please answer this question

Let x be a random variable that represents the percentage of successful free throws a professional basketba player makes in a season. Let y be a random variable that represents the percentage of successful eld goai a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 16 57 36 34 59 39 46 y 4 27 34 36 39 40 Verify that S,3 : 5.306, a 2 22.283, b 3 0.318, and f is 45.167, 2x = 271, 2y = 220, 2x2 =12,319, and D2 8,238, and nd a 80% condence interval for y around 37.865 when x = 49. Round your nal answers to one decimal place. r\". between 28.5 and 47.2 If? between 29.5 and 46.3 r\". between 28.7 and 47.1 (\"I between 28.9 and 46.9 (\"I between 29.0 and 46.7