Transcript Materi 5 Peta Kendali Atribut- lanjutan2

Control Chart fo Attribute
c-Chart untuk jumlah jenis cacat
(n konstan)
• No Standard Given
•
•
•
Clc = c
UCLc = c + 3 √ c
UCLc = c - 3 √ c
• Standard Given
•
Clc = co
•
UCLc = co + 3 √ co
•
UCLc = co - 3 √ co
Sampel
number
Numb. Of
nonconformities
Sampel
number
Numb of
nonconformities
1
5
14
11
2
4
15
9
3
7
16
5
4
6
17
7
5
8
18
6
6
5
19
10
7
6
20
8
8
5
21
9
9
16
22
9
10
10
23
7
11
9
24
5
12
7
25
7
13
8
Total
189
CLc = 189/25 = 7.560
UCLc = 7.560 + 3 √ 7.560 = 15.809
LCLc = 7.560 – 3 √ 7.560 = -0.689 0
Setelah data no 9 dikoreksi
CLc = (189-16) /24 = 7.208
UCLc = 7.208 + 3 √ 7.208 = 15.262
LCLc = 7.208– 3 √ 7.208= -0.846 0
u-Chart untuk memetakan jumlah cacat dalam
per unit
•
Jika ukuran sub grup konstan (n
konstan)
sampel = i
jumlah cacat per unit = ui
ui = ci/n
g
∑ ci
u = i=1
ng
UCLu/LCLu = u + 3 u/n
• Jika ukuran sub group bervariasi
ui = ci / ni
g
∑ ci
u = i=1
g
∑ ni
i=1
UCLu/LCLu = u + 3 u/ni
Bangun bagan kendali bagi jumlah cacat
dalam 100m2
Sample
number
Amount of
inspected
in m2
1
200
2
Sample
number
Amount
of
inspected
in m2
5
11
300
9
300
14
12
250
16
3
250
8
13
200
12
4
150
8
14
250
10
5
250
12
15
100
6
6
100
6
16
200
8
7
200
20
17
200
5
8
150
10
18
100
5
9
150
6
19
300
14
10
250
10
20
200
8
Total
Numb. Of
non
conformities
ci
Numb. Of
non
conformities
ci
Sample
number
Amount of
inspected
in m2
Numb. Of
non
conformities
Per 100m2
ui
6.4Sample
n6umber
4
Amount of
inspected
in m2
Numb. Of
non
conformities
Per 100m2
ui
1
2
2.5
11
3
3
2
3
4.667
12
2.5
6.4
3
2.5
3.2
13
2
6
4
1.5
5.333
14
2.5
4
5
2.5
4.8
15
1
6
6
16
2
4
6
7
2
10
17
2
2.5
8
1.5
6.667
18
1
5
9
1.5
4
19
3
4.667
10
2.5
4
20
2
4
Total
u = 192 / 41 = 4.683
41
UCL/LCL = 4.683 + 3 √ 4.683/2 = 9.274 dan 0.092
Sam num
ni
ui
UCL
LCL
1
2
2.5
9.274
0.092
2
3
4.667
8.431
0.935
3
2.5
3.2
8.789
0.577
4
1.5
5.333
9.984
0
5
2.5
4.8
8.789
0.577
6
1
6
11.175
0
7
2
10
9.274
0.092
8
1.5
6.667
9,984
0
9
1.5
4
9.984
0
10
2.5
4
8.789
0.577
11
3
3
8.431
0.935
12
2.5
6.4
0.577
0.577
13
2
6
9.274
0.092
14
2.5
4
8.789
0.577
15
1
6
11.175
0
16
2
4
9.274
0.092
17
2
2.5
9.274
0.092
18
1
5
11.175
0
19
3
4.667
8.431
0.935
20
2
4
9.274
0.092
Total
41