Inferential Statisticshard
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In a clinical trial comparing two treatments, a researcher calculates the difference in means Δ=μ1μ2\Delta = \mu_1 - \mu_2. Suppose the researcher finds Δ\Delta is 12, with a variance of 4. If the researcher wants to determine if the effect is significantly greater than zero using a Wald-type test at α=0.05\alpha = 0.05, which property of the sampling distribution allows the use of the standard normal critical value z0.95=1.645z_{0.95} = 1.645?