F I L E The fo llo w in g ta b le lists th e N ational Basketball Association's leading scorers, their average points per gam e

(PPG), and their average m inutes per g am e (MPG) for 2008;

th e data are also available on th e te xt w ebsite, labeled Points.

PPG MPG D. Wade 30.2 38.6 L. James 28.4 37.7 K. Bryant 26.8 36.1 D. Nowitzki 25.9 37.3 D. Granger 25.8 36.2 K. Durant 25.3 39.0 C. Paul 22.8 38.5 C. Anthony 22.8 34.5 C. Bosh 22.7 38.0 B. Roy 22.6 37.2

a. Calculate and in terpret th e sam ple correlation coefficient b e tw e e n PPG and MPG.

b. Specify th e com peting hypotheses in order to determ in e w h e th e r th e po pulation correlation b etw een PPG and M P G is positive.

c. C alcu late th e v alu e o f th e test statistic a n d th e corresponding p -value.

d. A t th e 5 % significance level, w h a t is th e conclusion to th e test? Is this result surprising? Explain. P-968