Inferential Statisticshard
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In a clinical trial, a researcher compares the mean blood pressure reduction μT\mu_T of a treatment group and μC\mu_C of a control group. The estimated difference is Δ^=12.5\hat{\Delta} = 12.5 with a standard error SE=3.2SE = 3.2. Under the null hypothesis H0:Δ=0H_0: \Delta = 0, the researcher assumes a normal distribution for the sampling error. What is the approximate lower bound of the 95% confidence interval for the treatment effect?