= Solution
The <deviance> entries are $-2\ell$ for these fitted models. The completed values are
$$
\boxed{D_0=318.00,\quad D_1=305.96,\quad T=D_0-D_1=12.04,\quad\mathrm{df}=1}.
$$
The <likelihood-ratio test> compares a model with one age coefficient against its restriction $\beta_1=0$. Its small <p-value>, approximately $0.000529$, supports a positive age association under the assumed <Gaussian linear mixed model>. Refitting with <maximum likelihood estimation> is essential here: <restricted maximum likelihood> values from models with different fixed-effect design matrices cannot be compared by this <likelihood-ratio test>.
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