  A topological superconducting wire with an effective time reversal symmetry
is known to have a $\mathbb{Z}_8$ topological classification in the presence of
interactions. The topological index $|n| \le 4$ counts the number of Majorana
end states, negative $n$ corresponding to end states that are odd under time
reversal. If such a wire is weakly coupled to a normal-metal lead, interactions
induce a Kondo-like correlated state if $|n| = 4$. We show that the Kondo-like
state manifests itself in an anomalous temperature dependence of the zero-bias
conductance and by an anomalous Fano factor for the zero-temperature
normally-reflected current at finite bias. We also consider the splitting of
the effective Kondo resonance for weak symmetry-breaking perturbations.
