The z-test and t-test have been applied for testing the hypothesis that the population mean is equal to the specified mean value. In this paper, we will introduce the modification of the z-test and t-test using the double sampling scheme. We will present the operational process to implement the proposed tests. The power of the proposed test will be calculated for normal distribution, the Weibull distribution, Chi-square distribution, t-distribution and Cauchy distribution for various sample sizes. The application of the proposed tests is given using the speed of earth data. From the comparisons, it is found that the proposed test provides a higher power of the test for all distributions than the existing z-test.

z 检验和 t 检验已用于检验总体均值等于指定均值的假设。在本文中，我们将介绍使用双采样方案对 z-test 和 t-test 的修改。我们将介绍实施建议测试的操作流程。将针对不同样本量的正态分布、威布尔分布、卡方分布、t 分布和柯西分布计算建议检验的功效。所提议的测试的应用是使用地球数据的速度给出的。从比较中可以发现，与现有的 z 检验相比，建议的检验为所有分布提供了更高的检验功效。