A student wants to test whether a modification to a machine will improve its efficiency. The student takes ten measurements without the modification (case A), and ten measurements with the modification (case B). The data are provided below: data # 3 9 10 XA 85.3 86.0 84.4 85.6 85.1 84.8 85.7 84.6. 86.2 85.6 XB 85.5 86.3 86.6 86.8 85.4 85.5 85.9 85.1 86.5 86.3 a) Perform a paired samples hypothesis test as discussed in class. To what confidence level (in percent) can they state that the modification has improved the machine efficiency? b) When writing journal articles, it is common to report the p-value for comparisons like this. In this situation, for example, the student would write in their journal article something like this: "The modification was shown to increase the average machine efficiency from % to % (p-value = )." Re-write this sentence in your solution, filling in the blanks.