3. A certain type of integrated circuit is connected to its frame by five wires. Thirty samples of five units each were taken, and the pull strength (in grams) of one wire on each unit was measured. The data are presented in Table E10 below. The means are X = 9.81, R = 1.14, and 3 = 0.4647. a. Compute the 3o limits for the R chart. Is the vari- ance out of control at any point? If so, delete the samples that are out of control and recompute X and R. b. Compute the 30 limits for the X chart. On the ba- sis of the 30 limits, is the process mean in control? If not, at what point is it first detected to be out of control? c. On the basis of the Western Electric rules, is the process mean in control? If not, when is it first de- tected to be out of control? d. Repeat (a-b) using the S chart instead of the R chart. TABLE E10 Sample Sample Values 9.8 9.7 9.9 10.2 9.4 10.0 9.4 10.2 9.2 10.6 97 10.3 9.9 9.0 9.9 101 9.6 96 106 103 X 9.98 9.78 9.66 10.06
3. A certain type of integrated circuit is connected to its frame by five wires. Thirty samples of five units each were taken, and the pull strength (in grams) of one wire on each unit was measured. The data are presented in Table E10 below. The means are X = 9.81, R = 1.14, and 3 = 0.4647. a. Compute the 3o limits for the R chart. Is the vari- ance out of control at any point? If so, delete the samples that are out of control and recompute X and R. b. Compute the 30 limits for the X chart. On the ba- sis of the 30 limits, is the process mean in control? If not, at what point is it first detected to be out of control? c. On the basis of the Western Electric rules, is the process mean in control? If not, when is it first de- tected to be out of control? d. Repeat (a-b) using the S chart instead of the R chart. TABLE E10 Sample Sample Values 9.8 9.7 9.9 10.2 9.4 10.0 9.4 10.2 9.2 10.6 97 10.3 9.9 9.0 9.9 101 9.6 96 106 103 X 9.98 9.78 9.66 10.06
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:TABLE E10
Sample
TERASATSOMAANGEPAS
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
27
28
29
30
Sample Values
10.3 9.8 9.7 9.9 10.2
9.4 10.0 9.4 10.2
9.9 9.6
9.9
9.0
9.2 10.6
10.1 10.6 10.3 9.6 9.7
10.8 9.4 9.9 10.1 10.1
10.3 10.1 10.0 9.5 9.8
8.8 9.3 9.9 8.9 9.3
9.4 9.7 9.4 9.9 10.5
9.1 8.9 9.8 9.0 9.3
8.9 9.4 10.6 9.4 8.7
9.0 8.6 9.9 9.6 10.5
9.5 9.2 9.4 9.3 9.6
9.0 9.4 9.7 9.4 8.6
9.4 9.3 9.7
9.4 9.2
9.4 10.2 9.0 8.8 10.2
9.6 9.5 10.0 9.3 9.4
10.2 8.8 10.0 10.1 10.1
10.4 9.4 9.9 9.4 9.9
11.1 10.5 10.6 9.8 9.4
9.3 9.9 10.9 9.5 10.6
9.5 10.2 9.7 9.4 10.0
10.5 10.5 10.1 9.5 10.3
9.8 8.9 9.6 9.8 9.6
9.3 9.7 10.3 10.1 9.7
10.2 9.6 8.8 9.9 10.2
10.8 9.5 10.5 10.5 10.1
10.4 9.9 10.1 9.9 10.9
11.0 10.8 10.1 9.2 9.9
10.3 10.0 10.6 10.0 11.1
10.9 10.6 9.9 10.0 10.8
X
9.98
9.78
9.66
10.06.
10.06
9.94
9.24
9.78
9.22
9.40
9.52
9.40
9.22
9.40
9.52
9.56
9.84
9.80
10.28
10.04
9.76
10.18
9.54
9.82
9.74
10.28
10.24
10.20
10.40
10.44
R
0.6
0.8
1.6
1.0
1.4
0.8
1.1
1.1
0.9
1.9
1.9
0.4
1.1
0.5
1.4
0.7
1.4
1.0
1.7
1.6
0.8
1.0
0.9
1.0
1.4
1.3
1.0
1.8
1.1
1.0
S
0.26
0.36
0.63
0.42
0.50
0.30
0.43
0.45
0.36
0.74
0.75
0.16
0.43
0.19
0.66
0.27
0.59
0.42
0.68
0.69
0.34
0.41
0.37
0.39
0.58
0.50
0.42
0.72
0.46
0.46
Transcribed Image Text:3.
A certain type of integrated circuit is connected to
its frame by five wires. Thirty samples of five units
each were taken, and the pull strength (in grams) of
one wire on each unit was measured. The data are
presented in Table E10 below.
The means are
X = 9.81, R = 1.14, and 3 = 0.4647.
a. Compute the 30 limits for the R chart. Is the vari-
ance out of control at any point? If so, delete the
samples that are out of control and recompute X
and R.
b. Compute the 30 limits for the X chart. On the ba-
sis of the 30 limits, is the process mean in control?
If not, at what point is it first detected to be out of
control?
c. On the basis of the Western Electric rules, is the
process mean in control? If not, when is it first de-
tected to be out of control?
d. Repeat (a-b) using the S chart instead of the R chart.
TABLE E10
Sample
2
Sample Values
10.3 9.8 9.7 9.9 10.2
9.9
9.4 10.0 9.4 10.2
9.0 9.9 9.6 9.2 10.6
10.1 10.6 10.3
9.6 9.7
X
9.98
9.78
9.66
10.06
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