Solution Found!
Use the structures of T and F given in Definitions 7.2 and
Chapter 7, Problem 33E(choose chapter or problem)
Use the structures of T and F given in Definitions 7.2 and 7.3, respectively, to argue that if T has a t distribution with ν df, then \(\mathrm{U}=\mathrm{T}^{2}\) has an F distribution with 1 numerator degree of freedom and ν denominator degrees of freedom.
Equation Transcription:
Text Transcription:
U=T^2
Questions & Answers
QUESTION:
Use the structures of T and F given in Definitions 7.2 and 7.3, respectively, to argue that if T has a t distribution with ν df, then \(\mathrm{U}=\mathrm{T}^{2}\) has an F distribution with 1 numerator degree of freedom and ν denominator degrees of freedom.
Equation Transcription:
Text Transcription:
U=T^2
ANSWER:Step 1 of 2
We have to use the structures of T and F given in Definitions 7.2 and 7.3, respectively, to argue that if T has a t distribution with df, then has an F distribution with 1 numerator degree of freedom and ? denominator degrees of freedom: