The problem of estimating the product of three normal means of three i
ndependent normal distributions is considered. These types of estimati
on problems arise in many environmental applications, such as exposure
assessment and risk modeling. Classical confidence interval estimates
are available in the literature; we consider the problem from the Bay
esian approach using two different proper prior distributions and one
non-informative prior distribution. Assuming the quadratic loss, Bayes
ian estimates and Bayesian confidence intervals are given. Numerical i
ntegration or simulation are necessary to evaluate such confidence int
ervals. Computer programs written in Fortran are given to calculate th
ese confidence intervals. Examples are provided.