Question: Consider the confidence interval for with known standard deviation : where 1 2 . Let 0.05 and find the interval

Consider the confidence interval for  with known standard deviation :

where 1  2  . Let   0.05 and find the interval for

1  2  2  0.025. Now find the interval for the case

1  0.01 and 2  0.04. Which interval is shorter? Is there any advantage to a “symmetric” CI?

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