C. A new sample is taken from the machine's output, and these are the exact wei liquid in each bottle: 349.21 ml, 352.12 ml, 350.14 ml, 350.82 ml, 350.07 ml, 3 ml, 350.50 ml, 349.75 ml, and 349.90ml. According to the charts created in pa and b of this question does this samnle indicate the process is control?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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3. A large beverage company would like to use statistical process control to monitor a new
bottlingmachine designed to load liquid into 350-ml bottles. This company knows that
the exact amountthe machine places in each bottle can naturally vary by a small amount
but does not have any more specific information about the process. The company
operated this new machine under careful supervision, confident that the machine was
under complete control, for 7 hours. Each hour, a sample of nine bottles was taken off
the line and the amount of liquid in each bottle was carefully measured. This is the
resulting data:
Sample
Sample Mean (ml) Sample Range (ml)
350.85
0.6
350.80
0.8
0.5
351.20
351.00
1.0
350.62
0.8
351.12
0.7
0.8
351.50
a. Where should the control limits be placed on a mean chart intended to monitor
thismachine in the future, using the same sampling procedure that produced this
data?
b. Where should the control limits be placed on a range chart intended to monitor
thismachine in the future, using the same sampling procedure that produced this
data?
C. A new sample is taken from the machine's output, and these are the exact weights of
liquid in each bottle: 349.21 ml, 352.12 ml, 350.14 ml, 350.82 ml, 350.07 ml, 350.10
ml, 350.50 ml, 349.75 ml, and 349.90ml. According to the charts created in parts a
and b of this question, does this sample indicate the process is in control?
123 4567
Transcribed Image Text:3. A large beverage company would like to use statistical process control to monitor a new bottlingmachine designed to load liquid into 350-ml bottles. This company knows that the exact amountthe machine places in each bottle can naturally vary by a small amount but does not have any more specific information about the process. The company operated this new machine under careful supervision, confident that the machine was under complete control, for 7 hours. Each hour, a sample of nine bottles was taken off the line and the amount of liquid in each bottle was carefully measured. This is the resulting data: Sample Sample Mean (ml) Sample Range (ml) 350.85 0.6 350.80 0.8 0.5 351.20 351.00 1.0 350.62 0.8 351.12 0.7 0.8 351.50 a. Where should the control limits be placed on a mean chart intended to monitor thismachine in the future, using the same sampling procedure that produced this data? b. Where should the control limits be placed on a range chart intended to monitor thismachine in the future, using the same sampling procedure that produced this data? C. A new sample is taken from the machine's output, and these are the exact weights of liquid in each bottle: 349.21 ml, 352.12 ml, 350.14 ml, 350.82 ml, 350.07 ml, 350.10 ml, 350.50 ml, 349.75 ml, and 349.90ml. According to the charts created in parts a and b of this question, does this sample indicate the process is in control? 123 4567
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