Anthony King M3.3 SPC Tools
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Embry-Riddle Aeronautical University *
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515
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English
Date
Dec 6, 2023
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docx
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5
Uploaded by kingalusmc
1
Statistical Process Control Tools
Anthony King
College of Aeronautics, Embry-Riddle Aeronautical University
SYSE 515: Math Applications in Systems Engineering
Frederica Robinson-Bryant Instructor
November 3, 2023
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Statistical Process Control Tools
Upon review of the 25 samples, the X-Bar chart reveals that there are 4 points outside of
the upper control limit (UCL) and 2 points outside of the lower control limit (LCL). The R chart
reveals 2 points outside of the LCL, but none outside of the UCL. Both charts clearly state that
the process is out of control. There are primarily common cause variations in both charts and
several special cause variations. A visual representation can be observed in Figure 1 below:
Figure 1
Control Chart Example
Note
. Creative Safety Supply, 2023, (
https://www.creativesafetysupply.com/glossary/control-
charts/
)
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It appears tests 21 and 22 in the R chart fall into rule 2 of interpretation because they are
consecutively in zone A and all the points outside of the limits for both charts fall under rule 1
(McNeese, 2016). If you refer to figures 2 and 3 below, this issue can be better understood.
Figure 2
Control Chart Rules
Note.
McNeese, B., 2016, (
https://www.spcforexcel.com/knowledge/control-chart-basics/control-
chart-rules-interpretation/
)
Figure 3
Control Chart Rules Table
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Note.
McNeese, B., 2016, (
https://www.spcforexcel.com/knowledge/control-chart-basics/control-
chart-rules-interpretation/
)
McNeese states that the possible cause for rules 1 and 2 could be a new person not
properly trained on the equipment, having the wrong setup, having a measurement error,
accidental or purposeful skipping of a process step, not completing a process step, having a
power failure, or equipment breakdown (McNeese, 2016). These are the reasons why this data
set shows to be out-of-limits.
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References
Creative Safety Supply. (2023).
Control Charts.
https://www.creativesafetysupply.com/glossary/control-charts/
McNeese, B. (2016).
Control Chart Rules and Interpretation.
SPC for Excel.
https://www.spcforexcel.com/knowledge/control-chart-basics/control-chart-rules-
interpretation/