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Inferential Statisticshard
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In a clinical trial comparing a novel treatment to a placebo, a researcher calculates the difference in mean recovery times Δ=μT−μC\Delta = \mu_T - \mu_CΔ=μT​−μC​. After finding Δ^=7.5\hat{\Delta} = 7.5Δ^=7.5 with an estimated standard error SE=2.0SE = 2.0SE=2.0, the researcher wishes to construct a 95% confidence interval for Δ\DeltaΔ. Given the assumption of approximate normality in the sampling distribution, which of the following expressions provides the correct upper bound for this interval?