Answer
$t_{\frac{α}{2}}=t_{0.02}=2.167$
Work Step by Step
$n=26$, so:
$d.f.=n-1=25$
$level~of~confidence=(1-α).100$%
$96$% $=(1-α).100$%
$0.96=1-α$
$α=0.04$
$t_{\frac{α}{2}}=t_{0.02}=2.167$
(According to Table VI, for d.f. = 25 and area in right tail = 0.02)