Question: 1. Consider the confidence interval for with known standard deviation : 1 / + 2 / where 1 + 2 = . Let = 0.05

1. Consider the confidence interval for with known standard deviation :

1 / + 2 /

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" confidence interval?

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