Question: Consider the confidence interval for with known standard deviation : where a, a, a. Let a 0.05 and find the interval for aaa/2=0.025. Now find

Consider the confidence interval for with known standard deviation : where

a, a,

a. Let a 0.05 and find the interval for aaa/2=0.025. Now find the interval for the case a=0.01 and 0.04.

Which interval is shorter? Is there any advantage to a "symmetric" confidence interval?

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