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Statistics 100
Assignment 2
Note: Most of the questions below need no more than a sentence or two for an answer.
1.
This question looks long.
Do not worry, but do follow directions carefully.
Point your browser to the website:
http://onlinestatbook.com/stat_sim/sampling_dist/index.html .
Your browser should now be displaying a website that launches a simulation for
Sampling Distributions
.
Do not worry about the details of the simulator.
Click the
Begin
button in the top left corner of the window (under
Sampling
Distribution
).
The window that I showed in class should now open.
This question will
use this window to illustrate some sampling properties.
Upon initially displaying the window, there will be 4 plots.
The first one is labelled
Parent Population
, followed by the
Sampled Data
and two
Distribution
plots.
The xaxis on the plots show the possible measurement values one can observe.
Initially,
this is between 0 and 32.
The yaxis shows the proportion of times particular values
appear in the population.
a.
Click the
Animated
button.
You should observe a sample of size
n
=5 being
drawn from the population.
The 3
rd
plot should display the mean of your 5
observations.
What is the observed mean?
This will change for each student, but should be in the ballpark of 16 (say 1517)
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View Full Document b.
Now click the
Clear lower 3
button.
Next, on the
bottom
plot, select
Mean
from the 1
st
drop downlist and N=25 from
the 2
nd
drop downlist.
Press the
10,000
button.
The third plot now displays 10,000 averages from the 10,000 samples of size 5.
The final plot shows the 10,000 averages from 10,000 samples of size 25.
(i) What is the mean of the 10,000 averages from 10,000 samples of size 5?
(ii)
What is the mean 10,000 averages from 10,000 samples of size 25?
(iii) Are they
very different from the true population mean of 16?
(The means are found to the
left of the plot).
I did this and got the following output… students were not required to provide it,
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This note was uploaded on 03/10/2011 for the course STAT 100 taught by Professor D during the Spring '11 term at Simon Fraser.
 Spring '11
 D
 Statistics

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