Question

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	793.7793.7	790.5790.5	793.7793.7	791.4791.4	792.6792.6	791.7791.7
B	801.8801.8	788.2788.2	796.6796.6	787.9787.9	798.7798.7	788.0788.0

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Click the icon to view the table of critical​ t-values.

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

A.

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

Your answer is correct.

B.

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

C.

The same round was fired in every trial.

D.

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

​b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the

alpha equals 0.01α=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

diequals=Aiminus−Bi.

Identify the null and alternative hypotheses.

Upper H 0H0​:

mu Subscript dμd

equals=

00

Upper H 1H1​:

mu Subscript dμd

not equals≠

00

Determine the test statistic for this hypothesis test.

t0equals=negative 0.60−0.60

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

Find the critical​ value(s) for this hypothesis test.

Answer 1