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A clinical trial compares a new treatment vs. control using a two-group design. The effect size (Cohen's d) is 0.6 (medium-to-large), and the researchers want power = 0.85 at α = 0.05 (two-sided). Approximately how many participants per group are needed?

(Use the approximation: n2(zα+zβ)2d2n \approx \frac{2(z_\alpha + z_\beta)^2}{d^2} where z0.05=1.96z_{0.05} = 1.96 and z0.15=1.04z_{0.15} = 1.04)