Two independent samples are to be compared to see if there is a difference in the population means. If a total of m subjects are available for the experiment, how should this total be allocated between the two samples in order to (a) provide the shortest confidence interval for μX-μY and (b) make the test of H0: μX=μY as powerful as possible? Assume that the observations in the two samples are normally distributed with the same variance. | Numerade
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