Suppose that X1, , Xn form a random sample from the normal distribution with unknown mean and unknown variance 2 Classify each of the following hypotheses as either simple or composite a H0 0 and 1 b H0 3 and 1 c H0 2 and 2 5 d H0 0

Question: Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean and unknown variance 2. Classify

Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean μ and unknown variance σ2. Classify each of the following hypotheses as either simple or composite:
a. H0: μ = 0 and σ = 1
b. H0: μ > 3 and σ < 1
c. H0: μ =−2 and σ2 < 5
d. H0: μ = 0

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