Identify whether each of the following is a matched pairs or a two sample t-test. Justify your
decision.
a. A Core mathematics project is testing an innovative approach to teaching Mathematics
that emphasizes group investigations and mathematics modeling. A sample of students
were exposed to this new approach and then learned through a traditional curriculum.
Assume the same students were used for both samples. Student learning was assessed
through a test to see if this new approach led to different learning gains as compared to
the traditional approach.
b. A researcher wants to compare whether Walmart shoppers spent a
different amount than Target shoppers. The researcher randomly selected 28 Walmart
shoppers and computed the mean and standard deviation of the amount spent on a trip.
The researcher randomly selected 34 Target shoppers and computed the same values.