  In the $\W+$ 2,3 jet data collected by CDF during the 1992-1995 Fermilab
collider run, 13 events were observed to contain a superjet when $4.4 \pm 0.6$
events are expected. A previous article detailed the selection and the
kinematical properties of these events. The present paper provides estimates of
the probability that the kinematics of these 13 events is statistically
consistent with the standard model prediction.
