Distribution of a sample random variable

  • I
  • Thread starter fiksx
  • Start date
  • #1
77
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?





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

Answers and Replies

  • #2
BvU
Science Advisor
Homework Helper
2019 Award
13,703
3,341
Read your post before posting: use double $ for ##\LaTeX## displayed math, not single $
 

Related Threads on Distribution of a sample random variable

Replies
2
Views
2K
Replies
6
Views
2K
Replies
6
Views
13K
Replies
1
Views
2K
Replies
15
Views
4K
Replies
5
Views
6K
Replies
12
Views
6K
Top