Table 2: Hypothesis designs and test schemes for μASN=μ0, α=β=0.05.

NUnder Asymptotic formulas Under Gaussian quadrature formulasεk(%)
kn0atanψkn0atanψ

5 1.6066 2.00722.04380.8033 1.3025 2.1953 2.21750.6513 23.35
10 1.0908 4.3542 3.01020.5454 0.9087 5.0028 3.42330.4544 20.04
15 0.8767 6.73953.74500.4384 0.7401 8.0001 4.22420.370118.46
20 0.7527 9.14484.36240.3764 0.6392 11.0000 5.25250.319617.76
25 0.669311.56304.9054 0.33470.5708 14.0000 5.9086 0.285417.26
30 0.6085 13.99035.39570.3043 0.5204 17.0000 6.5244 0.2602 16.93