The student will examine properties of the Central Limit Theorem.
Collect the data
Using the random number generator in minitab, simulate the tossing of a single die 60 times. Calc ->Random Data ->Integer
Using Stat ->Tables ->Tally, summarize the data
Construct a histogram using Minitab and then sketch the graph using a ruler and pencil. Scale
the axes.
Caluclate the following:
A
$\overline{x}$ =
B
$s$ =
C
$n=1$ (single die)
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 value of a single die, record the average of two dice. Use Minitab and generate 50 rows with two columns. Then use the Calc ->Row Statistics and select mean.
Then use Stats ->Tables ->Tally to summarize the data.
Construct a histogram. Scale the axes using the same scaling you did for the section titled "Collecting the Data". Sketch the
graph using a ruler and a pencil.
Calculate the following:
A
$\overline{x}$ =
B
$s$ =
C
$n=2$ (surveying one person at a time)
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 part I) with one exception. Instead of recording the value for a single die, record the average value for each of the 50 groups of 5 die tosses.
Generate fifty
groups of 5 die tosses. Record the values of the average of their
value.
Construct a histogram. Scale the axes using the same scaling you did for section titled "Collect the Data". Sketch the
graph using a ruler and a pencil.
Calculate the following:
A
$\overline{x}$ =
B
$s$ =
C
$n=5$ (surveying five people at a time)
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 20
Repeat steps 1 – 5 (of part I) recording the average value for each of the 50 groups of 20 die tosses.
Generate fifty
groups of 20 die tosses. Record the values of the average of their
value.
Construct a histogram. Scale the axes using the same scaling you did for section titled "Collect the Data". Sketch the
graph using a ruler and a pencil.
Calculate the following
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 data?
$X$ ~
In the section titled "Collecting Averages of Groups of Twenty", what was the approximate distribution of the data?
$X$ ~
In 1 – 2 complete sentences, explain any differences in your answers to previous three 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?