Ononot — Given Xi \sim N(\mu, \sigma^2) for i=1...n, we test H0: \mu

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Inferential Statisticshard

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Given $X_i \sim N(\mu, \sigma^2)$ for $i=1...n$ , we test $H_0: \mu = 0$ using the Likelihood Ratio Test. For a large sample, what is the value of the LRT statistic $\lambda = -2 \ln(L(\hat{\theta}_0)/L(\hat{\theta}))$ if the $t$ -statistic is $t=2$ ?