Problem 6 (a) Let X-N(μ1,02) and Y-N(μ2,02) be independent, where μ2> μ₁>0. Show that Y-X- Ν(μ2 -11,262). (b) Let X₁,..., X and Y₁,...,Yn be i.i.d. copies of X and Y. Using the variables Z₁ = Y₁ - X₁, construct a (1-a)-confidence interval [an, bn] for μ₂-μ₁. (c) Take [an, bn] from part (b). Recall that μ₂>₁>0. Show that P{0 € [an, bn]}-0 (n →∞o).
Problem 6 (a) Let X-N(μ1,02) and Y-N(μ2,02) be independent, where μ2> μ₁>0. Show that Y-X- Ν(μ2 -11,262). (b) Let X₁,..., X and Y₁,...,Yn be i.i.d. copies of X and Y. Using the variables Z₁ = Y₁ - X₁, construct a (1-a)-confidence interval [an, bn] for μ₂-μ₁. (c) Take [an, bn] from part (b). Recall that μ₂>₁>0. Show that P{0 € [an, bn]}-0 (n →∞o).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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