 0,459 + 0,095 + 0,067 = 9,52 V

=k-1 = 6-1= 5

α

= 0.05

X2 Tabel

= X2 (α;v) = X2 (0,05;5) = 11,07

12,315

+

Berdasarkan kurva diatas dapat dilihat nilai X2 Hitung < X2 Tabel, maka H0 diterima artinya data berdistribusi normal. 2. Uji Keseragaman Data Xi

Xi2

Xi-Xbar

(Xi-Xbar)2

1

134

17956

134,634

-0,634

2

135

18225

134,634

3 4

138

19044

131

17161

5

131

6

No.

Xbar

Keterangan

SD

BKA

BKB

0,402

2,808524

140,2512

129,0171

Valid

Valid

0,366

0,134

2,808524

140,2512

129,0171

Valid

Valid

134,634

3,366

11,329

2,808524

140,2512

129,0171

Valid

Valid

134,634

-3,634

13,207

2,808524

140,2512

129,0171

Valid

Valid

17161

134,634

-3,634

13,207

2,808524

140,2512

129,0171

Valid

Valid

130

16900

134,634

-4,634

21,475

2,808524

140,2512

129,0171

Valid

Valid

7

131

17161

134,634

-3,634

13,207

2,808524

140,2512

129,0171

Valid

Valid

8

130

16900

134,634

-4,634

21,475

2,808524

140,2512

129,0171

Valid

Valid

9

132

17424

134,634

-2,634

6,939

2,808524

140,2512

129,0171

Valid

Valid

10

134

17956

134,634

-0,634

0,402

2,808524

140,2512

129,0171

Valid

Valid

11

131

17161

134,634

-3,634

13,207

2,808524

140,2512

129,0171

Valid

Valid

12

132

17424

134,634

-2,634

6,939

2,808524

140,2512

129,0171

Valid

Valid

13

134

17956

134,634

-0,634

0,402

2,808524

140,2512

129,0171

Valid

Valid

14

133

17689

134,634

-1,634

2,670

2,808524

140,2512

129,0171

Valid

Valid

15

139

19321

134,634

4,366

19,061

2,808524

140,2512

129,0171

Valid

Valid

16

135

18225

134,634

0,366

0,134

2,808524

140,2512

129,0171

Valid

Valid

17

136

18496

134,634

1,366

1,866

2,808524

140,2512

129,0171

Valid

Valid

18

134

17956

134,634

-0,634

0,402

2,808524

140,2512

129,0171

Valid

Valid

19

137

18769

134,634

2,366

5,597

2,808524

140,2512

129,0171

Valid

Valid

20

130

16900

134,634

-4,634

21,475

2,808524

140,2512

129,0171

Valid

Valid

21

135

18225

134,634

0,366

0,134

2,808524

140,2512

129,0171

Valid

Valid

22

138

19044

134,634

3,366

11,329

2,808524

140,2512

129,0171

Valid

Valid

23

139

19321

134,634

4,366

19,061

2,808524

140,2512

129,0171

Valid

Valid

24

134

17956

134,634

-0,634

0,402

2,808524

140,2512

129,0171

Valid

Valid

25

136

18496

134,634

1,366

1,866

2,808524

140,2512

129,0171

Valid

Valid

26

138

19044

134,634

3,366

11,329

2,808524

140,2512

129,0171

Valid

Valid

27

133

17689

134,634

-1,634

2,670

2,808524

140,2512

129,0171

Valid

Valid

28

134

17956

134,634

-0,634

0,402

2,808524

140,2512

129,0171

Valid

Valid

29

135

18225

134,634

0,366

0,134

2,808524

140,2512

129,0171

Valid

Valid

30

136

18496

134,634

1,366

1,866

2,808524

140,2512

129,0171

Valid

Valid

31

137

18769

134,634

2,366

5,597

2,808524

140,2512

129,0171

Valid

Valid

32

137

18769

134,634

2,366

