NW 7. Muzzle Velocity 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, with the following data obtained: Observation 2 3 4 5 6 A 793.8 793.1 792.4 794.0 791.4 792.4 er B 793.2 793.3 792.6 793.8 791.6 791.6 Observation 7 8 9 10 11 12 A 791.7 792.3 789.6 794.4 790.9 793.5 in B 791.6 792.4 788.5 794.7 791.3 793.5 om Source: Ronald Christenson and Larry Blackwood. " Tests for Precision and nd Accuracy of Multiple Measuring Devices." Technomerrics, 35(4):411-421, 1993. 1 to (a) Why are these matched-pairs data? er (b) Is there a difference in the measurement of the muzzle then velocity between device A and device B at the a = 0.01 level is a of significance? Note: A normal probability plot and boxplot ched of the data indicate that the differences are approximately normally distributed with no outliers. ing (c) Construct a 99% confidence interval about the population mean difference. Interpret your results. (d) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part (b)