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Which statistical test is used to compare the means of two populations?

  1. ANOVA test

  2. Chi-square test

  3. Student's t test

  4. Correlation test

The correct answer is: Student's t test

The Student's t test is used to compare the means of two populations, making it the most suitable choice for this scenario. This statistical test helps determine if there is a significant difference between the means by assessing whether the observed difference can be attributed to random sampling variability. It is particularly useful when the sample sizes are small and the data is approximately normally distributed. In contrast, the ANOVA test is designed for comparing the means of three or more groups, rather than just two. The Chi-square test focuses on categorical data to examine the association between variables, not the comparison of means. Lastly, the correlation test evaluates the relationship or association between two variables rather than comparing their means. Hence, the Student's t test is specifically tailored for the task of comparing two population means.