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et 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 random sample of n = 6 professional basketball players gave the following information. X 67 64 75 86 73 73 y 44 39 48 51 44 51 (a) Find Ex, Ey, Ex2, Ey2, Exy, and r. (Round r to three decimal places.) Ex-438✔ Ey=277✔ Ex²32264✔✔ 2²-12899 2xy = 20365 r=803 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t=2.69✔ critical = 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. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Find S, a, b, and x. (Round your answers to four decimal places.) S-4.6364 X a = 8.997 X b=5069✔ x = 73.0000✔ (d) Find the predicted percentage of successful field goals for a player with x = 70% successful free throws. (Round your answer to two decimal places.) 44.48 % (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.) t= critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that > 0. O Reject the null hypothesis, there is insufficient evidence that > 0. O Fail to reject the null hypothesis, there is insufficient evidence that > 0. O Fail to reject the null hypothesis, there is sufficient evidence that > 0.

et 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 random sample of n = 6 professional basketball players gave the following information. X 67 64 75 86 73 73 y 44 39 48 51 44 51 (a) Find Ex, Ey, Ex2, Ey2, Exy, and r. (Round r to three decimal places.) Ex-438✔ Ey=277✔ Ex²32264✔✔ 2²-12899 2xy = 20365 r=803 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t=2.69✔ critical = 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. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Find S, a, b, and x. (Round your answers to four decimal places.) S-4.6364 X a = 8.997 X b=5069✔ x = 73.0000✔ (d) Find the predicted percentage of successful field goals for a player with x = 70% successful free throws. (Round your answer to two decimal places.) 44.48 % (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.) t= critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that > 0. O Reject the null hypothesis, there is insufficient evidence that > 0. O Fail to reject the null hypothesis, there is insufficient evidence that > 0. O Fail to reject the null hypothesis, there is sufficient evidence that > 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. X y Σy² 12899 Exy = 20365 r=.803 = (a) Find Σx, Σy, Σx2, Σy2, Σxy, and r. (Round r to three decimal places.) Ex = 438 2y = 277| Σχ2 = 32264 67 44 64 75 86 73 73 39 48 51 44 51 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t = 2.69 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. O 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 4.6364 X a = 8.997 X b=.5069 x = 73.0000 (d) Find the predicted percentage ŷ of successful field goals for a player with x = 70% successful free throws. (Round your answer to two decimal places.) 44.48 % (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 p > 0. (Round your answers to two decimal places.) t = critical t = 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 ß > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
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 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 y Σy² 12899 Exy = 20365 r=.803 = (a) Find Σx, Σy, Σx2, Σy2, Σxy, and r. (Round r to three decimal places.) Ex = 438 2y = 277| Σχ2 = 32264 67 44 64 75 86 73 73 39 48 51 44 51 (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) t = 2.69 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. O 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 4.6364 X a = 8.997 X b=.5069 x = 73.0000 (d) Find the predicted percentage ŷ of successful field goals for a player with x = 70% successful free throws. (Round your answer to two decimal places.) 44.48 % (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 p > 0. (Round your answers to two decimal places.) t = critical t = 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 ß > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
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