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\begin{aligned} p o w e r & = Q_{N - 1} ((- t_{1 - α} (N - 1)), \frac{μ_{d i f f} - θ_{U}}{σ_{d i f f} N^{- \frac{1}{2}}}; 0, \frac{(N - 1)^{\frac{1}{2}} (θ_{U} - θ_{L})}{2 σ_{d i f f} N^{- \frac{1}{2}} (t_{1 - α} (N - 1))}) - \\ Q_{N - 1} ((t_{1 - α} (N - 1)), \frac{μ_{d i f f} - θ_{L}}{σ_{d i f f} N^{- \frac{1}{2}}}; 0, \frac{(N - 1)^{\frac{1}{2}} (θ_{U} - θ_{L})}{2 σ_{d i f f} N^{- \frac{1}{2}} (t_{1 - α} (N - 1))}) \end{aligned}

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\begin{align*} \mr{power} & = Q_{N-1}\left((-t_{1-\alpha }(N-1)),\frac{\mu _\mr {diff}-\theta _ U}{\sigma _\mr {diff} N^{-\frac{1}{2}}};0,\frac{(N-1)^\frac {1}{2}(\theta _ U-\theta _ L)}{2\sigma _\mr {diff} N^{-\frac{1}{2}}(t_{1-\alpha }(N-1))}\right) - \\ & \quad Q_{N-1}\left((t_{1-\alpha }(N-1)),\frac{\mu _\mr {diff}-\theta _ L}{\sigma _\mr {diff} N^{-\frac{1}{2}}};0,\frac{(N-1)^\frac {1}{2}(\theta _ U-\theta _ L)}{2\sigma _\mr {diff} N^{-\frac{1}{2}}(t_{1-\alpha }(N-1))}\right) \end{align*}