Scribd
Upload
61 views9 pages

Sample Size 100 Sample Number of Defects P UCL LCL

The document contains data from a sample of 30 items including the sample number, number of defects, upper control limit (UCL), and lower control limit (LCL). It also includes calculations to determine the UCL and LCL values.

Uploaded by

Mary
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
61 views9 pages

Sample Size 100 Sample Number of Defects P UCL LCL

The document contains data from a sample of 30 items including the sample number, number of defects, upper control limit (UCL), and lower control limit (LCL). It also includes calculations to determine the UCL and LCL values.

Uploaded by

Mary
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
You are on page 1/ 9

sample size 100

SAMPLE NUMBER OF DEFECTS P UCL LCL


1 12 0.12 0.2571 0.0429
2 13 0.13 0.2571 0.0429
3 10 0.1 0.2571 0.0429
4 16 0.16 0.2571 0.0429
5 12 0.12 0.2571 0.0429
6 18 0.18 0.2571 0.0429
7 14 0.14 0.2571 0.0429
8 20 0.2 0.2571 0.0429
9 19 0.19 0.2571 0.0429
10 17 0.17 0.2571 0.0429
11 9 0.09 0.2571 0.0429
12 11 0.11 0.2571 0.0429
13 14 0.14 0.2571 0.0429
14 12 0.12 0.2571 0.0429
15 8 0.08 0.2571 0.0429
16 3 0.03 0.2571 0.0429
17 7 0.07 0.2571 0.0429
18 6 0.06 0.2571 0.0429
19 10 0.1 0.2571 0.0429
20 26 0.26 0.2571 0.0429
21 14 0.14 0.2571 0.0429
22 20 0.2 0.2571 0.0429
23 22 0.22 0.2571 0.0429
24 24 0.24 0.2571 0.0429
25 18 0.18 0.2571 0.0429 0.3
26 18 0.18 0.2571 0.0429
27 19 0.19 0.2571 0.0429
0.25
28 20 0.2 0.2571 0.0429
29 17 0.17 0.2571 0.0429
30 18 0.18 0.2571 0.0429 0.2
4.47
P bar 0.15 0.15

0.1

0.05

0
1 2 3 4
0.05

0
1 2 3 4
p chart
standard deviation of sampling distribution( sigma p)
sqrt { [ pbar *(1 - pbar) ] /100 }

sqrt { [ 0.15 *(1 - 0.15) ] /100 }

sigma p 0.0357

UCL

pbar + 3 * sigma p

0.15 + 3 * 0.0357

0.2571

LCL

pbar - 3 * sigma p

0.15 - 3 * 0.0357

0.0429

P CHART
0.3

0.25

0.2

0.15

0.1

0.05

0
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 26 27 28 29 30

P UCL LCL
0.05

0
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 26 27 28 29 30

P UCL LCL
27 28 29 30
27 28 29 30
SAMPLE NUMBER OF DEFECTS UCL LCL
1 12 26.48 3.3198
2 13 26.48 3.3198
3 10 26.48 3.3198
4 16 26.48 3.3198
5 12 26.48 3.3198
6 18 26.48 3.3198
7 14 26.48 3.3198
8 20 26.48 3.3198
9 19 26.48 3.3198
10 17 26.48 3.3198
11 9 26.48 3.3198
12 11 26.48 3.3198
13 14 26.48 3.3198
14 12 26.48 3.3198
15 8 26.48 3.3198
16 3 26.48 3.3198
17 7 26.48 3.3198
18 6 26.48 3.3198 30
19 10 26.48 3.3198
20 26 26.48 3.3198
21 14 26.48 3.3198 25
22 20 26.48 3.3198
23 22 26.48 3.3198
24 24 26.48 3.3198 20
25 18 26.48 3.3198
26 18 26.48 3.3198
27 19 26.48 3.3198 15
28 20 26.48 3.3198
29 17 26.48 3.3198
30 18 26.48 3.3198 10
447
C BAR 14.9
5

0
1 2 3 4 5
C CHART
UCL

C bar + 3 * sqrt( C bar)

14.9 + 3 * sqrt (14.9 )

26.48
LCL

C bar - 3 * sqrt( C bar)

14.9 + 3 * sqrt (14.9 )

3.3198

C CHART
30

25

20

15

10

0
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 26

NUMBER OF DEFECTS UCL LCL


9 20 21 22 23 24 25 26 27 28 29 30

LCL

You might also like