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 aseason. A random sample of n = 6 professional basketball players gave the following information.676475867373y443948514451(a) Verify that Ex =438, Ey277, Σχ- 32264, Σy= 12899, Exy = 20365, and r = 0.803.%3DΣχEyEx?Ey?Σχyr(b) Use a 5% level of significance to test the claim thatp > 0. (Round your answers to two decimal places.)tcritical tConclusionO Reject the null hypothesis, there is sufficient evidence that p > 0.O 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) Verify that S̟ 3.1357, a - 9.918, b = 0.4966, and x = 73.000.Sea(d) Find the predicted percentage ŷ of successful field goals for a player with x = 67% successful free throws. (Round your answer to two decimal places.)%(e) Find a 90% confidence interval for y when x = 67. (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 tConclusionO Reject the null hypothesis, there is sufficient evidence that B > 0.Reject the null hypothesis, there is insufficient evidence that ß > 0.Fail to reject the null hypothesis, there is insufficient evidence that ß > 0.Fail to reject the null hypothesis, there is sufficient evidence that ß > 0.(g) Find a 90% confidence interval for ß. (Round your answers to three decimal places.)lower limitupper limit

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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. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1 Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874. (e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit
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