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________________________________________ Name
Homework 19
Due WEDNESDAY, April 24, 2019
DR. EDWARD W. DEMING
and THE RED BEAD EXPERIMENT
WATCH THE FOLLOWING VIDEO
https://www.youtube.com/watch?v=7pXu0qxtWPg
1.
Describe the RED BEAD EXPERIMENT:
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
Red Beads
3
4
5
6
7
8
9
10
11
12
13
14
15
TOTAL
#
of Trials
TOTAL
Red Beads
4b. What Is the Total # of Red Beads ?
Rrrrrrrrrrr
4c. What Is the Total # of Trials?
Rrrrrrrrrrr
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
Red Beads
Deviation
from Mean
Squared Dev
from Mean
Rrrrrrrrrrr
5b. What Is the Sum of the DEVIATIONS (from the Mean)?
Rrrrrrrrrrr
USE THE ORIGINAL DATA
TO CONFIRM YOUR ANSWER
4e. What Is the Total # of Red Beads ?
Rrrrrrrrrrr
4f. What Is the Total # of Trials?
Rrrrrrrrrrr
4g. What is the MEAN ( µ ) # of Red Beads
(per trial)?
Rrrrrrrrrrr
5c. What is the Sum of the SQUARED Deviations (from the
Mean)?
Rrrrrrrrrrr
5d. What Is the AVERAGE Squared Deviation (from the
Mean)?
Rrrrrrrrrrr
5e. What is the STANDARD DEVIATION ( σ ) (from the
Mean)?
rrrrrrrrrrr
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
Red Bead trials.
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
had 10 Red Beads, but the “1” was
accidentally erased.
Redraw the entire graph with this new data.
Is this point WITHIN or OUTSIDE control limits?
Rrrrrrrrrrr
Is this variation due to COMMON cause, or
SPECIAL cause?
Rrrrrrrrrrr
Should we take ACTION (YES or NO)?
Rrrrrrrrrrr
Suppose the “best” workers noticed in one
section of the container, there were hardly
any red beads, and they focused the “paddle”
in that area on Day #5.
Redraw the entire graph with simulated data
for this scenario.
Are these points WITHIN or OUTSIDE control
limits?
Rrrrrrrrrrr
Is this variation due to COMMON cause, or
SPECIAL cause?
Rrrrrrrrrrr
Should we take ACTION (YES or NO)?
Rrrrrrrrrrr
On Day #5, “Willing Worker” Richard’s second
shift resulted in 20 Red Beads (instead of 11).
Redraw the entire graph, with this new data.
Is this point WITHIN or OUTSIDE control limits?
Rrrrrrrrrrr
Is this variation due to COMMON cause, or
SPECIAL cause?
Rrrrrrrrrrr
Should we take ACTION (YES or NO)?
Rrrrrrrrrrr
4

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