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________________________________________ Name
Homework 19
Due WEDNESDAY, April 24, 2019
DR. EDWARD W. DEMING
WATCH THE FOLLOWING VIDEO
1.
Job
2.
print and complete the following FOUR pages,
and bring them to class WEDNESDAY.
Responsibility
Recreate the Results of the Red Bead Experiment Below:
Worker
Day #1
Day #2
Day #3
Day #4
TOTAL
Day #5
TOTAL
TOTALS
3.
Graph the Results of Days #1 – #4 below: (ONLY Days #1 – #4)!
1
4a. Complete the Summary Table below to find the
MEAN ( µ ) of the data in Trials 1 – 24.
# of
3
4
5
6
7
8
9
10
11
12
13
14
15
TOTAL
#
of Trials
TOTAL
4b. What Is the Total # of Red Beads ?
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4c. What Is the Total # of Trials?
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4d. What is the MEAN ( µ ) # of Red Beads
(per trial)?
5b. Complete the Table below to find the STANDARD DEVIATION
( σ ) of the data in Trials 1 – 24.
Trial
#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
TOTAL
# of
Deviation
from Mean
Squared Dev
from Mean
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5b. What Is the Sum of the DEVIATIONS (from the Mean)?
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USE THE ORIGINAL DATA
4e. What Is the Total # of Red Beads ?
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4f. What Is the Total # of Trials?
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4g. What is the MEAN ( µ ) # of Red Beads
(per trial)?
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5c. What is the Sum of the SQUARED Deviations (from the
Mean)?
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5d. What Is the AVERAGE Squared Deviation (from the
Mean)?
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5e. What is the STANDARD DEVIATION ( σ ) (from the
Mean)?
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2
6.
Calculate the CONTROL LIMITS for the Red Bead System:
For our purposes, we will use the following to determine the upper and lower control limits:
UPPER Control Limit
UCL = µ + 3σ
7.
LOWER Control Limit
LCL = µ – 3σ
Plot the MEAN ( µ ) and both CONTROL LIMITS on the graph (problem #3), and extend these three figures to include all 30
KEY POINT
These Control Limits now define a “Stable System”;
i.e., the behavior WITHIN these limits is CONTROLLED but RANDOM.
8.
Plot the last six Red Bead trials on the graph. These six trials were from the “best” workers. Were these workers “really” the
“best”, or was their behavior “within control limits”, and therefore “random”.
3
Suppose “Willing Worker” (Ron) on Day #5
accidentally erased.
Redraw the entire graph with this new data.
Is this point WITHIN or OUTSIDE control limits?
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Is this variation due to COMMON cause, or
SPECIAL cause?
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Should we take ACTION (YES or NO)?
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Suppose the “best” workers noticed in one
section of the container, there were hardly
in that area on Day #5.
Redraw the entire graph with simulated data
for this scenario.
Are these points WITHIN or OUTSIDE control
limits?
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Is this variation due to COMMON cause, or
SPECIAL cause?
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Should we take ACTION (YES or NO)?
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On Day #5, “Willing Worker” Richard’s second
Redraw the entire graph, with this new data.
Is this point WITHIN or OUTSIDE control limits?
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Is this variation due to COMMON cause, or
SPECIAL cause?
Rrrrrrrrrrr
Should we take ACTION (YES or NO)?
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4

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