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 on page 794. The means are - 9.81 R=1.14, and 3= 0.4647. a. Compute the 30 limits for the R chart. Is the variance out of control at any point? If so, delete the samples that are out of control and recompute X and R. b. Compute the 3ơ limits for the X chart. On the basis 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 detected to be out of control? TABLE E10 Data for Exercise 10 Page 794 Sample Sample Values 9.8 10.3 9.7 9.9 10.2 9.98 0.6 0.26 9.9 9.4 10.0 9.4 10.2 9.78 9.66 10.06 0.8 0.36 9.6 0.63 9.0 10.1 9.9 9.2 10.6 1.6 4 10.6 10.3 9.6 9.7 1.0 0.42 10.8 9.4 9.9 10.1 10.1 10.06 1.4 0.50 10.3 10.1 10.0 9.5 9.8 9.94 0.8 0.30 8.8 9.3 9.9 8.9 9.3 9.24 1.1 0.43 9.4 9.7 9.4 9.9 10.5 9.78 1.1 0.45 9.1 8.9 9.8 9.0 9.3 9.22 0.9 0.36 10 8.9 9.4 10.6 9.4 8.7 9.40 1.9 0.74 11 9.0 8.6 9.9 9.6 10.5 9.52 1.9 0.75 12 9.5 9.2 9.4 9.3 9.6 9.40 0.4 0.16 13 9.0 9.4 9.7 9.4 8.6 9.22 1.1 0.43 9.4 9.4 9.6 14 9.2 9.4 9.3 9.7 9.40 0.5 0.19 15 10.2 9.0 8.8 10.2 9.52 1.4 0.66 16 9.5 10.0 9.3 9.4 9.56 0.7 0.27 10.0 9.9 17 10.2 8.8 10.1 10.1 9.84 1.4 0.59 18 10.4 9.4 9.4 9.9 9.80 1.0 0.42 19 11.1 10.5 10.6 9.8 9.4 10.28 1.7 0.68 20 9.3 9.9 10.9 9.5 10.6 10.04 1.6 0.69 21 9.5 10.2 9.7 9.4 10.0 9.76 0.8 0.34 22 10.5 10.5 10.1 9.5 10.3 10.18 1.0 0.41 23 9.8 8.9 9.6 9.8 9.6 9.54 0.9 0.37 24 9.3 9.7 10.3 10.1 9.7 9.82 1.0 0.39 25 10.2 9.6 8.8 9.9 10.2 9.74 1.4 0.58 26 10.8 9.5 10.5 10.5 10.1 10.28 1.3 0.50 27 10.4 9.9 10.1 9.9 10.9 10.24 1.0 0.42 28 11.0 10.8 10.1 9.2 9.9 10.20 1.8 0.72 29 10.3 10.0 10.6 10.0 11.1 10.40 1.1 0.46 30 10.9 10.6 9.9 10.0 10.8 10.44 1.0 0.46
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 on page 794. The means are - 9.81 R=1.14, and 3= 0.4647. a. Compute the 30 limits for the R chart. Is the variance out of control at any point? If so, delete the samples that are out of control and recompute X and R. b. Compute the 3ơ limits for the X chart. On the basis 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 detected to be out of control? TABLE E10 Data for Exercise 10 Page 794 Sample Sample Values 9.8 10.3 9.7 9.9 10.2 9.98 0.6 0.26 9.9 9.4 10.0 9.4 10.2 9.78 9.66 10.06 0.8 0.36 9.6 0.63 9.0 10.1 9.9 9.2 10.6 1.6 4 10.6 10.3 9.6 9.7 1.0 0.42 10.8 9.4 9.9 10.1 10.1 10.06 1.4 0.50 10.3 10.1 10.0 9.5 9.8 9.94 0.8 0.30 8.8 9.3 9.9 8.9 9.3 9.24 1.1 0.43 9.4 9.7 9.4 9.9 10.5 9.78 1.1 0.45 9.1 8.9 9.8 9.0 9.3 9.22 0.9 0.36 10 8.9 9.4 10.6 9.4 8.7 9.40 1.9 0.74 11 9.0 8.6 9.9 9.6 10.5 9.52 1.9 