Answer
n = 25, s = 462 , df = 25-1=24, α = 1-0.95 = 0.05
To find χ2 right ,
α/2=0.025
From the table,
χ2 right =39.364
To find χ2 left,
1-0.025=0.975
From the table,
χ2 left =12.401
The Confidence Interval for a Variance:
$ \frac{(n-1)s^2}{χ2 right}$