Let α₁ > 0, α₂ > 0, with α₁ + α₂ = α. Thenx-μP(-²,₂ < X-H <2₁₂) - 1-Р= α.ol√n(a) Use this equation to derive a more general expression for a 100(1-x)% CI for μ of which the interval below is aspecial case.(x-24/2 √n' X +0(x-²a₂02za/2. _, X + ²a ₂ - -/-/-)n√)O(x-28₂√₁X+2₂ VD-1)0(X-2₁₂X+²₁₁)Zα₁n-10(X-28₂X+2₁₂)Zaq0(x-Za₂₁ X + Zα₂ F)n-1(b) Let a = 0.05 and α₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval in part (a)?The interval is narrower.O The interval is wider.O The interval does not change.

Given,Let 0,\alpha_{2}>0 \)" data-mce-style="cursor: default;">α1>0,α2>0 with α1+α2=α…

(a) Use this equation to derive a more general expression for a 100(1-a) % CI for μ of which the interval below is a special case. (x-² 1/2 √n' x + ²a/2 x+ 0(X-Z₁₂X+²₁₂) az n √) o O(x-²4₂ √n-1' •₁ X + ² α₁ ² √² VF) 0(X-2₁₂X+²₁₂) n-1 0(X-Z₂X+²₁₂) 0(X-2₂₁X+²₁₂) √) (b) Let a = 0.05 and a₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval in part (a)? O The interval is narrower. O The interval is wider. O The interval does not change.

(a) Use this equation to derive a more general expression for a 100(1-a) % CI for μ of which the interval below is a special case. (x-² 1/2 √n' x + ²a/2 x+ 0(X-Z₁₂X+²₁₂) az n √) o O(x-²4₂ √n-1' •₁ X + ² α₁ ² √² VF) 0(X-2₁₂X+²₁₂) n-1 0(X-Z₂X+²₁₂) 0(X-2₂₁X+²₁₂) √) (b) Let a = 0.05 and a₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval in part (a)? O The interval is narrower. O The interval is wider. O The interval does not change.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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