  This paper revisits the procedures suggested by Dudewicz and Dalal (1975) and
Rinott (1978) which are designed for selecting the population with the highest
mean among independent Gaussian populations with unknown and possibly different
variances. In a previous paper Jacobovic and Zuk (2017) made a conjecture that
the relative asymptotic efficiency of these procedures equals to the ratio of
two certain sequences. This work suggests a quasi-Bayesian modelling of the
problem under which this conjecture is valid. In addition, this paper motivates
an open question regarding the extreme value distribution of the maxima of
triangular array of independent student-t random variables with an increasing
number of degrees of freedom.
