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In: Statistics and Probability

Let X be the mean of a random sample of size n from a N(μ,9) distribution....

Let X be the mean of a random sample of size n from a N(μ,9) distribution.

a. Find n so that X −1< μ < X +1 is a confidence interval estimate of μ with a confidence level of at least 90%.

b.Find n so that X−e < μ < X+e is a confidence interval estimate of μ withaconfidence levelofatleast (1−α)⋅100%.

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