Refer back to the pooled t procedures described at the end of Section 10.2. The test statistic for testing H₀: μ₁ – μ₂ = Δ₀ is

Show that when μ₁ – μ₂ = Δ₀ (some alternative value for the difference), then T_p has a noncentral t distribution with df = m + n – 2 and noncentrality parameter

Transcribed Image Text:

Tp = = (X - Y) - Ao m + | S² P n (X - Y) - Ao Sp√ ( 1/2 + 1 ) n