Q. 32 If G, is the geometric mean of n, observations and G₂ is the geometric mean of n₂ X₁X₂X₁ observations ₁.2. Yng and let G be the geometric mean of all (n₂ +n₂) observations, prove that, 1 log G: -{n, log G₁ + n₂ log G₂}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 27E
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Q. 32 If G, is the geometric mean of n, observations
X₁X₂X₁ and G₂ is the geometric mean of
observations ₁.2. Yng and let G be the geometric
mean of all (n₁ +n₂) observations, prove that,
1
log G== -- {n, logG₁ +n₂ logG₂}
11₁ + 121₂
Transcribed Image Text:Q. 32 If G, is the geometric mean of n, observations X₁X₂X₁ and G₂ is the geometric mean of observations ₁.2. Yng and let G be the geometric mean of all (n₁ +n₂) observations, prove that, 1 log G== -- {n, logG₁ +n₂ logG₂} 11₁ + 121₂
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