1. Aaron Fuhrman
Guanyu Liu
Variability on DASANI water
bottles

2. Define:
 Reduce the variability of the DASANI water bottles regarding the weight
 DASANI provides the purified bottle water with 16.9 oz which equals to 480
g.
 The process of manufacturing the bottle water has a fast consecutive
pattern that might exist variations of weight(higher or lower).

3. Measure:
 75 data are collected in 90 sec by simulation regarding to the real
production situation.
478.694
479.523
480.027
481.718
481.275
480.265
479.651
476.778
477.416
478.072
478.968
479.823
480.417
480.279
479.370
478.551
477.991
477.823
479.961
479.464
479.430
481.746
481.974
480.416
481.181
481.105
481.696
478.019
483.253
478.819
480.833
479.411
479.887
480.950
479.013
478.490
480.884
479.148
481.603
481.341
479.988
478.460
478.493
480.291
480.925
480.447
479.288
480.691
478.522
480.293
478.900
480.059
479.727
478.821
480.524
481.377
485.332
479.279
482.782
478.448
479.133
481.656
478.326
479.101
479.645
477.724
480.127
478.227
481.485
479.861
481.518
480.903
480.111
477.332
479.361

4. Analyze
Time Series Plot
70635649423528211471
486
485
484
483
482
481
480
479
478
477
Index
C1
Time Series Plot of C1

5. Analysis
Normal Probability Plot
The Normal Probability Plot seems to
be OOC
With a p value of 0.624

6. Analyze
Individual and Moving Average Chart
71645750433629221581
486
484
482
480
478
Observation
IndividualValue
_
X=480
UCL=483
LCL=477
71645750433629221581
6.0
4.5
3.0
1.5
0.0
Observation
MovingRange
__
MR=1.128
UCL=3.686
LCL=0
1
1
1
1
1
1
1
1
I-MR Chart of C1
Individual chart has two
points OOC
Moving Range Chart
• Several Points OOC
• UCL=3.686
• LCL=0
• MR=1.128

7. Improvement
Autocorrelation
18161412108642
1.0
0.8
0.6
0.4
0.2
0.0
-0.2
-0.4
-0.6
-0.8
-1.0
Lag
Autocorrelation
Autocorrelation Function for C1
(with 5% significance limits for the autocorrelations)
Data is
correlated by
just on lag

8. Improvement
AR(1)
18161412108642
1.0
0.8
0.6
0.4
0.2
0.0
-0.2
-0.4
-0.6
-0.8
-1.0
Lag
Autocorrelation
ACF of Residuals for C1
(with 5% significance limits for the autocorrelations)
Y = 434.072-0.0955X

9. Improvement
71645750433629221581
5.0
2.5
0.0
-2.5
-5.0
Observation
IndividualValue
_
X=0.00
UCL=4.30
LCL=-4.30
71645750433629221581
6.0
4.5
3.0
1.5
0.0
Observation
MovingRange
__
MR=1.616
UCL=5.281
LCL=0
1
1
1
I-MR Chart of RESI1
Moving Range Chart
• Two Points OOC
• UCL=5.281
• LCL=0
• MR=1.616
Individual chart has one
points OOC instead of
two as before

10. Improvement AR(2)
18161412108642
1.0
0.8
0.6
0.4
0.2
0.0
-0.2
-0.4
-0.6
-0.8
-1.0
Lag
Autocorrelation
ACF of Residuals for C1
(with 5% significance limits for the autocorrelations)
Y =318.901-0.2618X

11. Improvement
71645750433629221581
5.0
2.5
0.0
-2.5
-5.0
Observation
IndividualValue
_
X=0.01
UCL=4.03
LCL=-4.02
71645750433629221581
6.0
4.5
3.0
1.5
0.0
Observation
MovingRange
__
MR=1.513
UCL=4.944
LCL=0
1
1
1
I-MR Chart of RESI2
Moving Range Chart
• Two Points OOC
• UCL=4.944
• LCL=0
• MR=1.513
Individual chart has one
points OOC

12. Control
Receive an alert if
the weight exceeds
484
Receive an alert if
the weight is less
than 475
Create a system for
OOC points
Project engineering
verifies if data is
correlated or not
Not
correlated
Correlated
Use
variables or
attributes
X-bar Chart
XmR Chart
CUSUM
EWMA
Use Arima
Method