The student will demonstrate and compare properties of the central limit theorem.
Note
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 in
[link] .
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Construct a histogram. Make five to six 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 one to two complete sentences to describe the general shape of the curve.
Collecting averages of pairs
Repeat steps one through five of the section
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 in
[link] .
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Construct a histogram. Scale the axes using the same scaling you used for the section titled
Collect the Data . Sketch the graph 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 one to two complete sentences to describe the general shape of the curve.
Collecting averages of groups of five
Repeat steps one through five (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 five.
Randomly survey 30
groups of five 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 used 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 one to two complete sentences to describe the general shape of the curve.
Discussion questions
Why did the shape of the distribution of the data change, as
n changed? Use one to two 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 one to two complete sentences, explain any differences in your answers to the previous two questions.
Questions & Answers
where we get a research paper on Nano chemistry....?
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
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
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?
Source:
OpenStax, Introduction to statistics i - stat 213 - university of calgary - ver2015revb. OpenStax CNX. Oct 21, 2015 Download for free at http://legacy.cnx.org/content/col11874/1.3
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