On the Student's Test Based on Sample Per- centiles from the Normal, Logistic and Cauchy Distribution

The Student's test of Ho: p, = /o0 against H,: ju 7 go of the location parameter pg of the normal, logistic and Cauchy distributions when the scale parameter a is unknown based on a few selected sample percentiles is considered. Tables facilitating the computation of the testing statistic are provided and the effects of the biases of the linear estimates involved on the test are investigated.