what is the lower control limit for the most appropriate control chart and the upper boundary value between Zone B and Zone C

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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what is the lower control limit for the most appropriate control chart and the upper boundary value between Zone B and Zone C
• Each day a sample of 100 towels is randomly selected. The number of
towels found defective in the sample is recorded.
# Defects
Sample #
1
Sp=
23456789
total # defects
total # observations
P (1-P)
n
10
3248642
12
10
10
UCLp = p + Z
p(1-P)
n
Sample #
11
12
13
14
15
16
17
18
19
20
# Defects
13
11
14
11
9
16
12
15
18
18
Total = 204
LCLp = p-Z
P (1-P)
n
where Z is number of standard deviations,
usually Z = 3 unless told otherwise
Transcribed Image Text:• Each day a sample of 100 towels is randomly selected. The number of towels found defective in the sample is recorded. # Defects Sample # 1 Sp= 23456789 total # defects total # observations P (1-P) n 10 3248642 12 10 10 UCLp = p + Z p(1-P) n Sample # 11 12 13 14 15 16 17 18 19 20 # Defects 13 11 14 11 9 16 12 15 18 18 Total = 204 LCLp = p-Z P (1-P) n where Z is number of standard deviations, usually Z = 3 unless told otherwise
Every 12 hours, 90 parts are randomly sampled and the # of defective parts (out of 90) is
recorded. Results from 16 samples follow:
Sample Defects
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
3
11
5
2
8
0
19
7
9
3
6
9
10
4
8
5
Total # of defects: 99
total # of observations=90*16 = 1440
What is the value of the statistic plotted for sample 2? [go out 4 decimal places
Transcribed Image Text:Every 12 hours, 90 parts are randomly sampled and the # of defective parts (out of 90) is recorded. Results from 16 samples follow: Sample Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 3 11 5 2 8 0 19 7 9 3 6 9 10 4 8 5 Total # of defects: 99 total # of observations=90*16 = 1440 What is the value of the statistic plotted for sample 2? [go out 4 decimal places
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