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Inferential Statisticshard
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In a clinical trial, the treatment effect is Δ=μT−μC\Delta = \mu_T - \mu_CΔ=μT​−μC​. You observe an estimated difference Δ^=5.2\hat{\Delta} = 5.2Δ^=5.2 with a standard error SE=1.8SE = 1.8SE=1.8. Assuming the sampling distribution is approximately normal, what is the lower bound of the 99% confidence interval for Δ\DeltaΔ?