C is asking for the Lower Bound:

The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes n1=13 and n2=16 are selected, and the sample means and sample variances are 2 2 X1 = 8-73. 51 = 0-30. X2 = 8-68. 52 = 0-40: respectively. Assume that the data are drawn from a normal distribution. Construct the following (using only Table VI of Appendix A): (a) A 90% two-sided c1 on 01 1' 02- Round your answers to 3 decimal places. c1: [ , ] (b) A 95% two-sided c1 on 01/ 02- Round your answers to 3 decimal places. CI: [ , ] which of the following is a true statement regarding the widths of the 90% and 95% C15? 1. The width of the 95% CI is larger because we have more condence in the 95% interval. 2. The width of the 95% CI is larger because there is a greater probability that it contains the true ratio of standard deviations. 3. The 90% CI is better since it has smaller width than the 95% CI. 4. The 95% CI is wider because it is 5% more likely to contain the true ratio of standard deviations. True statement: (c) A 90% lower-condence bound on 01/02. Round your answer to 3 decimal places