When the necessary conditions are met, a two-tail test is being conducted at = 0.05 to test . The two sample variances are , and the sample sizes are . The calculated value of the test statistic will be F = 2.

Two-tail Test

A statistical test that considers both the directions of a possible effect, testing for the possibility of positive or negative deviations from the null hypothesis.

Sample Variances

A measure of the dispersion or variability within a sample data set, which indicates how much the sample elements differ from the sample mean.

Test Statistic

A standardized value that is calculated from sample data during a hypothesis test. It's used to determine whether to reject the null hypothesis.