5,597

2,808524

140,2512

129,0171

Valid

Valid

33

139

19321

134,634

4,366

19,061

2,808524

140,2512

129,0171

Valid

Valid

34

130

16900

134,634

-4,634

21,475

2,808524

140,2512

129,0171

Valid

Valid

35

133

17689

134,634

-1,634

2,670

2,808524

140,2512

129,0171

Valid

Valid

36

139

19321

134,634

4,366

19,061

2,808524

140,2512

129,0171

Valid

Valid

37

136

18496

134,634

1,366

1,866

2,808524

140,2512

129,0171

Valid

Valid

38

138

19044

134,634

3,366

11,329

2,808524

140,2512

129,0171

Valid

Valid

39

134

17956

134,634

-0,634

0,402

2,808524

140,2512

129,0171

Valid

Valid

40

135

18225

134,634

0,366

0,134

2,808524

140,2512

129,0171

Valid

Valid

41

137

18769

134,634

2,366

5,597

2,808524

140,2512

129,0171

Valid

Valid

42

135

18225

134,634

0,366

0,134

2,808524

140,2512

129,0171

Valid

Valid

43

130

16900

134,634

-4,634

21,475

2,808524

140,2512

129,0171

Valid

Valid

44

132

17424

134,634

-2,634

6,939

2,808524

140,2512

129,0171

Valid

Valid

45

133

17689

134,634

-1,634

2,670

2,808524

140,2512

129,0171

Valid

Valid

46

138

19044

134,634

3,366

11,329

2,808524

140,2512

129,0171

Valid

Valid

47

140

19600

134,634

5,366

28,792

2,808524

140,2512

129,0171

Valid

Valid

6328

762831



Contoh Perhitungan 𝑥̅

=

∑𝑥𝑖 𝑁

=

6328 47

= 134,634 second

∑xi = The total of time N

= The total of data 𝜎 = =

√(∑𝑥𝑖 − 𝑥̅ )2 𝑁−1 √(−0,634)2 47

= 2,808 Diketahui: 𝑥̅

= 134,634

σ

= 2,808

BKA

= 𝑥̅ + (2 x σ )

= 134,634 + (2 x 2,808) = 140,251 BKB

= 𝑥̅ - (2 x σ ) = 134,634 - (2 x 2,808 ) = 129,017

142 140 138 136 134 132 130 128 126 124 122

Xi BKA BKB

1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46

Berdasarkan gambar di atas dapat dilihat bahwa tidak ada data yang melebihi nilai BKA (Batas Kontrol Atas) dan BKB (Batas Kontrol Bawah), maka data tersebut sudah seragam. 3.

Uji Kecukupan Diketahui: Tingkat kepercayaan = 95% => k = 2 S = 0,05 N

=[

𝑘 √𝑁 𝑥 𝑠

=[

∑𝑥𝑖 2 −( ∑𝑥𝑖)2 ∑𝑥𝑖

2

]

40√47 𝑥 762831− 40043584 6328

= 60369,269 Diketahui: Waktu Siklus (Ws) Penyesuaian (p) - Keterampilan - Usaha - Kondisi kerja - Kosistensi

= 2,14 menit => Average: = +0,06 (Good) C1 = +0,05 (Good) C2 = +0,00 (Average) = +0,01+ (Good)

Jumlah

= 0,12

2

]

Waktu normal (Wn)

= Ws x (1 + p) = 2,14 x (1 + 0,12) = 2,396 Menit

Kelonggaran (a) - Tenaga yang dikeluarkan - Sikap kerja - Gerakan kerja - Kelelahan mata - Keadaan suhu tempat kerja - Keadaan atmosfer - Kebutuhan pribadi

= 6% (Sangat ringan) = 1% (Berdiri) =0 (Normal) = 1% (Pandangan sambil lalu) = 5 % (Normal) = 3% (Cukup) = 2.5% +(Operator laki-laki)

Jumlah

= 18,5% = 0,185

Waktu baku (Wb)

= Wn x (1+a) = 2,396 x (1+0,185) = 2, 83 menit = 3,23 menit

4.2.1.2 Waktu Charging 1. Uji Kenormalan Data H0 = Data observasi waktu waktu charging berdistribusi normal. H1

= Data observasi waktu waktu charging tidak berdistribusi normal.

