  The correct quark and charged lepton mass matrices along with a nearly
correct CKM matrix may be naturally accommodated in a Pati-Salam model
constructed from intersecting D6 branes on a $T^6/(\Z_2 \times \Z_2)$
orientifold. Furthermore, near-tribimaximal mixing for neutrinos may arise
naturally due to the structure of the Yukawa matrices. Consistency with the
quark and charged lepton mass matrices in combination with obtaining
near-tribimaximal mixing fixes the Dirac neutrino mass matrix completely. Then,
applying the seesaw mechanism for different choices of right-handed neutrino
masses and running the obtained neutrino parameters down to the electroweak
scale via the RGEs, we are able to make predictions for the neutrino masses and
mixing angles. We obtain lepton mixing angles which are close to the observed
values, $\theta_{12} =33.8^{\circ}\pm1.2^{\circ}$,
$\theta_{23}=46.9^{\circ}\pm0.9^{\circ}$, and
$\theta_{13}=8.56^{\circ}\pm0.20^{\circ}$. In addition, the neutrino
mass-squared differences are found to be $\Delta m^2_{32} =
0.0025\pm0.0001$~eV$^2$ and $\Delta m^2_{21} = 0.000075\pm0.000003$~eV with
$m_1=0.0150\pm0.0002$~eV, $m_2=0.0173\pm0.0002$~eV, and $m_3=0.053\pm 0.002$~eV
so that $\sum_i m_i = 0.085\pm0.002$~eV, consistent with experimental
observations.
