ES(Use Excel) 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

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? PG-69

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Student Score on Mock SAT Score on Real SAT 1 1830 1840 2 1760 1800 3 2000 2010 4 2150 2190 5 1630 1620 6 1840 1960 7 1930 1890 8 1710 1780