Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in aseason. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makesin a season. A random sample of n = 6 professional basketball players gave the following information.x676475867373y 423948 514451(a) Verify that Ex = 438, Ey = 275, Ex? = 32264, Ey? = 12727, Exy = 20231, and r= 0.827.Σχ 438Ey 275Ex2 32264Ey2 12727Exy 20231r 0.827(b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.)t 2.942critical t 2.132ConclusionOReject the null hypothesis, there is sufficient evidence that p > o.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) Verify that S, - 3.1191, a = 6.564, b = 0.5379, and x = 73.000.S. 3.119a 6.564b0.5379x 73(d) Find the predicted percentage ŷ of successful field goals for a player with x = 71% successful free throws. (Round youranswer to two decimal places.)|%(e) Find a 90% confidence interval for y when x = 71. (Round your answers to one decimal place.)lower limit%%upper limit(f) Use a 5% level of significance to test the claim that 6 > 0. (Round your answers to two decimal places.)tcritical tConclusionReject the null hypothesis, there is sufficient evidence that p > 0.Reject the null hypothesis, there is insufficient evidence that ß > 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.(9) Find a 90% confidence interval for ß. (Round your answers to three decimal places.)lower limitupper limitInterpret its meaning.O For every percentage increase in successful free throws, the percentage of successful field goals decreases by anamount that falls within the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals increases by anamount that falls outside the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals increases by anamount that falls within the confidence interval.O For every percentage increase in successful free throws, the percentage of successful field goals decreases by anamount that falls outside the confidence interval.

Answered: Image /qna-images/answer/86b154cb-9300-4a6e-b99c-98e59deb16e8.jpg

Answered: Let x be a random variable that…

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. (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ±
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. A random sample of n = 6 professional basketball players gave the following information. x 67 64 75 86 73 73 y 42 40 48 51 44 51 t Σx = 438, Σy = 276, Σx2 = 32264, Σy2 = 12806, Σxy = 20295, and r ≈ 0.823. (d) Find the predicted percentage of successful field goals for a player with x = 79% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 79. (Round your answers to one decimal place.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.) t critical t
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 0.336 0.296 0.340 0.248 0.367 0.269 y 3.2 7.5 4.0 8.6 3.1 11.1 (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t critical t ± (d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t critical t ± (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limit please show steps and work
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 67 70 69 81 65 86 y 51 54 45 56 50 49 Given that ∑x = 438, ∑y = 305, ∑x2 = 32,332, ∑y2 = 15,579, ∑xy = 22,302, and r = 0.226, find the P-value for a test claiming that ρ is greater than zero. 0.25 > P-value > 0.10 0.10 > P-value > 0.05 0.40 > P-value > 0.25 P-value < 0.0005 P-value > 0.40X
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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. 73 73 X 67 64 75 86 y 42 39 48 51 44 51 (a) Find Ex, Ey, Ex2, Ey2, Exy, and r. (Round r to three decimal places.) Ex=438✔✔ 2y = 275| v Ex2 32264✔✔ Ex² = Ey212727 Exy = 20231| r = .645 X
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Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Σχ - 64.2; Σ ? = 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77 6.2 8.6 7.0 7.5 8.3 6.9 10.0 9.7 y 9.7 10.3 10.9 11.5 14.2 7.0 14.6 12.2 Find the equation of the least-squares line. (Round your answers to three decimal places.) Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.) r = 2 = If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y = Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit mg/10 ml upper limit mg/10 ml Use level of significance 1% and test the claim that the…
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 73 74 80 66 77 77 y 50 52 45 46 52 53 Verify that Se ≈ 3.694, a ≈ 38.254, b ≈ 0.153, and , ∑x =447, ∑y =298, ∑x2 =33,419, and ∑y2 =14,858, and use a 5% level of significance to find the P-value for the test that claims that β is greater than zero. Group of answer choices Since the P-value is greater than α = 0.05, we reject the null hypothesis that the population slope β is equal to zero in favor of the alternate hypothesis that the population slope β is greater than zero. Since the P-value is equal to α = 0.05, we fail to reject the null hypothesis that the population slope β is equal to zero in favor of the…
TF.9 Let Z be a standard normal random variable. Find... a) P(-1.35 ≤ Z ≤ 2.48) b) the value of z so that P(Z ≥ z) = .1230

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