Confidence statements about location (or scale) parameters associated withKpopulations, which may be used in making selection decisions about those populations, are investigated. When a subset of fixed sizetis selected from theKpopulations a lower bound is obtained for the minimum selected parameter as a function of the maximum non-selected parameter. Tables are produced for the normal means case when the variance is common but unknown. It is pointed out that these tables may be used to find confidence intervals discussed by Hsu (1984