Question: 12. If X1, . . . , Xn is a sample from a normal population whose mean is unknown but whose variance 2 is

12. 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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