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 ▼
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 ▼
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 10P
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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?
The same round was fired in every trial.
All the measurements came from rounds fired from the same gun.
The measurements (A and B) are taken by the same instrument.
Two measurements (A and B) are taken on the same round.
(b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the
normally distributed with no outliers.
α=0.01
level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately Let
di=Ai−Bi.
Identify the null and alternative hypotheses.H0:
μd
nothing
▼
H1:
μd
nothing
▼
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