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 2 3 Q A B 1 4 5 6 790.1 792.4 794.6 792.8 794.4 794.6 797.2 787.7 800.9 792.5 795.6 792.0 (a) Why are these matched-pairs data? O A. All the measurements came from rounds fired from the same gun. OB. The measurements (A and B) are taken by the same instrument. OC. Two measurements (A and B) are taken on the same round. OD. The same round was fired in every trial. (b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the x = 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 d₁=A₁-B₁. Identify the null and alternative hypotheses. Ho: Hd H₁: Hd Determine the test statistic for this hypothesis test. to= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) What is your conclusion regarding Ho? ... Ho. There sufficient evidence at the α = 0.01 level of significance to conclude that there is a difference in the measurements of velocity between device A and device B.
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 2 3 Q A B 1 4 5 6 790.1 792.4 794.6 792.8 794.4 794.6 797.2 787.7 800.9 792.5 795.6 792.0 (a) Why are these matched-pairs data? O A. All the measurements came from rounds fired from the same gun. OB. The measurements (A and B) are taken by the same instrument. OC. Two measurements (A and B) are taken on the same round. OD. The same round was fired in every trial. (b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the x = 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 d₁=A₁-B₁. Identify the null and alternative hypotheses. Ho: Hd H₁: Hd Determine the test statistic for this hypothesis test. to= (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.) What is your conclusion regarding Ho? ... Ho. There sufficient evidence at the α = 0.01 level of significance to conclude that there is a difference in the measurements of velocity between device A and device B.
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
Related questions
Question
5: How do you solve?
Transcribed Image Text: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
2
3
Q
A
B
1
4
5
6
790.1 792.4 794.6 792.8 794.4 794.6
797.2 787.7 800.9 792.5 795.6
792.0
(a) Why are these matched-pairs data?
O A. All the measurements came from rounds fired from the same gun.
OB. The measurements (A and B) are taken by the same instrument.
OC. Two measurements (A and B) are taken on the same round.
OD. The same round was fired in every trial.
(b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the x = 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 d₁=A₁-B₁. Identify the null and alternative hypotheses.
Ho: Hd V
H₁: Hd
Determine the test statistic for this hypothesis test.
to= (Round to two decimal places as needed.)
Find the P-value.
P-value=
(Round to three decimal places as needed.)
What is your conclusion regarding Ho?
...
Ho. There
sufficient evidence at the α = 0.01 level of significance to conclude that there is a difference in the measurements of velocity between device A and device B.
Transcribed Image Text:(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
(Round to two decimal places as needed.)
Interpret the confidence interval. Choose the correct answer below.
OA. One can be 99% confident that the mean difference in measurement is 0.01.
OB. One can be 99% confident that the mean difference in measurement is 0.
OC. One can be 1% confident that the mean difference in measurement lies in the interval found above.
OD. One can be 99% confident that the mean difference in measurement lies in the interval found above.
d) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part (b)?
O A.
O C.
-8
-8
-6 -4 -2
Differences
0
-6 -4 -2 0
Differences
2
2
4
4
6
Q
Q
Q
Q
Does this visual evidence support the results obtained in part (b)?
OB.
O D.
-8
-6
-4
-2 0 2
Differences
-8 -6 -4 -2 0
Differences
2
4
-
4
6
6
Q
Q
Q
Q
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL