On 3 Jan 2004 21:55:22 GMT, [EMAIL PROTECTED] (Radford Neal)
wrote:

> In article <[EMAIL PROTECTED]>,
> m v <[EMAIL PROTECTED]> wrote:
> 
> >Her project was to find if short term memory was better for young
> >adults than for younger or older age groups.  She devised a memory
> >test and tested 10 people in each of five different age groups.
> >
> >What would be an appropriate statistical test for this hypothesis and
> >data (considering it is for a middle school project)?
> 
> Her hypothesis is apparently that the memory is best at some
> intermediate age, and worse for both smaller and larger ages.  It's
[ snip, reasonable stuff about how to test it.]

But, please, let us go back and write that as a 
sensible hypothesis.  

Keep in mind that this is a survey, using a "convenience 
sample":  Even after a survey that is large and representative,
you are in a shaky position for "testing the hypothesis,"  if
you write the hypothesis as a grandiose fact about nature.
I don't think that your daughter is attempting a random sample
from all human beings;  and she doesn't have the life-experience
to say much about other cultures at all (I would bet); 
so, don't write the problem that way.

As an example.
Here is a more reasonable, limited hypothesis:  "In this
school/ shopping mall/ county, the several racial-ethnic groups 
will not differ in IQ, when measured by  < ... > ."

In this style, you can draw a conclusion about a small hypothesis --
without offending all the world about how wrong you are apt
to be, because you have not taken *all*  the possible objections
into account.

For your example:  You test the age groups, with the hope that
in your social-class/ nation/ region,  this relation might be true.

Assume you show that there is an apparent curve of that shape;
you have achieved a little bit.  At this point, you start your 
argument about whether the finding is apt to generalize, or 
to whom it is apt to generalize.

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html
"Taxes are the price we pay for civilization." 
.
.
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