Answer
$χ2_{0.995} = 3.565$
$χ2_{0.025} = 29.819$
Work Step by Step
n = 14, df = n-1 = 13, Confidence level 99%
α = 1 - 0.99 = 0.01
α/2 = 0.005, 1 - α/2 = 0.995
Using table-VII of the book we have:
$χ2_{1-α/2} = χ2_{0.995} = 3.565$
$χ2_{α/2} = χ2_{0.025} = 29.819$