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Exercises
1.
Suppose you want to test H
0
:
μ
= 26 against H
a
:
μ
≠
26
using α = 0.05.
A random
sample of size 30 will be drawn from the population under consideration.
Assume the
population has a standard deviation equal to 1.4.
(a) Find the value of β associated with the test if the true mean is 25.8.
(b) Find the power of the test.
Outline of solution to (a)
Critical values in terms of
x
are = 25.5 and 26.5
β = P(25.5 <
x
< 26.5  µ = 25.8) = P(1.17 < z <2.73) =0.875
2.
Suppose you want to test H
0
:
μ
= 72 against H
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This note was uploaded on 09/10/2009 for the course STAT 217 taught by Professor Dan during the Winter '07 term at University of Calgary.
 Winter '07
 Dan
 Standard Deviation

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