(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?

Question

(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?

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The Answer of (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?

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