Answer
$t_{\frac{α}{2}}=t_{0.005}=2.898$
Work Step by Step
$n=18$, so:
$d.f.=n-1=17$
$level~of~confidence=(1-α).100$%
$99$% $=(1-α).100$%
$0.99=1-α$
$α=0.01$
$t_{\frac{α}{2}}=t_{0.005}=2.898$
(According to Table VI, for d.f. = 17 and area in right tail = 0.005)