The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes 71 = 15 and n2 = 17 are selected, and the sample means and sample variances are X1 = 8.72, s, = 0.35, x2 = 8.68, $, = 0.40, respectively. Assume that or = o? and that the data are drawn from a normal distribution. V Good. Since the P-value is quite large, we fail to reject Ho for any reasonable choice of a. There is insufficient evidence to show a difference in the diameter of steel rods manufactured on the two different extrusion machines. (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 >0.80 Conclusion: Fail to reject v Ho- eTextbook and Media X Incorrect. Try again. Remember to carry enough significant digits so that your final answer is correct to 3 decimal places. (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. i