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

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(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 n1n _ { 1 } , = χn12n1\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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