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Chapter 11: Confidence Intervals – Large Samples
(read as mu). A sample of size
will be obtained and the sample mean will
be recorded. We will let the population standard deviation be denoted by
and the sample standard deviation be denoted by
Figure 11-9
: Display of the experimental situation in
selecting the sample to estimate the
population mean
The point estimate for the population mean
can be computed by adding all
the sample values and dividing by the number of values in the sample. We
will let this estimate be denoted by
̅
. That is,
From
Chapter 10
,
we can summarize the properties of the
Central Limit
Theorem for Sample Means
with the following statements:
Sampling is from any distribution with mean
and standard deviation
.