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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 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. X 67 64 75 86 73 73 42 40 48 51 44 51 ( a) Find Σx, Σγ, Σχ,, Σγ, Σχy, and r. (Round r to three decimal places.) Σχ = 438 Ey = 276 Ex? 32264 Ey? 12806 %3D Σχy = 20295 r = 0.823 (b) Use a 5% level of significance to test the claim thatp > 0. (Round your answers to two decimal places.) t = 2.90 critical t = 2.13 Conclusion Reject 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.) Se 2.9785 a = 8.997 b = 0.5069 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 % (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.) t = critical t = Conclusion Reject 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
Transcribed Image Text: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. X 67 64 75 86 73 73 42 40 48 51 44 51 ( a) Find Σx, Σγ, Σχ,, Σγ, Σχy, and r. (Round r to three decimal places.) Σχ = 438 Ey = 276 Ex? 32264 Ey? 12806 %3D Σχy = 20295 r = 0.823 (b) Use a 5% level of significance to test the claim thatp > 0. (Round your answers to two decimal places.) t = 2.90 critical t = 2.13 Conclusion Reject 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.) Se 2.9785 a = 8.997 b = 0.5069 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 % (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.) t = critical t = Conclusion Reject 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
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