[See Solution] Let be a random sample from a population, known. An LRT of versus is a test that rejects if z=(|X̄-theta _0|)/(theta /√n)>c Find an expression,
Question:
Let
be a random sample from a
population,
known. An
LRT
of
versus
is a test that rejects
if
\(z=\frac{|\bar{X}-{{\theta }_{0}}|}{\theta /\sqrt{n}}>c\)
- Find an expression, in terms of standard normal probabilities, for the power function of this test.
-
The experimenter desires a Type I Error probability of .05 and a maximum Type II Error probability of .25 at
. Find values of
n
and
c
that will achieve this.
Deliverable: Word Document 
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