Question: A recent report criticizes SAT-testpreparation providers for promising big score gains without any hard data to back up such claims (The Wall Street Journal, May 2 0 , 2009). Suppose eight college-bound students take a mock SAT, complete a three-month test-prep course, and then take the real SAT. These scores can also be found on the text website, labeled Mock SAT.
![431_Student.png](https://secure.tutorsglobe.com/CMSImages/431_Student.png)
a. Specify the competing hypotheses that determine whether completion of the test-prep course increases a student's score on the real SAT.
b. Assuming that SAT scores are normally distributed, calculate the value of the test statistic and its associated p -value.
c. At the 5% significance level, does the sample data support the test-prep providers' claims?