t分布及其应用的探讨

Discussion on t-Distribution and Its Application

摘要: t分布是统计学中的一类重要分布，它在区间估计和假设检验中有很重要的应用，具体包括单样本的区间估计、独立两样本的区间估计、单样本的均值检验、两样本均值差的t检验。文中详细介绍了t分布定义性质及其在产品寿命、渔业、农业等实际生活中的应用，并借助统计软件SPSS实现单样本t检验和两样本t检验。

Abstract: The t-distribution is an important distribution in statistics, it has very important application in the interval estimation and hypothesis test, including t-test in the interval estimation of single samples, two samples of independent interval estimation, one sample of the mean test, two sample mean difference. The paper introduces the nature of t-distribution and its application in real life, such as product life, fishery, agriculture, and also achieves a single sample and two sample t-test in the test of hypothesis with the help of the statistical software SPSS.