Xmax

= 363 detik

Xmin

= 355 detik

R

= Xmax – Xmin = 363-355 = 28 detik

No.

batas kelas

K

= 1+3,3 log 1,66 = 6,48 ≈ 7

H

= 28/6,48= 4,316≈5

Interval kelas atas

= 335 + (5/2) = 337,5

Interval kelas bawah

= 335 - (5/2) = 332,5

Z1

Z2

PZ1

PZ2

Luas

Ei

Oi

Ei GAB

Oi

X2

GAB

Hitung

7,75599

9

0,19953

11

10,6597

11

0,01086

12,384361

10

12,3844

10

0,45906

0,19711

9,0671094

10

9,06711

10

0,09598

0,96818

0,09092

4,1822558

5

0,99458

0,0264

1,2145306

1

5,39679

6

0,06742

Bawah

Atas

1

332,55

337,55

-2,3050222

-1,6117371

0,0105827

0,05351

0,04293

1,9746381

3

2

337,55

342,55

-1,6117371

-0,918452

0,0535096

0,17919

0,12568

5,7813515

6

3

342,55

347,55

-0,918452

-0,2251669

0,1791911

0,41092

0,23173

10,659744

4

347,55

352,55

-0,2251669

0,4681181

0,4109247

0,68015

0,26923

5

352,55

357,55

0,4681181

1,1614032

0,6801499

0,87726

6

357,55

362,55

1,1614032

1,8546883

0,877261

362,55

367,55

1,8546883

2,5479734

0,9681796

7

Contoh perhitungan : Batas kelas atas = 337,5 + 0,05 = 337,55 Batas kelas bawah = 332,5 + 0,05 = 332,55 Z1 = Z2 =

Batas Kelas Bawah − x̅ σ Batas Kelas Bawah − x̅ σ

= =

337,55−349,174 7,212 332,55−349,174 7,212

PZ1

= Distribusi normal dari nilai Z1

PZ2

= Distribusi norma dari nilai Z2

Ei

= (PZ2-PZ1) x n

= -2,305 = -1,611

= (0,010-0,053) x 46 = 1,974 Oi = Frekuensi Eigab > 2 Uji Chi-Square X2 Hitung = =

(𝑜−𝑒𝑖)2 𝑒𝑖 (9−7,755)2 7,755 (6−5,396)2

+

(11−10,659)2 10,659

(10−12,384)2

+

12,384

+

5,396

= 0,199 + 0,010 + 0,459 + 0,095 + 0,067 = 0,832 V

=k–1 = 7-1 = 6

(10−9,067)2 9,067

+

α

= 0.05

X2 Tabel

= X2 (α;v) = X2 (0,05;6) = 12,59

Berdasarkan kurva diatas dapat dilihat nilai X2 Hitung < X2 Tabel, maka H0 diterima artinya data berdistribusi normal. 4. Uji Keseragaman Data Xi

Xi2

Xbar

1

349

121801

349,174

-0,174

2

353

124609

349,174

3,826

3

357

127449

349,174

4

347

120409

5

346

6

342

7

No.

