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 0.342 0.290 0.340 0.248 0.367 0.269 y 3.1 7.2 40 8.6 3.1 11.1 (a) Verify that Ex - 1.856, Ey = 37.1, Ex2 - 0.585218, Ey? - 284.23, Exy = 10.7646, and r = -0.912. Ex Ey EX EV Exy b) Use a 10% level of significance to test the claim that p # 0. (Use 2 decimal places.) 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. 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 that S. ~ 1.5150, a ~ 26.024, and b ~ -64.141. Sel (d) Find the predicted percentage y of strikeouts for a player with an x = 0.292 batting average. (Use 2 decimal places.) % (e) Find a 99% confidence interval for y when x = 0.292. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that B + 0. (Use 2 decimal places.) 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. Fail to reject the null hypothesis, there is sufficient evidence that @ differs from 0. (g) Find a 99% confidence interval for / and interpret its meaning. (Use 2 decimal places.) lower limit upper limit