assignment19c.pdf

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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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