Xi-Xbar

(Xi-Xbar)2

SD

BKA

BKB

Keterangan

0,030246

7,21204

363,598

334,7498

Valid

Valid

14,63894

7,21204

363,598

334,7498

Valid

Valid

7,826

61,24764

7,21204

363,598

334,7498

Valid

Valid

349,174

-2,174

4,725898

7,21204

363,598

334,7498

Valid

Valid

119716

349,174

-3,174

10,07372

7,21204

363,598

334,7498

Valid

Valid

116964

349,174

-7,174

51,46503

7,21204

363,598

334,7498

Valid

Valid

363

131769

349,174

13,826

191,1607

7,21204

363,598

334,7498

Valid

Valid

8

352

123904

349,174

2,826

7,986767

7,21204

363,598

334,7498

Valid

Valid

9

358

128164

349,174

8,826

77,89981

7,21204

363,598

334,7498

Valid

Valid

10

361

130321

349,174

11,826

139,8563

7,21204

363,598

334,7498

Valid

Valid

11

351

123201

349,174

1,826

3,334594

7,21204

363,598

334,7498

Valid

Valid

12

337

113569

349,174

-12,174

148,2042

7,21204

363,598

334,7498

Valid

Valid

13

342

116964

349,174

-7,174

51,46503

7,21204

363,598

334,7498

Valid

Valid

14

345

119025

349,174

-4,174

17,42155

7,21204

363,598

334,7498

Valid

Valid

15

350

122500

349,174

0,826

0,68242

7,21204

363,598

334,7498

Valid

Valid

16

346

119716

349,174

-3,174

10,07372

7,21204

363,598

334,7498

Valid

Valid

17

338

114244

349,174

-11,174

124,8563

7,21204

363,598

334,7498

Valid

Valid

18

345

119025

349,174

-4,174

17,42155

7,21204

363,598

334,7498

Valid

Valid

19

346

119716

349,174

-3,174

10,07372

7,21204

363,598

334,7498

Valid

Valid

20

362

131044

349,174

12,826

164,5085

7,21204

363,598

334,7498

Valid

Valid

21

337

113569

349,174

-12,174

148,2042

7,21204

363,598

334,7498

Valid

Valid

22

356

126736

349,174

6,826

46,59546

7,21204

363,598

334,7498

Valid

Valid

23

355

126025

349,174

5,826

33,94329

7,21204

363,598

334,7498

Valid

Valid

24

351

123201

349,174

1,826

3,334594

7,21204

363,598

334,7498

Valid

Valid

25

341

116281

349,174

-8,174

66,81285

7,21204

363,598

334,7498

Valid

Valid

26

339

114921

349,174

-10,174

103,5085

7,21204

363,598

334,7498

Valid

Valid

27

359

128881

349,174

9,826

96,55198

7,21204

363,598

334,7498

Valid

Valid

28

343

117649

349,174

-6,174

38,1172

7,21204

363,598

334,7498

Valid

Valid

29

351

123201

349,174

1,826

3,334594

7,21204

363,598

334,7498

Valid

Valid

30

348

121104

349,174

-1,174

1,378072

7,21204

363,598

334,7498

Valid

Valid

31

339

114921

349,174

-10,174

103,5085

7,21204

363,598

334,7498

Valid

Valid

32

346

119716

349,174

-3,174

10,07372

7,21204

363,598

334,7498

Valid

Valid

33

353

124609

349,174

3,826

14,63894

7,21204

363,598

334,7498

Valid

Valid

34

357

127449

349,174

7,826

61,24764

7,21204

363,598

334,7498

Valid

Valid

35

352

123904

349,174

2,826

7,986767

7,21204

363,598

334,7498

Valid

Valid

36

335

112225

349,174

-14,174

200,8998

7,21204

363,598

334,7498

Valid

Valid

37

343

117649

349,174

-6,174

38,1172

7,21204

363,598

334,7498

Valid

Valid

38

349

121801

349,174

-0,174

0,030246

7,21204

363,598

334,7498

Valid

Valid

39

346

119716

349,174

-3,174

10,07372

7,21204

363,598

334,7498

Valid

Valid

40

353

124609

349,174

3,826

14,63894

7,21204

363,598

334,7498

Valid

Valid

41

361

130321

349,174

11,826

139,8563

7,21204

363,598

334,7498

Valid

Valid

42

353

124609

349,174

3,826

14,63894

7,21204

363,598

334,7498

Valid

Valid

43

348

121104

349,174

-1,174

1,378072

7,21204

363,598

334,7498

Valid

Valid

44

356

126736

349,174

6,826

46,59546

7,21204

363,598

334,7498

Valid

Valid

45

347

120409

349,174

-2,174

4,725898

7,21204

363,598

334,7498

Valid

Valid

46

354

125316

349,174

4,826

23,29112

7,21204

363,598

334,7498

Valid

Valid

16062

5610772

Contoh Perhitungan ∑𝑥𝑖

16062

𝑥̅

=

𝑥̅

= Average of Time

∑Xi

= Total of Time

N

= Total of Data

𝜎 = =

𝑁

=

46

= 349,174 second

√(∑𝑥𝑖 − 𝑥̅ )2 𝑁−1 √(−0,174)2 46

= 7,212 Diketahui:

𝑥̅

= 349,174

σ

= 7,212

BKA

= 𝑥̅ + (2 x σ ) = 349,174 + (2 x 7,212) = 363,598

BKB

= 𝑥̅ - (2 x σ ) = 349,174 - (2 x 7,212 ) = 334,749

370 365 360

355 350

Xi

345

BKA

340

BKB

335 330 325 320 1 3 5 7 9 111315171921232527293133353739414345

Berdasarkan gambar di atas dapat dilihat bahwa tidak ada data yang melebihi nilai BKA (Batas Kontrol Atas) dan BKB (Batas Kontrol Bawah), maka data tersebut sudah seragam. 5.

