A component part of an aircraft turbine is manufactured by a casting process. The part  has a critical measurable quality characteristic that must be statistically controlled by  means of a control chart. For this purpose a sampling process was carried out obtaining the following  coded data:   (image) a) Construct the X and S control charts for this process.  Is the process under statistical control? If necessary revise the test control limits. b) Perform a complete analysis of the current process capability, if the product specifications are 33 ± 6. Interpret your results. c) How much would the process variation have to be reduced to have a six sigma level process?

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A component part of an aircraft turbine is manufactured by a casting process. The part 
has a critical measurable quality characteristic that must be statistically controlled by 
means of a control chart. For this purpose a sampling process was carried out obtaining the following 
coded data:

 

(image)


a) Construct the X and S control charts for this process. 
Is the process under statistical control? If necessary revise the test control limits.
b) Perform a complete analysis of the current process capability, if the product specifications are 33 ± 6. Interpret your results.
c) How much would the process variation have to be reduced to have a six sigma level process?

Muestra
X1
X2
X3
X4
1
33
29
31
32
2
33
31
35
37
35
37
33
34
4
30
31
33
34
33
34
35
33
38
37
39
40
7
30
31
32
34
29
39
38
39
9
28
33
35
36
10
38
33
32
35
11
28
30
28
32
12
31
35
35
35
13
27
32
34
35
14
33
33
35
37
15
35
37
32
35
N3
LO CO
Transcribed Image Text:Muestra X1 X2 X3 X4 1 33 29 31 32 2 33 31 35 37 35 37 33 34 4 30 31 33 34 33 34 35 33 38 37 39 40 7 30 31 32 34 29 39 38 39 9 28 33 35 36 10 38 33 32 35 11 28 30 28 32 12 31 35 35 35 13 27 32 34 35 14 33 33 35 37 15 35 37 32 35 N3 LO CO
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