[10 points + 1 point BONUS) 2. A textile manufacturer wanted to know if the breaking load (kgf25 mm width] is greater for unabraded fabrics versus fabrics that were abraded. Abraded fabrics are produced by the use of friction to produce surface wear on the fabric. The manufacturer randomly selected equal-sized sections of eight of their fabrics. Each section was then equally divided into two pieces, with the abrasion process being applied to one of them. The tensile strength measurements were taken for all of the fabric pieces with the results given in the following table. You will not need to use the information from all the rows. Please assume that the distribution is normal. Tensile Strenth in Kf25 mm width \"n\" Unabraded 1. 43.625 0.604 Abraded .3- 33.325 11.253 Unabraded-Abraded \"-11.5563 {1 pt.) a) Should this situation be analyzed via a 2-sample independent or paired method? Please explain your answer. if this is a paired situation, piease state the common characteristic that makes these data paired. {6 pts.) b) Is there any evidence to suggest that the mean tensile strength of the unabraded fabrics is greater than the strength ofthe abraded fabrics? Use at = I105. Remember to include the comptete 4step method in the hypothesis test. (2 pts.) c) Calculate and interpret the appropriate condence interval or bound based on the question in part b). {1 pt.) d) In practical terms, does the data imply that the mean tensile strength of the unabraded fabrics is greater than that of the abraded fabrics? Please explain your reasoning. This part uses the information from parts b] and 1:. However, if your explanation only involves inferential statistics, you will receive 8 points. {1 pt. BONUS) e) Explain why the results in parts to) and c) are consistent with each other. Additional Problems: 10.15 {p.4T2), 10.1? [p.4T2], 10.19.111.472}, 10.21 {p.4T3), 10.23 {p.473}, 10.53 (1340?), 10.73 (p.497), 10.?9 (p.498)