The student will demonstrate and compare properties of the Central Limit Theorem.
This lab works best when sampling from several classes and combining data.
Collect the data
Count the change in your pocket. (Do not include bills.)
Randomly survey 30 classmates. Record the values of the change.
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Construct a histogram. Make 5 - 6 intervals. Sketch the graph using a ruler and pencil. Scale
the axes.
Calculate the following (
$n=1$ ; surveying one person at a time):
$\overline{x}$ =
$s$ =
Draw a smooth curve through the tops of the bars of the histogram. Use 1 – 2 complete
sentences to describe the general shape of the curve.
Collecting averages of pairs
Repeat steps 1 - 5 (of the section above titled "Collect the Data") with one exception. Instead of recording the change of 30
classmates, record the average change of 30 pairs.
Randomly survey 30
pairs of classmates. Record the values of the average of their change.
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Construct a histogram. Scale the axes using the same scaling you did for the section titled "Collecting the Data". Sketch thegraph using a ruler and a pencil.
Calculate the following (
$n=2$ ; surveying two people at a time):
$\overline{x}$ =
$s$ =
Draw a smooth curve through tops of the bars of the histogram. Use 1 – 2 complete sentences
to describe the general shape of the curve.
Collecting averages of groups of five
Repeat steps 1 – 5 (of the section titled "Collect the Data") with one exception. Instead of recording the change of 30
classmates, record the average change of 30 groups of 5.
Randomly survey 30
groups of 5 classmates. Record the values of the average of their
change.
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Construct a histogram. Scale the axes using the same scaling you did for the section titled "Collect the Data". Sketch the
graph using a ruler and a pencil.
Calculate the following (
$n=5$ ; surveying five people at a time):
$\overline{x}$ =
$s$ =
Draw a smooth curve through tops of the bars of the histogram. Use 1 – 2 complete sentences
to describe the general shape of the curve.
Discussion questions
As
$n$ changed, why did the shape of the distribution of the data change? Use 1 – 2 complete sentences to explain what happened.
In the section titled "Collect the Data", what was the approximate distribution of the data?
$X$ ~
In the section titled "Collecting Averages of Groups of Five", what was the approximate distribution of the averages?
$\overline{X}$ ~
In 1 – 2 complete sentences, explain any differences in your answers to the previous two questions.
Questions & Answers
anyone know any internet site where one can find nanotechnology papers?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?