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3/20/11
Central Limit Theorem
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Question
•
Suppose we wanted to know the
average height of all women
attending UST – how could we go
about doing this?
3/20/11
Question
•
Suppose we wanted to know the
average height of all women
attending colleges/universities in
Texas – how could we go about doing
this?
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•
In order to get an estimate of the
average height, we would take a
random sample and use the sample
mean to estimate the population
mean
•
But why do we use the sample
mean?
3/20/11
Sampling Distributions
•
Sample statistics are random
variables
•
If we take different samples of size n
from a population in a particular
study, the sample statistics for the
different samples (more than likely)
would not be the same
•
Thus, sample statistics can take on
different values with probabilities
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Sampling Distributions
•
Sampling distributions are probability
distributions for sample statistics for
a given sample size
•
What is of importance is the
expected value and
variance/standard deviation of the
sample statistic (sampling
distribution)
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This note was uploaded on 03/19/2011 for the course STAT 101 taught by Professor Hughes during the Spring '11 term at Andrews Univeristy.
 Spring '11
 Hughes
 Statistics, Central Limit Theorem

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