Chapter 8.5, Problem 48E

a.

To determine

Verify that $2{\displaystyle \sum _1^n\frac{Y_i}{\beta }}$ is a pivotal quantity and has a ${\chi }^2$ distribution with 4n df.

b.

To determine

Obtain the 95% confidence interval for $\beta$.

c.

To determine

Obtain the 95% confidence interval for $\beta$ if a sample size is n=5 and $\overline{y}=5.39$.