Q 8.3. Suppose Z₁, Z2 and Z3 are independent standard (univariate) normal random variables. Which of the following have a x²-distribution (and for these identify the degrees of freedom)? (Hint: you should not have to do a lot of calculations.) (a) (Z₁ - 2Z2 + Z3)²/6 + (Z₁ − Z3)²/2 (b) (Z1 + Z2 + Z3) ²/3 (c) (Z₁ + Z₂)²/2 Related to the proof of Fishers Theorem.

Q 8.3. Suppose Z₁, Z2 and Z3 are independent standard (univariate) normal random variables. Which of the following have a x²-distribution (and for these identify the degrees of freedom)? (Hint: you should not have to do a lot of calculations.) (a) (Z₁ - 2Z2 + Z3)²/6 + (Z₁ − Z3)²/2 (b) (Z1 + Z2 + Z3) ²/3 (c) (Z₁ + Z₂)²/2 Related to the proof of Fishers Theorem.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 43CR

See similar textbooks