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.
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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