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In this lab exercise, students will compare and contrast empirical data using Minitab with the Uniform Distribution. Note: This module is based on a student being able to access the Minitab statistical program.This modu

Continuous Distribution Lab


I - student learning outcomes:

• The student will compare and contrast empirical data from a random number generator with the Uniform Distribution.

Ii - theoretical distribution

The theoretical distribution of X is X~U (0, 1). Use it for this part. In theory,

μ = _________ σ = _________ 1 st quartile = _________

40th percentile = _________ 3rd quartile = _________Median = _________

Iii collect the data

Use Minitab to generate 100 values between 0 and 1 (inclusive). (Calc Random Data Uniform) Using Minitab, calculate the following (include the session window):

x ¯ size 12{ {overline {x}} } {} = _________ s = _________ 1 st quartile = _________

40th percentile = _________ (justify) 3rd quartile = _________ median = _________

Iv - comparing the data

1. For each part below, use a complete sentence to comment on how the value obtained from the experimental data (see part III) compares to the theoretical value you expected from the distribution in section II. ( How it is reflected in the corresponding data. Be specific! )

a. minimum value:

b. first quartile:

c. median:

d. third quartile

e. maximum value:

f. width of IQR:

V - Plotting the Data and Interpreting the Graphs.

1. What does the probability graph for the theoretical distribution look like? Draw it here and label the axis.

2. Use Minitab to construct a histogram a using 5 bars and density as the y-axis value. Be sure to attach the graphs to this lab.

a. Describe the shape of the histogram. Use 2 - 3 complete sentences. (Keep it simple. Does the graph go straight across, does it have a V shape, does it have a hump in the middle or at either end, etc.? One way to help you determine the shape is to roughly draw a smooth curve through the top of the bars.)

b. How does this histogram compare to the graph of the theoretical uniform distribution? Draw the horizontal line which represents the theoretical distribution on the histogram for ease of comparison. Be sure to use 2 – 3 complete sentences.

3. Draw the box plot for the theoretical distribution and label the axis.

4. Construct a box plot of the experimental data using Minitab and attach the graph.

a. Do you notice any potential outliers? _________

If so, which values are they? _________

b. Numerically justify your answer using the appropriate formulas.

c. How does this plot compare to the box plot of the theoretical uniform distribution? Be sure to use 2 – 3 complete sentences.

Vi - increasing the sample size. repeat the simulation with 500 data values.

1. Using Minitab, calculate the following (include the session window):

x ¯ size 12{ {overline {x}} } {} = _________ s = _________ 1 st quartile = _________

40th percentile = _________ (justify) 3rd quartile = _________ median = _________

2. Does this data appear to reflect the theoretical data more closely than the original? Be sure to use 2 – 3 complete sentences. ( Be specific. )

3. Create a histogram with 5 bars and using density for the y-axis and box plot for this data. (attach to this lab)

4. How do these compare to the theoretical distribution? Be sure to use 2 – 3 complete sentences. ( Be specific. )

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
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.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Collaborative statistics (with edits: teegarden). OpenStax CNX. Jul 20, 2009 Download for free at http://legacy.cnx.org/content/col10561/1.3
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