Statistical Inference — comparing two tests for a normal mean shift

Let $x_1, x_2, x_3, …, x_{16}$ be a random sample from $N(\mu, 1)$ distribution, $\mu \in R$. Consider two tests $\varphi_1(x)$ and $\varphi_2(x)$ to test $H_0 : \mu = 3$ versus $H_1 : \mu = 4$: $\varphi_1(x) = 1$ if $x_1 \ge 5$, else $0$, and $\varphi_2(x) = 1$ if $\bar{x} \ge 3.5$, else $0$. If $\alpha_i$ and $\beta_i$; $i = 1, 2$ are size and type II error of the two tests respectively, then which one of the following is correct?