Summary
Summary Stats 188 chapter 7 notes
- Institution
- Stellenbosch University (SUN)
Summary of chapter 7, covered in the second semester.
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CHAPTER 7 SAMPLING DISTRIBUTIONSSAMPLING DISTRIBUTIONS OF THE MEAN
The possible
>
sampling distribution of the mean is the
sampling distribution of all sample means calculated
from all possible samples of a
given size .
02
If ~
( v4.02 ) then ~ ill
,
n and 2 = 5C -
m
O
n
* since the population mean (µ ) and the mean of the
sampling distribution Of the mean are both equal ,
the sample mean (E) Is said to be an unbiased estimate of the population mean cut .
As the sample size ( ) increases the standard error ( Osi O ) of the distribution of
n
sampling
= n
,
the mean decreases
standard error of mean : Ox = o
n
> SAMPLING FROM NORMALLY DISTRIBUTED POPULATIONS :
◦
If sampling is done from a population that IS
normally distributed with mean i t and standard deviation
0
,
then regardless of the sample size
,
n
,
the sampling distribution of the mean is normally
°
distributed ,
with mean Mx = it and standard error of the mean OI = n
o
finding Z for the
sampling distribution
of the mean :
2- =
MI
Oi
=
µ
o
.
n
◦
Finding for the
sampling distribution of the mean
0
=
µ t Z n
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