monfils 418_hypothesis testing2-2014

cont parentpopulaon cont samplingdistribuonn3 cont

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if
µ
=
5.65
 and
σ
=
4.5?
 –  This
is
the
sampling
distribu$on
of
the
mean.
 •  Given
a
popula$on
with
mean
=
µ
and
 standard
devia$on
=
σ,
the
sampling
 distribu$on
of
the
mean
(the
distribu$on
of
 sample
means)
has
a
mean
=
µ,
and
a
 standard
devia$on
=
σ
/√n

 •  The
distribu$on
approaches
normal
as
n,
the
 sample
size,
increases
 Demonstra$on
 •  •  •  •  •  Let
popula$on
be
very
skewed
 Draw
samples
of
3
and
calculate
means
 Draw
samples
of
10
and
calculate
means
 Plot
means
(see
next
3
slides)
 Note
changes
in
standard
devia$ons,
and
 shapes
(What
about
means?)
 Cont. Parent
Popula$on
 Cont. Sampling
Distribu$on
n
=
3
 Cont. Sampling
Distribu$on
n
=
10
 Cont. Demonstra$on‐‐cont.
 •...
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