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. x 67 64 75 86 73 73 y44 40 48 51 44 (a) Find 2x, 2y, 2x2, $y2, Exy, and r. (Round r to three decimal places.) x = 73 y = 45.833 Σχ2 - 200 Ey2 = 122.833 Σχν: 156 r = .827 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t-13.48 critical t 1.01 Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there sufficient evidence that p > 0. (c) Find S, a, b, and (Round your answers to four decimal places.) S = 4.9565 a = 6.5644 b = .5379 x = 73 (d) Find the predicted percentage y of successful field goals for a player with x = 70% successful free throws. (Round your answer % two decimal places.) (e) Find a 90% confidence interval for y when x = 70. (Round your answers to one decimal place.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that > 0. (Round your answers to two decimal places.) critical te Conclusion Reject the null is sufficient evidence that > 0. Reject the null hypothesis, there is insufficient evidence that > 0. Fail to reject the null hypothesis, there is insufficient evidence that 1 > 0. Fail to reject the null hypothesis, there is sufficient evidence that 8 > 0.