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	65	80	68	64	69	71
y	43	49	51	47	42	52

Given thatS_e 4.306,a 17.085,b0.417, and, x =417, y =284,x²=29,147, and y²=13,528, find a 98% confidence interval foryaround 53.4 whenx= 87.