Assignment 14

Problem 5.30
Problem 5.31

Due Friday, December 3, 2004.

Let $X_{n}$ have a $\chi^{2}_{n}$ distribution.

(a)

Find an approximating normal distribution for $X_{n}$.

(b)

Find an approximating normal distribution for $Y_{n} = \sqrt{X_{n}}$.

(c)

How good are the approximations in parts (a) and (b) for $n=5, 10, 20, 100$?

Due Friday, December 3, 2004.

Problem 5.62

Not to be handed in.