In this lab exercise, students will compare and contrast empirical data from a random number generator with the Uniform Distribution.
Class Time:
Names:
Student learning outcomes:
The student will compare and contrast empirical data from a random number generator with the Uniform Distribution.
Collect the data
Use a random number generator to generate 50 values between 0 and 1 (inclusive). List them
below. Round the numbers to 4 decimal places or set the calculator MODE to 4 places.
Complete the table:
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Calculate the following:
$\overline{x}=$
$s=$
1st quartile =
3rd quartile =
Median =
Organize the data
Construct a histogram of the empirical data. Make 8 bars.
Construct a histogram of the empirical data. Make 5 bars.
Describe the data
Describe the shape of each graph. 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 a shape, is to roughly draw a smooth curve through the top
of the bars.)
Describe how changing the number of bars might change the shape.
Theoretical distribution
In words,
$X$ =
The theoretical distribution of
$X$ is
$X$ ~
$U(0,1)$ . Use it for this part.
In theory, based upon the distribution
$X$ ~
$U(0,1)$ , complete the following.
$\mu =$
$\sigma =$
1st quartile =
3rd quartile =
median = __________
Are the empirical values (the data) in the section titled "Collect the Data" close to the corresponding theoretical values above? Why or why not?
Plot the data
Construct a box plot of the data. Be sure to use a ruler to scale accurately and draw straight
edges.
Do you notice any potential outliers? If so, which values are they? Either way, numerically
justify your answer. (Recall that any DATA are less than Q1 – 1.5*IQR or more than Q3 +1.5*IQR are potential outliers. IQR means interquartile range.)
Compare the data
For each part below, use a complete sentence to comment on how the value obtained
from the data compares to the theoretical value you expected from the distribution in the section titled "Theoretical Distribution."
minimum value:
1st quartile:
median:
third quartile:
maximum value:
width of IQR:
overall shape:
Based on your comments in the section titled "Collect the Data", how does the box plot fit or not fit what you
would expect of the distribution in the section titled "Theoretical Distribution?"
Discussion question
Suppose that the number of values generated was 500, not 50. How would that affect what you
would expect the empirical data to be and the shape of its graph to look like?
Questions & Answers
Do somebody tell me a best nano engineering book for beginners?
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.
In this morden time nanotechnology used in many field .
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Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change .
maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.