For the above example (Example 8.24), find , the probability of type II error, as a function

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For the above example (Example 8.24), find β, the probability of type II error, as a function of μ.


Example 8.24 

Let X1, X2,...,Xn be a random sample from a N(μ,σ2) distribution, where μ is unknown but σ is known. Design a level α test to choose between

H0: μ = μ0,

H1: μ ≠ μ0.

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