Let X₁, X2, ..., Xn be a random sample from a normal population with mean μ and variance o² taken independently from another random sample Y₁, Y2, ..., Ym from a normal population with mean and variance 0². Let Z₁ = X Derive the distribution of T = - Z² (Y;-)) E₁ 0² 772-1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Let X₁, X2, ..., Xn be a random sample from a normal population with mean μ and variance o² taken
independently from another random sample Y₁, Y2, ..., Ym from a normal population with mean Ⓒ
and variance 0². Let Z₁ = Xi- Derive the distribution of T =
z²
o
(Y₁-P)
772-1
Transcribed Image Text:Let X₁, X2, ..., Xn be a random sample from a normal population with mean μ and variance o² taken independently from another random sample Y₁, Y2, ..., Ym from a normal population with mean Ⓒ and variance 0². Let Z₁ = Xi- Derive the distribution of T = z² o (Y₁-P) 772-1
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