Which of the following statistical tests examines the equality of two means?

A. F-test

B. 't'-test

C. Chi-square (χ2) test

D. Mann-Whitney 'U' test

E. Kolmogorov-Smirnov test

Choose the correct answer from the options given below:

The correct answer is B and D only.

Key Points 

B. 't'-test: The 't'-test is used to compare the means of two groups and determine if they are significantly different from each other. It is commonly employed when the sample sizes are relatively small and assumptions of normality and equal variances are met.

D. Mann-Whitney 'U' test: The Mann-Whitney 'U' test, also known as the Wilcoxon rank-sum test, is a non-parametric test used to compare the medians of two independent groups. It can also be used as a test for comparing the means of two groups when the assumptions of normality and equal variances are not met.

Additional Information A. F-test
The F-test is utilized for comparing the variances of two or more groups. It is often employed as part of analysis of variance (ANOVA) to determine if there are significant differences between the means of multiple groups.

C. Chi-square (χ2) test
The Chi-square test is a non-parametric test used to assess the association between categorical variables. It is not suitable for comparing means directly.

E. Kolmogorov-Smirnov test
The Kolmogorov-Smirnov test is a non-parametric test used to compare the distribution of a sample to a specified distribution or to compare the distributions of two samples. It does not focus on means specifically.