Let X1, X2, ..., Xn be a random sample from the normal distribution with unknown mean, µ and known variance, o². Using a sufficient statistic for u, find the UMP test in the class of unbiased tests...

Let?₁, ?₂,… , ?_?
be a random sample from the normal distribution with

unknownmean,? and known variance, ?₂. Using a sufficient statistic for

?, find the UMP test in the class of unbiased tests for testing,?0: ?= ?₀
against ?₁: ? ≠ ?₀
at significance level ?.

Extracted text: Let X1, X2, ..., Xn be a random sample from the normal distribution with unknown mean, µ and known variance, o². Using a sufficient statistic for u, find the UMP test in the class of unbiased tests for testing Ho: µ = µo against H1:µ # µo at significance level a.