Uji Kecukupan Diketahui: Tingkat kepercayaan = 95% => k = 2 S = 0,05 N’

𝑘 √𝑁 𝑥 𝑠

=[

=[

∑𝑥𝑖 2 −( ∑𝑥𝑖)2 ∑𝑥𝑖

2

]

40√46 𝑥 5610772− 257987844 16062

= 60369,269 Diketahui: Waktu Siklus (Ws)

= 5,49 menit

2

]

Penyesuaian (p) - Keterampilan - Usaha - Kondisi kerja - Kosistensi

=> Average: = 0,06 (Good) C1 = 0,05 (Good) C2 = 0,0 = 0,01 + Jumlah = 0,12

Waktu normal (Wn)

= Ws x (1 + 0,12) = 5,49 x (1 + 0,12) = 6,14 Menit

Kelonggaran (a) - Tenaga yang dikeluarkan - Sikap kerja - Gerakan kerja - Kelelahan mata

= 0% = 0% = 0% = 0%

(Dapat Diabaikan) (Duduk) (Normal) (Pandangan yang hampir terus menurus) - Keadaan suhu tempat kerja = 4% (Normal) - Keadaan atmosfer - Kebutuhan pribadi

= 3% (Cukup) =2,5%+(Operator laki-laki)

Jumlah

= 9,5% = 0,095

Waktu baku (Wb)

= Wn x (1+a) = 6,14 x (1+0,095) = 6,72 menit = 7,12 menit

4.2.1.3 Waktu Finishing 1. Uji Kenormalan Data H0 = Data observasi waktu waktu charging berdistribusi normal. H1

= Data observasi waktu waktu charging tidak berdistribusi normal.

Xmax

= 133 detik

Xmin

= 124 detik

R

= Xmax – Xmin

= 363-355 = 9 detik

No.

Batas Kelas

K

= 1+3,3 log 1,67 = 6,51 ≈ 7

H

= 28/6,51= 1,38 ≈ 1,4

Interval kelas atas

= 124 + (1,4/2) = 124,7

Interval kelas bawah

= 124 - (1,4/2) = 123,30 EiGAB

OiGAB

X2 Hitung

7,387423

10

0,923943

8,878456

7

0,397434

10

10,73431

10

0,050233

9,215141

5

9,215141

5

1,928067

5,616901

9

5,616901

9

2,037665

2,430426

5

2,716687

Z1

Z2

PZ1

PZ2

Luas

Ei

124,75

-2,11072

-1,51688

0,017398

0,064649

0,047251

2,173532

2

126,15

-1,51688

-0,92303

0,064649

0,177995

0,113345

5,213891

8

126,15

127,55

-0,92303

-0,32919

0,177995

0,371004

0,19301

8,878456

7

4

127,55

128,95

-0,32919

0,264646

0,371004

0,604359

0,233355

10,73431

5

128,95

130,35

0,264646

0,858487

0,604359

0,804688

0,200329

6

130,35

131,75

0,858487

1,452328

0,804688

0,926795

0,122107

Bawah

Atas

1

123,35

2

124,75

3

7

131,75

133,15

1,452328

2,046168

0,926795

0,97963

0,052835

2,430426

Contoh perhitungan : Batas kelas atas = 124,7+ 0,05 = 124,75 Batas kelas bawah = 123,30 + 0,05 = 123,35 Z1 = Z2 =

