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The following data represent the muzzle velocity​ (in feet per​ second) of rounds fired from a​...

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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