# 420Exam2Aans - STAT 420 Spring 2009 Version A Name ANSWERS...

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1. A society of bird watchers has collected data from several towns on stork sighting ( x ) and human births ( y ) to test the widely expressed belief that storks bring babies. Assume that ( X , Y ) have a bivariate normal distribution. The data are given in the table below: Storks, x 18 16 10 20 14 26 22 Babies, y 27 15 13 21 19 39 27 Σ x = 126, Σ y = 161, Σ x 2 = 2,436, Σ y 2 = 4,175, Σ x y = 3,150, Σ ( x x ) 2 = 168, Σ ( y y ) 2 = 472, Σ ( x x ) ( y y ) = Σ ( x x ) y = 252. a) (7) Test H 0 : ρ = 0 vs. H a : ρ > 0 at the α = 0.10 level of significance. What is the p-value of the test? (You can give a range.) ( ( ( 29 ( 29 472 168 252 2 2 = - - - - = y y x x y y x x r 0.8949 .
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