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. Page 793 Sample 9.99 0.28 0.09 10.02 0.43 0.13 3 10.10 0.16 0.05 9.90 0.26 0.09 9.92 0.22 0.07 6. 10.05 0.40 0.15 9.97 0.08 0.03 9.93 0.48 0.15 9. 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 a. Calculate the 3ơ control limits for the R chart. Is the variance under control? If not, delete the samples that are out of control and recompute X and R. 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? c. Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? Repeat Exercise 8, using the S chart in place of the R chart.
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. Page 793 Sample 9.99 0.28 0.09 10.02 0.43 0.13 3 10.10 0.16 0.05 9.90 0.26 0.09 9.92 0.22 0.07 6. 10.05 0.40 0.15 9.97 0.08 0.03 9.93 0.48 0.15 9. 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 a. Calculate the 3ơ control limits for the R chart. Is the variance under control? If not, delete the samples that are out of control and recompute X and R. 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? c. Based on the Western Electric rules, is the process mean in control? If not, when is it first detected to be out of control? Repeat Exercise 8, using the S chart in place of the R chart.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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.
Page 793
Sample
9.99
0.28
0.09
10.02
0.43
0.13
3
10.10
0.16
0.05
9.90
0.26
0.09
9.92
0.22
0.07
6.
10.05
0.40
0.15
9.97
0.08
0.03
9.93
0.48
0.15
9.
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
a. Calculate the 3ơ control limits for the R chart. Is the variance under control? If not,
delete the samples that are out of control and recompute X and R.
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?
c. Based on the Western Electric rules, is the process mean in control? If not, when is it
first detected to be out of control?
Transcribed Image Text:Repeat Exercise 8, using the S chart in place of the R chart.
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