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	Open in StatCrunch + Copy to Clipboard + Open in Excel +
A	790.5790.5	793.9793.9	793.5793.5	790.7790.7	792.7792.7	794.3794.3
B	796.9796.9	792.0792.0	800.8800.8	789.6789.6	795.6795.6	792.8792.8

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

A.

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

B.

The same round was fired in every trial.

C.

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

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

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=

0 0

Upper H 1H1​:

mu Subscript dμd

not equals≠

0 0

Determine the test statistic for this hypothesis test.

t0equals=negative 1.20−1.20

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

Find the​ P-value.

​P-valueequals=0.285 0.285

​(Round to three decimal places as​ needed.)What is your conclusion regarding

Upper H 0H0​?

Do not reject

Upper H 0H0.

There

is not

sufficient evidence at the

alphaαequals=0.010.01

level of significance to conclude that there is a difference in the measurements of velocity between device A and device B.

​(c) Construct a​ 99% confidence interval about the population mean difference. Compute the difference as device A minus device B. Interpret your results.

The lower bound is ?

The Upper Bound is?

What is the lower and Upper bound

The upper bound is

nothing .

​(Round to two decimal places as​ needed.

Answer 1

a) ans-> D) Two measurements​ (A and​ B) are taken on the same round.

c)