Batas Kelas Bawah − x̅ σ Batas Kelas Bawah − x̅ σ

= =

123,35−128,326 2,808 124,75−128,326 2,808

PZ1

= Distribusi normal dari nilai Z1

PZ2

= Distribusi norma dari nilai Z2

Ei

= (PZ2-PZ1) x n = (0,064-0,017) x 47 = 2,173

Oi = Frekuensi Eigab > 2 Uji Chi-Square X2 Hitung =

(𝑜−𝑒𝑖)2 𝑒𝑖

= -2,110 = -1,516

Oi

5

=

(10−7,387)2

(7−8,878)2

+

7,387 8,878 (9−5,616)2 (5−2,43)2

+

5,616

+

(10−10,734)2 10,734

+

(5−9,215)2 9,215

+

2,43

= 0,923 + 0,397 + 0,050 + 1,928+ 2,037 +2,716 = 5,337 =k–1

V

= 7-1 = 6 α

= 0.05

X2 Tabel

= X2 (α;v) = X2 (0,05;6) = 12,59

Berdasarkan kurva diatas dapat dilihat nilai X2 Hitung < X2 Tabel, maka H0 diterima artinya data berdistribusi normal. 6. Uji Keseragaman Data No.

Xi

Xi2

Xbar

Xi-Xbar

(Xi-Xbar)2

SD

BKA

BKB

Keterangan

1

131

17161

128,3261

2,673913

7,149811

2,357535

133,0412

123,611

Valid

Valid

2

125

15625

128,3261

-3,32609

11,06285

2,357535

133,0412

123,611

Valid

Valid

3

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

4

130

16900

128,3261

1,673913

2,801985

2,357535

133,0412

123,611

Valid

Valid

5

129

16641

128,3261

0,673913

0,454159

2,357535

133,0412

123,611

Valid

Valid

6

125

15625

128,3261

-3,32609

11,06285

2,357535

133,0412

123,611

Valid

Valid

7

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

8

133

17689

128,3261

4,673913

21,84546

2,357535

133,0412

123,611

Valid

Valid

9

132

17424

128,3261

3,673913

13,49764

2,357535

133,0412

123,611

Valid

Valid

10

131

17161

128,3261

2,673913

7,149811

2,357535

133,0412

123,611

Valid

Valid

11

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

12

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

13

132

17424

128,3261

3,673913

13,49764

2,357535

133,0412

123,611

Valid

Valid

14

131

17161

128,3261

2,673913

7,149811

2,357535

133,0412

123,611

Valid

Valid

15

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

16

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

17

132

17424

128,3261

3,673913

13,49764

2,357535

133,0412

123,611

Valid

Valid

18

131

17161

128,3261

2,673913

7,149811

2,357535

133,0412

123,611

Valid

Valid

19

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

20

131

17161

128,3261

2,673913

7,149811

2,357535

133,0412

123,611

Valid

Valid

21

130

16900

128,3261

1,673913

2,801985

2,357535

133,0412

123,611

Valid

Valid

24

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

25

129

16641

128,3261

0,673913

0,454159

2,357535

133,0412

123,611

Valid

Valid

27

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

28

129

16641

128,3261

0,673913

0,454159

2,357535

133,0412

123,611

Valid

Valid

29

126

15876

128,3261

-2,32609

5,410681

2,357535

133,0412

123,611

Valid

Valid

30

125

15625

128,3261

-3,32609

11,06285

2,357535

133,0412

123,611

Valid

Valid

31

126

15876

128,3261

-2,32609

5,410681

2,357535

133,0412

123,611

Valid

Valid

32

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

33

129

16641

128,3261

0,673913

0,454159

2,357535

133,0412

123,611

Valid

Valid

34

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

35

126

15876

128,3261

-2,32609

5,410681

2,357535

133,0412

123,611

Valid

Valid

36

124

15376

128,3261

-4,32609

18,71503

2,357535

133,0412

123,611

Valid

Valid

37

129

16641

128,3261

0,673913

0,454159

2,357535

133,0412

123,611

Valid

Valid

38

