st be met by the sample for this test? Select all that apply. size must be large. size is no more than 5% of the population size. g method results in an independent sample. es are normally distributed or the sample size is large. Area in vight ta g method results in a dependent sample. -Distril Area in R nt data Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.02 L000 0816 0.765 0.741 0.727 1.376 1.061 0.978 0.941 1963 1386 1.250 L190 L156 3.078 L886 1638 1.533 1476 6.314 2.920 2353 12.70 430 3.18 Height of Father, X Height of - Son, Y, 2132 2.015 2.77 2.57 0.920 L134 L119 LIO8 L100 2.4 236 2.30 2.26 2.22 2.20 2.17 2.16 2.14 2.13 0.718 0.711 0.706 0.703 0.700 1.943 0.906 0.806 1440 68.7 1415 1.397 1383 1372 73.6 0.89 1860 73.4 69.7 66.8 76.9 72.1 10 0.879 1093 1812 68.5 0.697 0.695 1.363 1356 1350 1345 1.341 1.796 1.782 1.71 1.761 1.753 0876 12 13 14 15 0873 0870 0.868 1.088 1O83 1079 L076 1074 69.2 70.4 73.2 67.6 0.694 0.692 0.691 73.9 67.5 O66 16 17 18 0.690 0.680 0.688 0688 0.687 0865 0863 0.862 L071 1060 1067 L066 1064 1.337 1333 1330 1328 1325 1.746 1.740 1.734 2.12 2.11 2.10 2.0 2.0 71.9 71.3 71.3 70.1 66.9 19 20 1.720 1.725 65.2 73.3 70.8 0.859 0.858 0.858 0.857 0.856 21 22 0.686 1063 1061 1060 1059 1.323 1321 1319 1318 1.721 1.717 1.714 1.711 1.708 2.08 2.07 2.0 2.0 2.0 67.7 64.1 0.686 0.685 0.685 0.684 69.3 4.4 LOS8 1316 0.684 0.856 1315 1.706 2.09 0684 1057 1314 209

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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Related questions
Topic Video
Question
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their
fathers? Use the a = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Click here to view the table of data.
Click here to view the table of critical t-values.
Table of critical values for Student's t-distribution
Which conditions must be met by the sample for this test? Select all that apply.
A. The sample size must be large.
B. The sample size is no more than 5% of the population size.
C. The sampling method results in an independent sample.
D. The differences are normally distributed or the sample size is large.
Area in
right tail
E. The sampling method results in a dependent sample.
t-Distribution
Area in Right Tail
i
Degrees of
Freedom
Table of height data
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
127.321
14.089
1.000
0.816
0.765
0.741
0.727
1.376
31.821
63.657
9.925
5.841
4.604
4.032
318.309 636.619
31.599
1
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
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
6.965
4.541
3.747
3.365
7.453
5.598
4.773
22.327
10.215
7173
5.893
12.924
8.610
6.869
Height of
Father, X¡
Height of
Son, Yi
5
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.943
1.895
0.718
0.711
0.706
0.703
0.700
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
5.959
5.408
5.041
4.781
4.587
3.143
0.906
0.896
0.889
0.883
0.879
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
7
2.998
2.896
2.821
2.764
68.7
73.6
1.860
1.833
1.812
73.4
76.9
1.383
69.7
72.1
10
1.372
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
1.088
1.083
1.079
1.076
1.074
2.328
2.303
2.282
1.796
11
12
13
14
15
1.363
1.356
1.350
1.345
1.341
2.201
2.179
2.160
2.145
2.131
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
4.437
4.318
4.221
4.140
4.073
66.8
68.5
1.782
1.771
1.761
1.753
69.2
70.4
73.2
73.9
2.264
3.787
3.733
2.249
67.6
67.5
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
71.9
71.3
71.3
70.1
66.9
65.2
0.861
0.860
73.3
70.8
1.323
1.321
1.319
1.318
2.080
2.074
2.069
2.064
2.060
3.135
3.119
3.104
3.091
3.078
0.859
21
22
23
24
25
0.686
0.686
0.685
0.685
1.063
1.061
1.060
1.059
1.058
1.721
1.717
1.714
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
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
67.7
64.1
0.858
0.858
0.857
0.856
69.3
64.4
1.711
1.708
0.684
1.316
0.684
0.684
0.683
0.683
0.856
0.855
0.855
0.854
1.058
1.057
1.056
1.055
1.315
1.314
1.313
1.311
2.056
2.052
2.048
2.045
2.162
2.158
2.154
2.150
2.779
2.771
2.763
2.756
3.435
3.707
26
27
28
29
1.706
1.703
1.701
2.479
2.473
2.467
2.462
3.067
3.057
3.047
3.038
3.421
3.408
3.396
3.690
3.674
3.659
Print
Done
1.699
Transcribed Image Text:To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click here to view the table of data. Click here to view the table of critical t-values. Table of critical values for Student's t-distribution Which conditions must be met by the sample for this test? Select all that apply. A. The sample size must be large. B. The sample size is no more than 5% of the population size. C. The sampling method results in an independent sample. D. The differences are normally distributed or the sample size is large. Area in right tail E. The sampling method results in a dependent sample. t-Distribution Area in Right Tail i Degrees of Freedom Table of height data 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 127.321 14.089 1.000 0.816 0.765 0.741 0.727 1.376 31.821 63.657 9.925 5.841 4.604 4.032 318.309 636.619 31.599 1 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 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 6.965 4.541 3.747 3.365 7.453 5.598 4.773 22.327 10.215 7173 5.893 12.924 8.610 6.869 Height of Father, X¡ Height of Son, Yi 5 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.943 1.895 0.718 0.711 0.706 0.703 0.700 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 5.959 5.408 5.041 4.781 4.587 3.143 0.906 0.896 0.889 0.883 0.879 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 7 2.998 2.896 2.821 2.764 68.7 73.6 1.860 1.833 1.812 73.4 76.9 1.383 69.7 72.1 10 1.372 0.697 0.695 0.694 0.692 0.691 0.876 0.873 0.870 0.868 0.866 1.088 1.083 1.079 1.076 1.074 2.328 2.303 2.282 1.796 11 12 13 14 15 1.363 1.356 1.350 1.345 1.341 2.201 2.179 2.160 2.145 2.131 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 4.437 4.318 4.221 4.140 4.073 66.8 68.5 1.782 1.771 1.761 1.753 69.2 70.4 73.2 73.9 2.264 3.787 3.733 2.249 67.6 67.5 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 71.9 71.3 71.3 70.1 66.9 65.2 0.861 0.860 73.3 70.8 1.323 1.321 1.319 1.318 2.080 2.074 2.069 2.064 2.060 3.135 3.119 3.104 3.091 3.078 0.859 21 22 23 24 25 0.686 0.686 0.685 0.685 1.063 1.061 1.060 1.059 1.058 1.721 1.717 1.714 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 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 67.7 64.1 0.858 0.858 0.857 0.856 69.3 64.4 1.711 1.708 0.684 1.316 0.684 0.684 0.683 0.683 0.856 0.855 0.855 0.854 1.058 1.057 1.056 1.055 1.315 1.314 1.313 1.311 2.056 2.052 2.048 2.045 2.162 2.158 2.154 2.150 2.779 2.771 2.763 2.756 3.435 3.707 26 27 28 29 1.706 1.703 1.701 2.479 2.473 2.467 2.462 3.067 3.057 3.047 3.038 3.421 3.408 3.396 3.690 3.674 3.659 Print Done 1.699
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