0.75 12 9.5 9.2 9.4 9.3 9.6 9.40 0.4 0.16 13 9.0 9.4 9.7 9.4 8.6 9.22 1.1 0.43 9.4 9.4 9.6 14 9.2 9.4 9.3 9.7 9.40 0.5 0.19 15 10.2 9.0 8.8 10.2 9.52 1.4 0.66 16 9.5 10.0 9.3 9.4 9.56 0.7 0.27 10.0 9.9 17 10.2 8.8 10.1 10.1 9.84 1.4 0.59 18 10.4 9.4 9.4 9.9 9.80 1.0 0.42 19 11.1 10.5 10.6 9.8 9.4 10.28 1.7 0.68 20 9.3 9.9 10.9 9.5 10.6 10.04 1.6 0.69 21 9.5 10.2 9.7 9.4 10.0 9.76 0.8 0.34 22 10.5 10.5 10.1 9.5 10.3 10.18 1.0 0.41 23 9.8 8.9 9.6 9.8 9.6 9.54 0.9 0.37 24 9.3 9.7 10.3 10.1 9.7 9.82 1.0 0.39 25 10.2 9.6 8.8 9.9 10.2 9.74 1.4 0.58 26 10.8 9.5 10.5 10.5 10.1 10.28 1.3 0.50 27 10.4 9.9 10.1 9.9 10.9 10.24 1.0 0.42 28 11.0 10.8 10.1 9.2 9.9 10.20 1.8 0.72 29 10.3 10.0 10.6 10.0 11.1 10.40 1.1 0.46 30 10.9 10.6 9.9 10.0 10.8 10.44 1.0 0.46
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text: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 on page 794. The means are - 9.81
R=1.14, and 3= 0.4647.
a. Compute the 30 limits for the R chart. Is the variance out of control at any point? If so,
delete the samples that are out of control and recompute X and R.
b. Compute the 3ơ limits for the X chart. On the basis 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 detected to be out of control?
TABLE E10 Data for Exercise 10
Page 794
Sample
Sample Values
9.8
10.3
9.7
9.9
10.2
9.98
0.6
0.26
9.9
9.4
10.0
9.4
10.2
9.78
9.66
10.06
0.8
0.36
9.6
0.63
9.0
10.1
9.9
9.2
10.6
1.6
4
10.6
10.3
9.6
9.7
1.0
0.42
10.8
9.4
9.9
10.1
10.1
10.06
1.4
0.50
10.3
10.1
10.0
9.5
9.8
9.94
0.8
0.30
8.8
9.3
9.9
8.9
9.3
9.24
1.1
0.43
9.4
9.7
9.4
9.9
10.5
9.78
1.1
0.45
9.1
8.9
9.8
9.0
9.3
9.22
0.9
0.36
10
8.9
9.4
10.6
9.4
8.7
9.40
1.9
0.74
11
9.0
8.6
9.9
9.6
10.5
9.52
1.9
0.75
12
9.5
9.2
9.4
9.3
9.6
9.40
0.4
0.16
13
9.0
9.4
9.7
9.4
8.6
9.22
1.1
0.43
9.4
9.4
9.6
14
9.2
9.4
9.3
9.7
9.40
0.5
0.19
15
10.2
9.0
8.8
10.2
9.52
1.4
0.66
16
9.5
10.0
9.3
9.4
9.56
0.7
0.27
10.0
9.9
17
10.2
8.8
10.1
10.1
9.84
1.4
0.59
18
10.4
9.4
9.4
9.9
9.80
1.0
0.42
19
11.1
10.5
10.6
9.8
9.4
10.28
1.7
0.68
20
9.3
9.9
10.9
9.5
10.6
10.04
1.6
0.69
21
9.5
10.2
9.7
9.4
10.0
9.76
0.8
0.34
22
10.5
10.5
10.1
9.5
10.3
10.18
1.0
0.41
23
9.8
8.9
9.6
9.8
9.6
9.54
0.9
0.37
24
9.3
9.7
10.3
10.1
9.7
9.82
1.0
0.39
25
10.2
9.6
8.8
9.9
10.2
9.74
1.4
0.58
26
10.8
9.5
10.5
10.5
10.1
10.28
1.3
0.50
27
10.4
9.9
10.1
9.9
10.9
10.24
1.0
0.42
28
11.0
10.8
10.1
9.2
9.9
10.20
1.8
0.72
29
10.3
10.0
10.6
10.0
11.1
10.40
1.1
0.46
30
10.9
10.6
9.9
10.0
10.8
10.44
1.0
0.46
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