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.

x867080767067y574346505041

Given thatSe 4.075,a 16.319,b0.435, and, x =449, y =287,x2=33,861, and y2=13,895, find a 99% confidence interval forywhenx= 72.

Select one:

a.between 25.6 and 66.6

b.between 25.3 and 66.8

c.between 27.0 and 65.1

d.between 25.8 and 66.3

e.between 24.9 and 67.2