A component of an aerospace product that is manufactured has a  critical measurable quality characteristic that must be statistically controlled by means of a control chart. A sampling process was carried out  to obtain the following data in inches.      a) Construct the X and R control charts for this process.  Is the process under statistical control? If necessary revise the test control limits. b) Estimate the mean and standard deviation of the process. c) Perform a complete process capability analysis, if the product specifications are 10 ± 7. Interpret your results.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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A component of an aerospace product that is manufactured has a  critical measurable quality characteristic that must be statistically controlled by means of a control chart. A sampling process was carried out 
to obtain the following data in inches. 

 

 

a) Construct the X and R control charts for this process. 
Is the process under statistical control? If necessary revise the test control limits.


b) Estimate the mean and standard deviation of the process.


c) Perform a complete process capability analysis, if the product specifications are 10 ± 7. Interpret your results.


d) What is the value of the non-conforming fraction of the process and how many defective units per million (PPM) does it equal?

 

Muestra
X1
X2
X3
1
6
9
10
10
4
7
8
10
4
8
9.
9
10
7
6.
12
11
10
7
16
10
8
7
10
9.
9
7
8
10
16
17
12
11
8
12
14
12
13
9.
13
16
13
14
7
13
10
15
11
10
16
15
10
11
17
9
8
12
18
15
7
10
19
8
9
20
13
14
11
Transcribed Image Text:Muestra X1 X2 X3 1 6 9 10 10 4 7 8 10 4 8 9. 9 10 7 6. 12 11 10 7 16 10 8 7 10 9. 9 7 8 10 16 17 12 11 8 12 14 12 13 9. 13 16 13 14 7 13 10 15 11 10 16 15 10 11 17 9 8 12 18 15 7 10 19 8 9 20 13 14 11
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