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

39

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

40

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

41

130

16900

128,3261

1,673913

2,801985

2,357535

133,0412

123,611

Valid

Valid

42

133

17689

128,3261

4,673913

21,84546

2,357535

133,0412

123,611

Valid

Valid

43

130

16900

128,3261

1,673913

2,801985

2,357535

133,0412

123,611

Valid

Valid

45

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

46

127

16129

128,3261

-1,32609

1,758507

2,357535

133,0412

123,611

Valid

Valid

47

124

15376

128,3261

-4,32609

18,71503

2,357535

133,0412

123,611

Valid

Valid

48

125

15625

128,3261

-3,32609

11,06285

2,357535

133,0412

123,611

Valid

Valid

49

126

15876

128,3261

-2,32609

5,410681

2,357535

133,0412

123,611

Valid

Valid

50

128

16384

128,3261

-0,32609

0,106333

2,357535

133,0412

123,611

Valid

Valid

5903

757759

Contoh Perhitungan

𝑥̅ =

∑𝑥𝑖 𝑁

5903

=

46

= 128,32 detik

√(∑𝑥𝑖 − 𝑥̅ )2 𝜎 = 𝑁−1 =

√(−2,673)2 46

= 2,357 Diketahui: 𝑥̅

= 128,32

σ

= 2,357

BKA

= 𝑥̅ + (2 x σ ) = 128,32 + (2 x 2,357) = 133,041

BKB

= 𝑥̅ - (2 x σ ) = 128,32 - (2 x 2,357 ) = 123,611

134 132 130

128 Xi 126

BKA

124

BKB

122 120 118 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45

Berdasarkan gambar di atas dapat dilihat bahwa tidak ada data yang melebihi nilai BKA (Batas Kontrol Atas) dan BKB (Batas Kontrol Bawah), maka data tersebut sudah seragam. 7.

Uji Kecukupan Diketahui: Tingkat kepercayaan = 95% => k = 2 S = 0,05

N’

𝑘 √𝑁 𝑥 𝑠

=[

=[

∑𝑥𝑖 2 −( ∑𝑥𝑖)2 ∑𝑥𝑖

2

]

40√47 𝑥 762831− 40043584 ] 6328

= 43,89 data Diketahui: Waktu Siklus (Ws) Penyesuaian (p) - Keterampilan - Usaha - Kondisi kerja - Kosistensi

= 2,08 menit => Average = +0,06 = +0,05 = +0,00 = +0,01+ Jumlah = 0,12

Waktu normal (Wn)

= Ws x (1 + p) = 2,08 x (1 + 0,12 ) = 2,329 Menit

Kelonggaran (a) - Tenaga yang dikelarkan - Sikap kerja

= 6% (Sangat ringan) = 1% (Berdiri)

- Gerakan kerja - Kelelahan mata

=0 (Normal) = 2% (Pandangan yang hampir terus menurus) - Keadaan suhu tempat kerja = 5% (Normal) - Keadaan atmosfer - Kebutuhan pribadi

= 3% (Cukup) = 2,5% + (Operator laki-laki)

Jumlah

= 19,5 = 0,195

Waktu baku (Wb)

= Wn x (1+a) = 2,329 x (1+0,195) = 2,78 menit = 3,18 menit

4.2.2 Pengolahan Data dengan Menggunakan Work Sampling

Dari tabel pengumpulan data didapatkan bahwa jumlah produktif saat operator melakukan packing PET adalah 21 dan data non produktif sebanyak 9 data. Maka % produktifnya adalah : 𝐽𝑢𝑚𝑙𝑎ℎ 𝑃𝑟𝑜𝑑𝑢𝑘𝑡𝑖𝑓

%P = 𝐵𝑎𝑛𝑦𝑎𝑘𝑛𝑦𝑎 𝑝𝑒𝑛𝑔𝑎𝑚𝑎𝑡𝑎𝑛 21

= 30 = 70% %P =

𝑇ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑖𝑣𝑒 𝑤𝑜𝑟𝑘 𝑇ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑏𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛 21

= 30 𝑥 100% = 70%

Normal Time (NT) = 2,396 minutes Alowence (a) - Released Energy = 6% (Very Light) - Work Gesture = 1% (Standup) - Work Motion =0 (Normal) - Weariness of Eye = 1% (Usual) - Temperatur = 5 % (Normal) - Atomosfer = 3% (Enough) - Personal Needed = 2.5% + (Man) Total Standard Time (ST)

Cycle Time (CT) Work Factor (p) - Skill - Effort - Work Condition - Consistency

= 18,5% = 0,185 = NT x (1+a) = 2,396 x (1+0,185) = 2, 83 minutes = 3,23 minutes

= 2,14 menit => Average: = +0,06 (Good) C1 = +0,05 (Good) C2 = +0,00 (Average) = +0,01+ (Good)

Total

Normal Time (NT)

= 0,12

= CT x (1 + p) = 2,14 x (1 + 0,12) = 2,39 minutes

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