Question: If X1, . . . , Xn is a sample from a normal population whose mean is unknown but whose variance 2 is known,

If X1, . . . , Xn is a sample from a normal population whose mean μ is unknown but whose variance σ2 is known, show that (−∞, X + zασ/

√

n) is a 100(1 − α)

percent lower confidence interval for μ.

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