The data shown in Table 1 are the deviations from nominal diameter for holes drilled in a carbon-fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten-thousandths of an inch. (a) Set up and R charts on the process. Is the process in statistical control? (b) Estimate the process standard deviation using the range method. (c) If specifications are at nominal ±100, what can you say about the capability of this process? Calculate the PCR Cp Table 1. Hole Diameter Data Sample Number X1 X2 X3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 -30 -20 +10 +30 +50 0 +50 -60 -20 +30 -50 +10 +20 -10 -10 +30 -20 +20 -40 +50 +20 0 0 +70 0 +10 0 0 0 -30 0 +20 +20 0 0 +20 +10 -20 +50 -10 +50 0 +40 +20 +40 +30 +20 +30 +30 -30 0 +30 -10 +50 +10 -10 +50 +30 +20 +30 +20 +30 +30 +50 +40 X4 X5 0 +30 +20 +50 +10 -40 +20 -20 -10 -10 0 -20 +10 +10 +50 0 +20 +10 +40 +10 +10 -10 -30 +40 -10 +30 -20 +30 +10 +20 0 +30 +10 0 0

The data shown in Table 1 are the deviations from nominal diameter for holes drilled in a carbon-fiber composite material used in aerospace manufacturing. The values reported are deviations from nominal in ten-thousandths of an inch. (a) Set up and R charts on the process. Is the process in statistical control? (b) Estimate the process standard deviation using the range method. (c) If specifications are at nominal ±100, what can you say about the capability of this process? Calculate the PCR Cp Table 1. Hole Diameter Data Sample Number X1 X2 X3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 -30 -20 +10 +30 +50 0 +50 -60 -20 +30 -50 +10 +20 -10 -10 +30 -20 +20 -40 +50 +20 0 0 +70 0 +10 0 0 0 -30 0 +20 +20 0 0 +20 +10 -20 +50 -10 +50 0 +40 +20 +40 +30 +20 +30 +30 -30 0 +30 -10 +50 +10 -10 +50 +30 +20 +30 +20 +30 +30 +50 +40 X4 X5 0 +30 +20 +50 +10 -40 +20 -20 -10 -10 0 -20 +10 +10 +50 0 +20 +10 +40 +10 +10 -10 -30 +40 -10 +30 -20 +30 +10 +20 0 +30 +10 0 0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The data shown in Table 1 are the deviations from nominal diameter for holes drilled in a
carbon-fiber composite material used in aerospace manufacturing. The values reported are
deviations from nominal in ten-thousandths of an inch.
(a) Set up and R charts on the process. Is the process in statistical control?
(b) Estimate the process standard deviation using the range method.
(c) If specifications are at nominal ±100, what can you say about the capability of this
process? Calculate the PCR Cp
Table 1. Hole Diameter Data
Sample
Number X1 X2
1
2
3
4
5
6
7
8
9
10
11
12
14
15
16
17
18
19
20
-30 +50
0
-50
-10 -10
+20
-40
0
0
-30
0
+20
0
0
+70
0
+10
+40
+30
+30
+30
+10
0
+20
+50
+50
-20
+50 -60
+10
0
0
+20
+10 -20
-10
0
+20
X3 X4 X5
-30
+20
+30
+50
+40
+20
+30
+20
+30
+20
+30
0
+20
+10 +40
+10 +10
-10 +50
-10 -30
-10
+50
+40
0
+30
-10
0
+30
+30
-20
+50 +30 +10
+40
+20
0 +30
+10 +30
-20 +30
+30
+20
-20 +50
+20
+10
-40 +20
-20
-10
-10
0
-20
+10
+10 +50
0
+10

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