Sequential analysis applied to testing the mean of a mormal population with known coefficient of variation

Given a normal population with mean y and known coefficient of variation the hypothesis H₀:μ=μ₀ is tested against H₁:μ=μ₁ using the sequential probability ratio test. The maximum of the expected sample number is shown to occur when μ is approxi¬mately equal to the harmonic mean of μ₀ and μ₁ and it is shown that this maximum value depends on μ₀ and μ₁, only through and it is found that the above test might be used to test H₀:μ≦μ₀ yntheir ratio. The operating characteristic function is investigated and it is found that the above test might be used to test against H₁:μ≧μ₁.