An experimenter feels that observations from population A have a standard deviation no larger than 10.0 and

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An experimenter feels that observations from population A have a standard deviation no larger than 10.0 and that observations from population B have a standard deviation no larger than 15.0. If the experimenter wants a two-sided 99% confidence interval for the difference in population means with a length no larger than L0 = 10.0. What (equal) sample sizes would you recommend be obtained from the two populations?
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