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


792.6


792.8


791.1


791.9


790.8


790.5




B


796.7


790.5


793.9


790.6


799.7


789.7









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







A.


The same round was fired in every trial.






B.


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






C.


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






D.


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


Your answer is correct.



​(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





nothing



H1​:

μd





nothing





Jun 02, 2022
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