b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the a = 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 d, = A -B. Identify the null and alternative hypotheses. Ho: Ha H1: Ha
b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the a = 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 d, = A -B. Identify the null and alternative hypotheses. Ho: Ha H1: Ha
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Table of Critical t-Values
Area in
right tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1.000
0.816
0.765
1.376
1.061
0.978
0.941
1.963
1.386
1.250
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7453
5.598
4.773
318.309 636.619
22.327
10.215
7173
5.893
31.599
12.924
0.741
0.727
1.190
1.156
8.610
6.869
0.920
0.906
0.896
0.889
0.883
0.879
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
5.959
5.408
5.041
2.612
2.517
3.143
0.718
0.711
0.706
0.703
0.700
1.134
1.119
1.108
1.100
1.093
2.449
2.398
2.359
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.297
4.144
4.781
4.587
10
11
12
13
14
15
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
0.868
0.866
4.140
1.341
4.073
0.865
0.863
0.862
1.337
1.333
1.330
1.328
1.325
2.120
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
3.252
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
1.071
1.069
1.067
1.066
1.064
1.746
1.740
1.734
1.729
1.725
2.110
2.101
2.093
2.921
2.898
2.878
2.861
2.845
3.222
3.197
3.174
3.153
0.861
0.860
2.086
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
3.527
3.505
3.485
3.467
3.450
1.323
1.321
2.080
21
22
23
24
25
1.063
1.061
1.060
1.059
1.058
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
3.819
3.792
3.768
3.745
3.725
1.315
1.314
1.313
1.311
1.706
1.703
1.701
1.699
2.162
2.158
2.154
2.150
3.067
3.057
3.047
3.038
0.856
0.855
1.058
1.057
1.056
1.055
2.056
2.052
2.048
2.045
2.779
2.771
2.763
2.756
26
27
3.435
3.421
0.684
0.684
0.683
0.683
2.479
2.473
2.467
2.462
3.707
3.690
3.674
3.659
0.855
0.854
28
3.408
3.396
29
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
1
2
4
5
6.
A
792.9
793.7
794.6
792.7
794.4
792.6
В
800.2
791.6
796.2
789.2
799.8
791.7
Click the icon to view the table of critical t-values.
a) Why are these matched-pairs data?
A. The same round was fired in every trial.
B. Two measurements (A and B) are taken on the same round.
C. All the measurements came from rounds fired from the same gun
D. The measurements (A and B) are taken by the same instrument.
b) Is there a difference in the measurement of the muzzle velocity between device A and device B at the a = 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 d; = A; - B,. Identify the null and alternative hypotheses.
Ho: Hd
H1: Hd
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