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SAMPLING DISTRIBUTION
A sampling distribution is a probability distribution
that determines probabilities of the possible values
of a sample statistic (sample mean, sample median,
sample proportion, and so forth).
NORMAL SAMPLING DISTRIBUTION OF
SAMPLE MEAN
Central Limited Theorem:
For random sampling, as the sample size n grows
(n≥30), the sampling distribution of sample mean
approaches a normal distribution.
The mean of the sampling distribution of
and the standard error is
σ .
σY =
n
is µ,
Mean
Population
Distribution
Sampling
Distribution
Sample
Standard
Deviation
µ
Any shape.
When specified as
normal, Z table
can be used.
σ
Standard
Error
µ
Graph
Normal
σ
σY =
n
s
Any shape.
Resembles pop.
dis. When sample
is representative.