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Given a normally distributed population. (a) Compute a 99% CI for μ when n = 100...

Given a normally distributed population.

(a) Compute a 99% CI for μ when n = 100 and x = 55.7, σ = 2.1. (_, _) (Round your answers to two decimal places.)

(b) How large must n be if the width of the 99% interval for μ is to be 1.0? (Round your answer up to the nearest whole number.) n =__

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