E) find a 99% confidence interval for y when x =0.296. use 2 decimal places for youranswer. lower limits and upper limits. G) find a 99% confidence interval for b and interpret its meaning. use 2 decimal places for your answer. lower limits and upper limits

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. 0.324 0.310 0.340 0.248 0.367 0.269 7.1 1.0 8.6 11.1 (a) Verify that Ex = 1.858, Zy = 37.4, Ex? = 0.58523, Ey?= 285.44, Exy = 10.9514, and / ~ -0.877. Ex 1.858 Ey 37 4 Xx2 0.58523 Ey2 285.44 Exy 10 9514 |0.877 (b) Use a 1% level of significance to test the claim that p # 0. (Use 2 decimal places.) t -3 65 critical t + 4:60 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 o differs from 0, (c) Verify that S. ~ 1.7379, a & 26.005, and b ~ -63.848, - 1 7379 26 005 9 -63.848