Answer
$X_{1-\frac{α}{2}}^2=X_{0.975}^2=40.482$
$X_{\frac{α}{2}}^2=X_{0.025}^2=83.298$
Work Step by Step
$n=61$. So:
$d.f.=n-1=60$
$X_{1-\frac{α}{2}}^2=X_{0.975}^2=40.482$
(According to Table VII, for d.f. = 60 and area to the right of critical value = 0.975)
$X_{\frac{α}{2}}^2=X_{0.025}^2=83.298$
(According to Table VII, for d.f. = 60 and area to the right of critical value = 0.025)