A. Let X1,X2,...,X25 be a random sample of size 25 drawn from a normal distribution with
unknown mean µ and variance
2 = 100. It is desired to test the null hypothesis µ = 4 against
the alternative µ = 6. What is the power at µ = 6 of the test with rejection rule: reject µ = 4
if ∑ ≥ 25
=1
?
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