Mark the given statement true or false. If you believe that the statement is false, briefly explain why you think it is false.

A Two-sample t-test that pools the variances is equivalent to a simple regression of the response on a single dummy variable.

Choose the correct answer below from the following:

1. The statement is false because a two-sample t-test tests the difference between two means and a simple regression of a response on a dummy variable does not.

2. The statement is false because a two-sample t-test analyzes a difference between variances and a simple regression of a response on a dummy variable does not.

3. The statement is false because a simple regression of a response on a dummy variable tests the difference between two means and a two-sample t-test does not.

4. The statement is true.