Chapter 11 Hypothesis Testing by ubb16013

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									                 Chapter 11 Hypothesis Testing

Motivating example:


Objective:
we want to know if a large can of Hilltop coffee contains at least 3
pounds of coffee.


 : the mean weight of coffee cans for the population..

We want to know if      3 or   3 .

The general setting for the above problems is the following:

 : the population mean ;  0 : the specific numerical value

The objective is to know if     0      or     0

                         if     0     or      0

                         if     0     or      0


Definition of null hypothesis and alternative hypothesis:
The statistical description for a testing problem is
                      H 0 :   0        vs   H a :   0

                      H 0 :   0       vs    H a :   0

                      H 0 :   0        vs   H a :   0 ,

where H 0 is referred to as the null hypothesis while H a is
referred to as the alternative hypothesis.

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Example (continue):


The statistical description is

                           H0 :   3   vs   Ha :   3.




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