给定一个单词，输出包含这个单词的五个句子，这些句子可以在一个语料库中找到，并且这些句子应该具有各种复杂度和难度等级。例如，句子可以包含多个从句、难以理解的语法结构和专业术语。


统计学
1. "The central limit theorem is a fundamental concept in statistics, which states that when independent random variables are added, their sum tends towards a normal distribution."
2. "Hypothesis testing is a common technique used in statistics to determine the likelihood of a given hypothesis, typically by comparing sample data to a predetermined probability distribution."
3. "A chi-square test is a statistical method used to determine the degree of association between two categorical variables."
4. "Multivariate analysis is a complex statistical technique used to analyze relationships between multiple variables, often used in fields such as data science and social sciences."
5. "Bayesian statistics is a probability-based approach to statistical inference that incorporates prior beliefs and updated information to calculate the likelihood of a given hypothesis."