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. 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 osuccessful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.X676475867373424048514451( a) Find Σx, Σγ, Σχ,, Σγ, Σχy, and r. (Round r to three decimal places.)Σχ= 438Ey = 276Ex?32264Ey?12806%3DΣχy= 20295r = 0.823(b) Use a 5% level of significance to test the claim thatp > 0. (Round your answers to two decimal places.)t = 2.90critical t = 2.13ConclusionReject the null hypothesis, there is sufficient evidence that> 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 is sufficient evidence that p > 0.(c) Find Se, a, b, and x. (Round your answers to four decimal places.)Se2.9785a = 8.997b = 0.5069X = |73(d) Find the predicted percentage ŷ of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.)52.08%(e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.)lower limitupper limit(f) Use a 5% level of significance to test the claim that ß > 0. (Round your answers to two decimal places.)t =critical t =ConclusionReject the null hypothesis, there is sufficient evidence that ß > 0.Reject the null hypothesis, there is insufficient evidence that ß > 0.Fail to reject the null hypothesis, there is insufficient evidence that B > 0.Fail to reject the null hypothesis, there is sufficient evidence that ß > 0.O O O O

using already calculated values, we will answer next parts: Se = 2.9785 a = 8.997, b = 0.5069 x¯ =…

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 o successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 73 51 67 64 75 86 73 42 40 48 51 44 ( a) Find Σχ, Σγ, Σx2 , Σy?, Σxy, and r. (Round r to three decimal places.) Ex = 438 Ey = 276 Ex? = 32264 V Ey2 = 12806 Exy = 20295 r = 0.823 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t = 2.90 critical t = 2.13 Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Find Se, a, b, and x. (Round your answers to four decimal places.) S, - 2.9785 a = 8.997 b = 0.5069 V x = 73 (d) Find the predicted percentage ŷ of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.) 52.08 V % (e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.) % |% lower limit upper limit (f) Use a 5% level of significance to test the claim that ß > 0. (Round your answers to two decimal places.) critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that B > 0. O Reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is sufficient evidence that B > 0.

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E