Abstract
The idea of using range in place of sample standard deviation in sequential testing of hypotheses is not new. Cox (1949) proposed a sequential test based on sample range for the simple hypothesis of testing the standard deviation of a normal population. He and later Rushton (1952) constructed a sequential test based on the ratio of two mean ranges for testing the ratio of standard deviations of two normal populations. Quite recently Gilchrist (1961) proposed a sequential range test for the mean of a normal population. The purpose of the present note is to discuss some possible sequential procedures based on sample range and mean range for the ratio of two variances, o- and o2, of two distinct normal populations with known or unknown means. More precisely, our problem is to discriminate between the pair of composite hypotheses
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