Question
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be
Letxbe a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Letybe a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample ofn= 6 professional basketball players gave the following information.
x= 67, 64, 75, 86, 73, 73 y= 44, 39, 48, 51, 44, 51
x=438,y=277,x2=32264,y2=12899,xy=20365, andr0.803.
Se3.1357,a9.918,b0.4966, andx73.000.Se
Find the predicted percentageof successful field goals for a player withx=71%successful free throws. (Round your answer to two decimal places.)
=45.18%
(a) Find a 90% confidence interval forywhenx=71. (Round your answers to one decimal
place.)
lower limit%=
upper limit%=
(b) Use a 5% level of significance to test the claim that> 0. (Round your answers to two decimal places.)
t=
critical t=
(c) Find a 90% confidence interval for. (Round your answers to three decimal places.)
lower limit=
upper limit=
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