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Let x be a random variable that represents the batting average of a professional basebal player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n-6 professional basebal players gave the following information. 0.318 0.310 0.340 0.248 0.367 0.269 3.2 7.8 4.0 8.6 3.1 11.1 (a) Find Ex, Xy, Ex, Xy, Xxy, and r. (Round only r to three decimal places.) Xy - Xy - Exy- (b) Use a 5% level of significance to test the claim that p 0. (Round your answers to three decimal places.) criticalt Conclusion O Reject the null hypothesis, there is sufficient evidence that e differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Find S, a, and b. (Round your answers to four decimal places.) (d) Find the predicted percentage of strikeouts for a player with an x 0.320 batting average. (Round your answer to two decimal places.) (e) Find an 80% confidence interval for y when x-0.320. (Round your answers to two decimal places.) lower limit upper limit

Let x be a random variable that represents the batting average of a professional basebal player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n-6 professional basebal players gave the following information. 0.318 0.310 0.340 0.248 0.367 0.269 3.2 7.8 4.0 8.6 3.1 11.1 (a) Find Ex, Xy, Ex, Xy, Xxy, and r. (Round only r to three decimal places.) Xy - Xy - Exy- (b) Use a 5% level of significance to test the claim that p 0. (Round your answers to three decimal places.) criticalt Conclusion O Reject the null hypothesis, there is sufficient evidence that e differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Find S, a, and b. (Round your answers to four decimal places.) (d) Find the predicted percentage of strikeouts for a player with an x 0.320 batting average. (Round your answer to two decimal places.) (e) Find an 80% confidence interval for y when x-0.320. (Round your answers to two decimal places.) lower limit upper limit

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 batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. 0.318 0.310 0.340 0.248 0.367 0.269 y 3.2 7.8 4.0 8.6 3.1 11.1 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Round only r to three decimal places.) Σχ = ΣΥ Ex2 = Ey2 Σχy - (b) Use a 5% level of significance to test the claim that p + 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Find S, a, and b. (Round your answers to four decimal places.) 'e' Se a = (d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.320 batting average. (Round your answer to two decimal places.) (e) Find an 80% confidence interval for y when x = 0.320. (Round your answers to two decimal places.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that B + 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that B differs from 0. O Reject the null hypothesis, there is insufficient evidence that B differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that ß differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.
Transcribed Image Text:Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. 0.318 0.310 0.340 0.248 0.367 0.269 y 3.2 7.8 4.0 8.6 3.1 11.1 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Round only r to three decimal places.) Σχ = ΣΥ Ex2 = Ey2 Σχy - (b) Use a 5% level of significance to test the claim that p + 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Find S, a, and b. (Round your answers to four decimal places.) 'e' Se a = (d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.320 batting average. (Round your answer to two decimal places.) (e) Find an 80% confidence interval for y when x = 0.320. (Round your answers to two decimal places.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that B + 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that B differs from 0. O Reject the null hypothesis, there is insufficient evidence that B differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that ß differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.
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