The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. Observation 1 2 3 5 6 5 A 793.9 793.1 790.6 794.4 791.7 791.5 800.7 793.0 795.7 790.5 795.2 788.1 (a) Why are these matched-pairs data? ILL O A. The same round was fired in every trial. O B. The measurements (A and B) are taken by the same instrument. O C. All the measurements came from rounds fired from the same gun. ence O D. Two measurements (A and B) are taken on the same round. 11:5 11:5 The reason why those data are round 6:44 (b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the a = 0.01 level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are (2.57 approximately normaly distributed with no outlors. ed per ect you (c) Construct a 99% confidence interval about the population mean difference. Interpret your results. dj Draw a boxplot of the differenced data. Does this visual evidence, support the results obtained in part (b)