Does whether or not a student's ears are pierced tell us something about the student's Math SAT score?
a. Use software to access the student survey data, and carry out a two-sample t test for a difference between population mean Math SAT scores for students who do and do not have pierced ears. Report the P-value and state whether the difference is significant.
b. Which students averaged higher Math SAT scores: those with or without pierced ears?
c. What confounding variable plays a role in whether or not a student's ears are pierced, and also plays a role in Math SAT score?
d. How could you control for the confounding variable when looking at the relationship between pierced ears and Math SAT score?