Transcript EPSY 435 - Texas A&M University

EPSY 435 – Educational Statistics
When viewing the next slide, click
your mouse when prompted.
EPSY 435
Question – Assignment 10
In the OnLine Testing text area, explain the concept of
the sampling distribution of the mean. Use the pop-up
questions to guide the content and breadth of your
response. Do not copy information out of your text.
EPSY 435 – Educational Statistics
Click Mouse
Sampling Distribution of the Mean
X1
X2
X3
X4
X5
X6
1. Draw random samples of size n from the population.
Mean = m
2. Compute and cumulate means for each sample.
X
How
will the distribution.
sample means be related
3. Using the means, build a
frequency
S.D. to
= the
population mean? If you were to build a
where,
Whatdo
Why
characteristics
you think that(i.e.,
the frequency
center,
sampling
spread,
distribution
and using the sample
distribution
X X
shape)
of
means
willtends
eachto
ofbe
thenormally
random
distributed
samples
tend
and
means,
what do
you think the distribution  X
X X
to have?
why
is this important?
X 
would look like?
20
29
19
28
n
X18 X27
X17 X26
X11 X16 X25 X34
X10 X15 X24 X33
X9 X14 X23 X32
X8 X13 X22 X31
X7 X12 X21 X30
X1
Go to
Question
Summary
Population
End
X2 X3 X 4 X 5
X6
Sampling Distribution of the Means
EPSY 435 – Educational Statistics
Question Summary
Explain the concept of the sampling distribution of the
mean. What is it, where does it come from, and how is it
used? Answers to the following questions may help
guide the content and breadth of your response. Write in
your own words, do not copy information out of your text.
1.
What characteristics (i.e., center, spread, and shape) will each of
the random samples drawn from the population tend to have?
2.
How will the sample means be related to the population mean? If
you were to build a frequency distribution using the sample
means, what do you think the distribution would look like?
3.
Why do you think that the sampling distribution of means tends to
be normally distributed and why is this important?