Question: Refer to Hay fever relief. Suppose that the sample sizes have not yet been determined but it has been decided to use equal sample sizes for each treatment. The chief objective is to identify the dosage combination that yields the longest mean relief. The: ability should be at least $.99$ that the correct dosage combination is identified when the mean relief duration for the second best combination differs by .5 hour or more. What are the mean required sample sizes? Assume that a reasonable planning value for the error standard deviation is \(\sigma=.29\) hour.

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