MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Sample size (n) is 16, mean of the sample means (x¯¯) is 15, mean of the sample ranges (R¯)is 6, and population standard deviation is not known. Calculate the UCL and LCL of the mean chart for this process, by using 3-sigma (z=3).

n A2 D3 D4
2 1.880 0.000 3.267
3 1.023 0.000 2.575
4 0.729 0.000 2.282
5 0.577 0.000 2.114
6 0.483 0.000 2.004
7 0.419 0.076 1.924
8 0.373 0.136 1.864
9 0.337 0.184 1.816
10 0.308 0.223 1.777
11 0.285 0.256 1.744
12 0.266 0.283 1.717
13 0.249 0.307 1.693
14 0.235 0.328 1.672
15 0.223 0.347 1.653
16 0.212 0.363 1.637
17 0.203 0.378 1.622
18 0.194 0.391 1.609

UCL=13.73, LCL=16.27
Cannot be calculated
UCL=12.5, LCL=11.0
UCL = 10.34, LCL = 13.67
UCL = 16.27, LCL = 13.73
 

 

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