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Intermediate Proof

Difference Between Two Means: Comparing Groups

Confusing the difference between sample means Xˉ1Xˉ2 \bar{X}_1 - \bar{X}_2 with the difference between population means μ1μ2 \mu_1 - \mu_2 , and misapplying the t-distribution versus the z-distribution when population variances are unknown.
Institutional Reference: Statistical Inference I
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