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 |
4 |
5 |
6 |
|
---|---|---|---|---|---|---|---|
A |
793.2793.2 |
791.3791.3 |
791.3791.3 |
792.4792.4 |
790.8790.8 |
792.1792.1 |
|
B |
801.6801.6 |
791.1791.1 |
798.5798.5 |
787.7787.7 |
795.2795.2 |
789.5789.5 |
(b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the α=0.01 level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Let d=A−B
Identify the null and alternative hypotheses.
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