The sampling detection model based on the t-test algorithm is solved

The t-test model composed of small samples of data has a wide range of applications in statistical inference. In this paper, a hypothesis testing method based on the t-distribution is proposed, which can accurately describe the position and difference of small sample data in statistical inference. In view of the detection of the difference between the sample mean and the population mean and the comparison of the mean of two samples, statistical hypotheses and test statistics are constructed, and the accuracy and applicability of the method are verified by numerical examples, which provides a basis for further research on the inference under complex sampling problems.