Suppose that you wish to test H 0 l 1 l 2 versus H 1 1 2 , where 2 1 and 2 2 are known The total sample size N is to be determined, and the allocation of observations to the two populations such that n 1 n 1 N is to be made on the basis of cost If the cost of sampling for populations 1 and 2 are C 1 and C 2 , respectively, find the minimum cost sample sizes that provide a specified variance for the difference in sample means

Question: Suppose that you wish to test H 0 : l 1 = l 2 versus H 1 : 1 2 , where

Suppose that you wish to test H₀: l₁ = l₂ versus H₁: μ₁ ≠ μ₂, where σ²₁ and σ²₂ are known. The total sample size N is to be determined, and the allocation of observations to the two populations such that n₁ + n₁ = N is to be made on the basis of cost. If the cost of sampling for populations 1 and 2 are C₁ and C₂, respectively, find the minimum cost sample sizes that provide a specified variance for the difference in sample means.

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