Question

Let X1,X2 , … , Xn(n ≥ 3) be a random sample from a N(μ,σ2) distribution, where μ ∈ $\R$ and σ > 0 are both unknown. Then which one of the following is a simple null hypothesis ?

• A. H0 : μ < 5, σ2 = 3
• B. H0 : μ = 5, σ2 > 3
• C. H0 : μ = 5, σ2 = 3
• D. H0 : μ = 5

Answer 1

Answer: (C)

H0 : μ = 5, σ2 = 3

Answer 2

The correct option is (C) : H0 : μ = 5, σ2 = 3.