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...





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


790.4


790.7


790.2


792.8


794.3


792.3




B


792.9


786.3


797.9


790.7


803.6


787.5









​(a) Why are these​ matched-pairs data?







A.


All the measurements came from rounds fired from the same gun.






B.


Two measurements​ (A and​ B) are taken on the same round.


Your answer is correct.




C.


The same round was fired in every trial.






D.


The measurements​ (A and​ B) are taken by the same instrument.





​(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
di=Ai−Bi.

Identify the null and alternative hypotheses.



H0​:

μd


equals=




00



H1​:

μd


not equals≠




00


Determine the test statistic for this hypothesis test.




t0=
(need this answser)

​(Round to two decimal places as​ needed.)




Jun 05, 2022
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