CorreMY NOTES 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 73y 44 39 48 51 44 51A. Find Σx, Σy, Σx2, Σy2, Σxy, and r. Σx = Σy = Σx2 = Σy2 = Σxy = r =B. Use a 5% level of significance to test the claim that rho > 0. t = critical t =Conclusion:Reject the null hypothesis. There is sufficient evidence that rho > 0.Reject the null hypothesis. There is insufficient evidence that rho > 0. Fail to reject the null hypothesis. There is insufficient evidence that rho > 0.Fail to reject the null hypothesis. There is sufficient evidence that rho > 0. C. Find the approximate values of Se, a, b, and x bar. (Round your answers to three decimal places.)Se ≈ a ≈ b ≈ x bar ≈D. Find the predicted percentage y of successful field goals for a player with x = 81% successful free throws. E. Find a 90% confidence interval for y when x = 81. F. Use a 5% level of significance to test the claim that β > 0. t = critical t =Conclusion:Reject the null hypothesis. There is sufficient evidence that β > 0.Reject the null hypothesis. There is insufficient evidence that β > 0. Fail to reject the null hypothesis. There is insufficient evidence that β > 0Fail to reject the null hypothesis. There is sufficient evidence that β > 0.