For the above example (Example 8.24), find , the probability of type II error, as a function of . Example 8.24 Let X 1 ,

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,...,X_n 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.