申論題

10. Let X₁, X₂, X₃, X₄ be independent random variables that have normal distributions N(μᵢ, σ²),
i = 1, 2, 3, 4. μ_i and σ² are the mean and variance of X_i. In order to test, at the α = 0.05 significance
level, the hypothesis H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ against all alternatives on the basis of a random
sample of size nᵢ = 3 from each of the four distributions. Determine whether we accept or reject H₀ if
the observed values from the four distributions are, respectively, as follows: