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 a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 86 70 80 76 70 67 y 57 43 46 50 50 41 Given that SeN 4.075, as 16.319, b 0.435, and x 74.833, Ex = 449, Ey = 287, Ex = 33,861, and Ey %3D 13,895, find a 99% confidence interval for y when x = 72. %D

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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 a random variable that represents the percentage of
successful field goals a professional basketball player makes in a season. A random sample of n =
6 professional basketball players gave the following information.
86
70
80
76
70
67
y
57
43
46
50
50
41
Given that SeN 4.075, as 16.319, b 0.435, and x 74.833, Ex = 449, Ey = 287, Ex = 33,861,
and Ey
%3D
13,895, find a 99% confidence interval for y when x = 72.
%D
Transcribed Image Text: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 a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 86 70 80 76 70 67 y 57 43 46 50 50 41 Given that SeN 4.075, as 16.319, b 0.435, and x 74.833, Ex = 449, Ey = 287, Ex = 33,861, and Ey %3D 13,895, find a 99% confidence interval for y when x = 72. %D
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