Which statistical test is used to compare mean values of a continuous variable between two groups?

The T-Test is the appropriate statistical test used to compare mean values of a continuous variable between two groups. This test assesses whether the means of two independent samples are significantly different from each other. It generates a t-value that reflects the difference in means relative to the variation in the sample data, allowing researchers to determine if the observed differences are likely due to chance.

For example, if you wanted to compare the average height of men and women in a certain sample population, the T-Test would provide the necessary statistical framework to determine whether any observed difference in heights is statistically significant.

In contrast, the Chi-Square Test is used for categorical variables to examine the association or independence between two variables. ANOVA, while also used for comparing means, is appropriate when comparing means between three or more groups rather than just two. Regression Analysis is used to understand relationships between variables and predict one variable based on another, not specifically for comparing means. Thus, for the straightforward goal of comparing two groups' means of a continuous variable, the T-Test is the correct choice.