Samples of eight bolts are taken periodically, and their diameters (in mm) are measured. The following table presents the means, ranges, and standard deviations for 25 consecutive samples. Sample х R 1. 9.99 0.28 0.09 2 10.02 0.43 0.13 10.10 0.16 0.05 9.90 0.26 0.09 9.92 0.22 0.07 10.05 0.40 0.15 9.97 0.08 0.03 9.93 0.48 0.15 10.01 0.25 0.09 10 9.87 0.29 0.10 11 9.90 0.39 0.14 12 9.97 0.27 0.08 13 10.02 0.20 0.07 14 9.99 0.37 0.13 15 9.99 0.20 0.06 16 10.04 0.26 0.09 17 10.07 0.23 0.07 18 10.04 0.35 0.12 19 9.95 0.25 0.09 20 9.98 0.15 0.06 21 9.98 0.30 0.10 22 10.02 0.14 0.06 23 9.94 0.24 0.07 24 10.04 0.13 0.04 25 10.04 0.24 0.07 The means are X = 9.9892, R = 0.2628, and = 0.0880 Calculate the 30 control limits for the R chart. Is the variance under control? If not, delete the samples that are out of control and recompute Y and R. a. b. Based on the sample range R, calculate the 30 control limits for the X chart. Based on the 30 limits, is the process mean in control? If not, when is it first detected to be out of control? Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? C. 4.
Samples of eight bolts are taken periodically, and their diameters (in mm) are measured. The following table presents the means, ranges, and standard deviations for 25 consecutive samples. Sample х R 1. 9.99 0.28 0.09 2 10.02 0.43 0.13 10.10 0.16 0.05 9.90 0.26 0.09 9.92 0.22 0.07 10.05 0.40 0.15 9.97 0.08 0.03 9.93 0.48 0.15 10.01 0.25 0.09 10 9.87 0.29 0.10 11 9.90 0.39 0.14 12 9.97 0.27 0.08 13 10.02 0.20 0.07 14 9.99 0.37 0.13 15 9.99 0.20 0.06 16 10.04 0.26 0.09 17 10.07 0.23 0.07 18 10.04 0.35 0.12 19 9.95 0.25 0.09 20 9.98 0.15 0.06 21 9.98 0.30 0.10 22 10.02 0.14 0.06 23 9.94 0.24 0.07 24 10.04 0.13 0.04 25 10.04 0.24 0.07 The means are X = 9.9892, R = 0.2628, and = 0.0880 Calculate the 30 control limits for the R chart. Is the variance under control? If not, delete the samples that are out of control and recompute Y and R. a. b. Based on the sample range R, calculate the 30 control limits for the X chart. Based on the 30 limits, is the process mean in control? If not, when is it first detected to be out of control? Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? C. 4.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:Samples of eight bolts are taken periodically, and their diameters (in mm) are measured.
The following table presents the means, ranges, and standard deviations for 25 consecutive
samples.
Sample
х
R
1.
9.99
0.28
0.09
2
10.02
0.43
0.13
10.10
0.16
0.05
9.90
0.26
0.09
9.92
0.22
0.07
10.05
0.40
0.15
9.97
0.08
0.03
9.93
0.48
0.15
10.01
0.25
0.09
10
9.87
0.29
0.10
11
9.90
0.39
0.14
12
9.97
0.27
0.08
13
10.02
0.20
0.07
14
9.99
0.37
0.13
15
9.99
0.20
0.06
16
10.04
0.26
0.09
17
10.07
0.23
0.07
18
10.04
0.35
0.12
19
9.95
0.25
0.09
20
9.98
0.15
0.06
21
9.98
0.30
0.10
22
10.02
0.14
0.06
23
9.94
0.24
0.07
24
10.04
0.13
0.04
25
10.04
0.24
0.07
The means are X
= 9.9892, R = 0.2628, and = 0.0880
Calculate the 30 control limits for the R chart. Is the variance under control? If not,
delete the samples that are out of control and recompute Y and R.
a.
b.
Based on the sample range R, calculate the 30 control limits for the X chart. Based on
the 30 limits, is the process mean in control? If not, when is it first detected to be out of
control?
Based on the Western Electric rules, is the process mean in control? If not, when is it
first detected to be out of control?
C.
4.
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