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.*need parts D, E, F, and G answered please. Thank you! Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that representsthe percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the followinginformation.0.3220.3060.3400.2480.3670.2692.67.64.08.63.111.1(a) Verify that Ex = 1.852, Ey = 37, Ex? = 0.581474, Ey? = 287.3, Exy = 10.7792, and rx -0.842.Ex 1.852Σγ 37Ex2 0.581474Ey 287.3Exy 10.7792r-0.842(b) Use a 5% level of significance to test the claim that p # 0. (Use 2 decimal places.)tcritical t +ConclusionO 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) Verify thats,x 2.0764, a x 26.323, and b x -65.300.S 2.0764a 26.323b-65.300(d) Find the predicted percentage ý of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.)%(e) Find a 90% confidence interval for y when x = 0.33. (Use 2 decimal places.)lower limit%upper limit%(f) Use a 5% level of significance to test the claim that B # 0. (Use 2 decimal places.)critical t +ConclusionReject 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 B differs from 0.O Fail to reject the null hypothesis, there is sufficient evidence that B differs from 0.(g) Find a 90% confidence interval for B and interpret its meaning. (Use 2 decimal places.)lower limitupper limitInterpretationO For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidenceinterval.O For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidenceinterval.For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidenceinterval.O For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidenceinterval.

Excel is used to perform the required regression analysis. Steps are as; Enter the given data into…

(c) Verify that S,* 2.0764, ax 26.323, and bx -65.300. S 2.0764 a 26.323 b-65.300 (d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.33 batting average. (Use 2 decimal places.) (e) Find a 90% confidence interval for y when x = 0.33. (Use 2 decimal places.) lower limit upper limit % (f) Use a 5% level of significance to test the claim that B # 0. (Use 2 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 B differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that ß differs from 0. (g) Find a 90% confidence interval for B and interpret its meaning. (Use 2 decimal places.) lower limit upper limit Interpretation O For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval. O For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval. O For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval. O For every unit increase in batting average, the percentage strikeouts increases by an amount that falls outside the confidence interval.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P