What are the differences between a two sample t-test and a chi-square test, and how do they each contribute to statistical analysis?

A two-sample t-test is used to compare the means of two independent groups, while a chi-square test is used to determine if there is a relationship between two categorical variables. The t-test helps determine if there is a significant difference in means, while the chi-square test helps determine if there is a significant association between variables. Both tests are important tools in statistical analysis for making inferences about populations based on sample data.