The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n1 = 15 and n2 = 17 are selected, and the sample means and sample variances are x1 = 8.72, s, = 0.35, x2 = 8.68, s? = 0.40, respectively. Assume that or = o? and that the data are drawn from a normal distribution. (a) Is there evidence to support the claim that the two machines produce rods with different mean diameters? Give bounds on the P-value used to make your conclusion. Use only Table V of Appendix A. P-value Conclusion: Fail to reject v Ho. eTextbook and Media (b) Construct a 95% confidence interval for the difference in mean rod diameter. Use only Table V of Appendix A. Round your answer to 3 decimal places