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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

Name:

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

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
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
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
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?
Damian Reply
what king of growth are you checking .?
Renato
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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Source:  OpenStax, Labs for collaborative statistics - teegarden. OpenStax CNX. Aug 18, 2008 Download for free at http://cnx.org/content/col10562/1.2
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