Distribution of the T test statistic under H0 and Ha

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The power.examp function in the TeachingDemos package compares normal
distributions from a null and alternative hypothesis (the
run.power.examp function provides a GUI for the function).  The
normals could be replaced with a T and non-central T distribution (on
my to do list, I actually have contributed code for this, just have
not incorporated it yet).
Dear All:

I need a quick help in R. How I can plot plot the distribution of the T test
statistic under Ho and Ha with shading areas. Plot overlapping two T distributions and shading overlapping areas under both curves. You choose any values just
?for example. I could not upload any graph for example.

Once I know how to create this one, I think I will be able to create the one for normal case.

Thank you very much and sorry for bothering.

Ali

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Gregory (Greg) L. Snow Ph.D.
538280 at gmail.com