So I've been trying to solve this question: we have $x_i$~$N(\mu,4)$.
an estimator $ T_1 = \frac{2x_1 +x_2}{3}$
we need to find confidence interval with $\alpha $ confidence level that is based on $T_!$ .
given hint:this needs to satisfy $P( \vert \frac{T_1 - \mu}{v} \vert<k)=1-\alpha $ . you need to find v and k. Thank you in advance!