(Requires Appendix Material)Your Textbook Considers Various Distributions Such as the Standard

Essay

(Requires Appendix material)Your textbook considers various distributions such as the standard normal, t, χ², and F distribution, and relationships between them.
(a)Using statistical tables, give examples that the following relationship holds: F $n _ { 1 }$ _,∞ = $\frac { \chi _ { n _ { 1 } } ^ { 2 } } { n _ { 1 } }$ (b)t_∞ is distributed standard normal, and the square of the t-distribution with n₂ degrees of freedom equals the value of the F distribution with (1, n₂)degrees of freedom. Why does this relationship between the t and F distribution hold?