- #1

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- 1

## Summary:

- what distribution follows

$X_1, X_2, ..., X_{15}$ are independently to each other and follow $N (7, 3^2)$

what distribution the following statistics follow

$T = \frac{(\bar{X}− 7)}{\sqrt{s^2/15}}$

i know this follow t distribution $t_(n-1) =t_{14}$

but how do i find what distribution $T^2$ follows, can i just multiply it?

$T = (\frac{(\bar{X}− 7)}{\sqrt{s^2/15}})^2=\frac{Z^2*(n-1)}{\chi_{(n-1)}}$

what distribution the following statistics follow

$T = \frac{(\bar{X}− 7)}{\sqrt{s^2/15}}$

i know this follow t distribution $t_(n-1) =t_{14}$

but how do i find what distribution $T^2$ follows, can i just multiply it?

$T = (\frac{(\bar{X}− 7)}{\sqrt{s^2/15}})^2=\frac{Z^2*(n-1)}{\chi_{(n-1)}}$