Critical Regions for Tests of Interval Hypotheses About the Variance

Abstract

Abstract The critical regions for the uniformly most powerful unbiased tests of and where σ2 is the variance of a normal distribution with unknown mean, can be expressed in terms of equations which require numerical methods for solution. Graphs are included from which these critical regions may be read for significance levels α = .05, .10. The graphs may also be used to obtain critical regions for the corresponding hypotheses concerning the parameters of two other distributions. Calculation of power is discussed.