Which of the following is not a requirement for using the paired t-test?

The paired t-test is specifically designed to analyze data that has paired or related samples. This means that each data point in one sample is uniquely connected to a data point in another sample, such as measurements taken before and after a treatment on the same subjects.

For the paired t-test to be conducted appropriately, certain requirements must be met. One of the key requirements is that the samples are not independent; they are dependent because they are paired. Therefore, independent samples are not a requirement for using the paired t-test, which makes this option the correct answer to the question.

In addition, the test requires normally distributed data, which means the differences between the paired samples should approximate a normal distribution, and the data type must be continuous. These conditions ensure that the t-test results are valid and reliable when comparing the means of the paired observations.