Which of the studies below would be analyzed using a t-test for dependent means

a. The study of the effectiveness of a new medication given to the same subjects at two points in time
b. A study comparing men and women on a test of motor function
c. A study comparing the mean of a sample of students on a test of motor function to a known population mean and variance
d. A study examining the ideal dosage for a new medication

Here's a hint to help you answer this question:

In a t-test for dependent means, each subject participates in two research conditions (like a 'before' condition and an 'after' condition).

The study that would be analyzed using a t-test for dependent means is option a: the study of the effectiveness of a new medication given to the same subjects at two points in time.

A t-test for dependent means, also known as a paired or matched samples t-test, is used when the same subjects are measured or tested twice under two different conditions, and we want to determine if there is a significant difference between the two sets of measurements or scores.

In this case, the study involves administering the new medication to the same subjects at two different points in time. By comparing the measurements or scores of the subjects before and after taking the medication, the t-test for dependent means can be used to analyze whether there is a significant difference in the effectiveness of the medication over time.