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

Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean μ and unknown variance σ2. Construct a lower confidence limit L(X1, . . . , Xn) for μ such that
Pr[μ > L(X1, . . . , Xn)]= 0.99.

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