Consider a Normal population with mean 𝜇 and variance 𝜎 2 < ∞ . In class we have shown that the standardized log-likelihood of the sample for this case is 1 𝑇 log ( 𝐿 ( 𝑥 , 𝜇 , 𝜎 2 ) ) = − 1 2 log ( 2 𝜋 ) − 1 2 log ( 𝜎 2 ) − 1 𝑇 ∑ 𝑡 = 1 𝑇 ( 𝑥 𝑡 − 𝜇 ) 2 2 𝜎 2 . The following table reports maximum likelihood estimates and test statistics for the significance of the estimates. Estimates Std. error t-stat 𝜇 9.012 5.792 𝜎 2 3.111 2.029 Compute the value of the test statistics for the null hypothesis 𝐻 0 : 𝜇 = 10 . (Please round the results to the 4th decimal place.) 单项选择题

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