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What is a student's t-test used for in research?

  1. To determine sample size

  2. To compare the means of two groups

  3. To confirm hypothesis accuracy

  4. To test the variability within a dataset

The correct answer is: To compare the means of two groups

The student's t-test is primarily utilized to compare the means of two groups to determine if there is a statistically significant difference between them. This statistical test is particularly useful when dealing with small sample sizes and is grounded in the assumption that the data is approximately normally distributed. By calculating the t-statistic, researchers can assess whether the observed differences in means are likely due to random sampling variability or represent a true difference in the populations being studied. In contrast, the other options pertain to different aspects of statistical analysis and research methodology. For instance, determining sample size is typically done through power analysis rather than using a t-test. Confirming hypothesis accuracy is a broader goal of research, often involving various statistical tests beyond the t-test. Testing variability within a dataset is better accomplished using measures of dispersion such as variance or standard deviation, rather than comparing group means.