Table 4: Hypothesis designs and test schemes for μASN=μ1, α=β=0.05.

NUnder Asymptotic formulas Under Gaussian quadrature formulasɛk(%)
kn0atanψkn0atanψ

5 1.30893.0237 2.50850.65451.1875 2.9124 2.48580.5938 10.22
10 0.88356.6369 3.7164 0.4418 0.8264 6.2545 3.82130.4132 6.91
15 0.708310.32684.63580.35420.6715 10.0000 4.8351 0.3358 5.48
20 0.607114.0566 5.40850.3036 0.5803 13.4993 5.6872 0.2902 4.62
25 0.539317.81186.0883 0.2697 0.5183 17.0061 6.43680.2592 4.05
30 0.489921.5853 6.70220.2450 0.4727 20.8842 7.11310.2364 3.64