Page 399 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—29% fcUnq izkDdyu ,oa varjky izkDdyu fof/

uksV

fo'okL;rk vUrjky ds lkFk lEc¼ izkf;drk dks fo'okL;rk Lrj (confidence
level) dgrs gSaA

(i) lexz ekè; ds fy, 5% lkFkZdrk Lrj ij fo'okL;rk vUrjky
⎡ σ σ ⎤
Prob. x – 1.64 <μ < x + 1.64 ⎥ = 1 – 0.05 = 0.95
⎢
⎣ n n ⎦
;gk¡
x = izfrn'kZ ekè;

μ = lexz ekè;
σ = lexz izeki fopyu
n = izfrn'kZ vkdkj

σ
n = izfrn'kZ ekè; dh izeki foHkze

α = .05 lkFkZdrk Lrj ;k fo'okL;rk Lrj
1 – α = 0.95 fo'okL;rk xq.kkad

(ii) lexz vuqikr P dk fo'okL;rk vUrjky
⎡ PQ PQ ⎤
Prob. p ≤ ≤ P + p 1.96 = ⎥ – 1.96 1 – = .05 0.95
⎢
⎢ n n ⎥ ⎣ ⎦

;gk¡
Q = 1 – P

fo'okL;rk vUrjky fdls dgrs gSa\

2
(iii) lexz izlj.k σσ σσ σ dk fo'okL;rk vUrjky
⎡ S 2 S 2 ⎤
2
Prob. ⎢ 2 – 1.96 ≤σ ≤ S 2 + 1.96 ⎥S = 1 – .05 = 0.95
⎢ ⎣ 2n 2n ⎥ ⎦

LOVELY PROFESSIONAL UNIVERSITY 393