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Lecture 14:
CHAPTER 6: HYPOTHESIS TESTING
Example:
Consider the population of weights (in kg) of all newborn
babies in Canada for a particular year. In this case, the
Population
Mean
is the average weight of all newborns in the population.
An
investigator may want to use a simple random sample of these
weights to determine if there is sufficient evidence to answer
questions like:
Is
> 3.2 kg?
or Is
< 3.2 kg?
or Is
3.2 kg?
Example:
Consider the population of all lakes in Nova Scotia.
A
biologist may be interested in the following
population proportion
:
= the proportion of all lakes in Nova Scotia that are seriously
affected by acid rain.
He/she may want to use a simple random
sample of lakes from this population to determine if there is sufficient
evidence to answer questions like:
Is
>.7?
or, Is
<.7?
or, Is
.7?
When drawing conclusions about a population using information from
a sample it is important to realize that one can NEVER be absolutely
certain the conclusion is correct.
This is because a sample, though it
may be “representative” of the population, only contains part of all the
information contained in the population.

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