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 00025 0.001 0.0005 1.000 0816 0.765 0.741 0.727 1.376 1.061 0.978 3.078 1.886 1.638 1.533 1.476 12.706 15.894 4.303 4.849 3.482 3.182 2.776 2.999 2.757 2.571 1 1.963 1.386 1.250 6.314 2.920 2.353 2.132 2.015 31.821 63.657 127.321 318.309 636.619 14.089 7453 5.598 4.773 31.599 12.924 8.610 6.869 9.925 5.841 6.965 4.541 3.747 3.365 22.327 10.215 Z173 5.893 0.941 0.920 1.190 1.156 4.604 4.032 5 5.959 5.408 5.041 4.781 4.587 0.718 0.906 1.134 1.119 1.108 1.100 1.093 1.440 1.415 1.397 1.383 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 4.317 4.029 3.833 3.690 3.581 5.208 4.785 4.501 4.297 4.144 0.711 0.896 8 0.706 0.889 0.703 0.883 0.700 0.879 10 1.372 3.169 0.697 0.695 0.694 0.692 0.691 0.876 11 12 13 0.873 0.870 0.868 0.866 1.088 1.083 1.079 1.076 1.074 1.363 1.356 1.350 1.345 1.341 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 4.140 4.073 14 15 2.583 2.567 2.552 2.539 2.528 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 3.252 16 17 18 19 20 0.690 0.689 0.688 0.688 0.687 0.865 0.863 0.862 0.861 0.860 1.071 1.069 1.067 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 2.235 2.224 2.214 2.205 2.197 2.921 2.898 2.878 2.861 2.845 3.222 3.197 3.174 3.153 1.066 2.093 2.086 1.064 21 22 23 24 25 0.686 0.686 0.685 0.685 0.859 0.858 0.858 0.857 0.856 1.063 1.061 1.060 1.059 1.058 1.323 1.321 1.319 1.318 1.316 1.721 1.717 1.714 1.711 1.708 2.080 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 3.527 3.505 3.485 3.467 3.450 3.819 3.792 3.768 3.745 3.725 0.684 3.707 3.690 0.856 0.855 0.855 0.854 1.058 1.057 2.056 2.052 2.048 2.045 2.162 2.158 26 27 28 29 0.684 0.684 0.683 0.683 1.315 1.314 1.313 1.311 1.706 1.703 1.701 1.699 2.479 2.473 2.467 2.462 2.779 2.771 2.763 2.756 3.067 3.057 3.047 3.038 3.435 3.421 3.408 3.396 1.056 1.055 2.154 2.150 3.674 3.659 .234v

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

4

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
6.314
1.886 2.920
1.638 2.353
2.132
2.015
12.706 15.804
4.303 4849
3.182 3.482
127.321 318.309 636.619
14.080 22.327 31.500
7453
5.598
4.773
63.657
1.376
0.816 1.061
0.765
1.000
1.963
1.386
0.978 1.25o
3.078
31.821
6.965 0925
4.541 5841
3.747
10.215 12.924
0.741
0,041 1.100
1.533
2.776 2 00
4.604
7173
8,610
0,727
0.920 1.156 1.476
2.571 2.757 3.365
4.032
5,893
6,869
0.718 0.006 1.134 14
1.043
2.447 2.612
3.143
3.77
4.317
5.208
5.959
0.711
0.706 0,889 1.106
0,703
0.700
0 607
0 605
0 604
1.415
1.397
1.383
1,895
2.365
2.517
2.449
2.262 2.398
2.998
2.896
2.821
2.764
3.499
3.355
3.250
4.029
3.833
3.690
4.785
4.501
4.297
4.144
0,896 1.119
5.408
1.860
2.306
501
0,883 1.100
1,833
4.781
4,587
0.879 1.003
1.372
1.812
2.228 2.359
3.169
3.581
0876 108g
1 706
1 782
1.363
3 407
A427
2.201
2.179
2.160
2.145
2.131
2328
2718
3106
4.025
2.303
3.055
0,873 1.083 1.356
0.870 1.079 1.350
0 868 1076
2.681
3.428
3.372
3.930
3.852
3.787
3.733
4318
2,282
2.650
2.624
1.771
3.012
4.221
0.692
1.345
1.761
1.753
4.140
2.977
204
3.326
3,286
0.691
0.866 1.074
1.341
2.602
4.073
1337 1746
2.120
2.110
2.101
2.093
2.086
2.583
2021
3.686
3.646
3.610
3.579
3.552
4.015
O 863 1060
0,689
1.333
1.740
2.224
2.214
2.205
2.197
2.567
2552
2.896
3,222
3.197
3.965
0.68
0862 1.067
1330
1.734
2878
3.922
0.861 1.066
1.328
1.325
2539
1.729
1.725
2.861
2.845
3.174
3.153
3,883
3.850
0.68
0,68
0.860 1.064
2 528
1063
3810
1.323
1.321
1.721
1.717
1.714
2.080
2.074
2.069
2.518
2.506
2,500
2831
2.819
2.807
0686
0.859
3.135
3.527
0.858 1.061
3.119
3.104
3.505
3.485
0.686
3.792
0.685
0 858 106n
1319
3768
0,685
0.857 1.059
0.856 1.058
3.745
1.318
1.316
1.711
1.708
3.091
3.078
3.467
3.450
0684
2.060
2.787
3.725
0684
0.856
1.058
1315
1706
2.056
2470
3.707
2.779
2.771
3.067
0.684
0.683
3.435
3.421
3.408
0.855
1.057
1.056
1.314
1.313
1.311
1.703
1.701
3.057
3.047
3.690
3.674
0.855
2.048
2.467
2.763
0.08.
0.854
1.055
2.045
750
3.038
3.659
0.683
0.854
1.055
3.030
3.385
3.646
0.68
0.682
0.853
0.853
1.054
1.054
1.309
1.309
1.308
2.040
2.037
2.744
2.738
3.022
3.375
3.365
3.633
1.694
2.141
2.449
2.445
3015
3.622
0.682
0.853
1.053
2.03
2.138
2.733
3.006
3.356
3.611
3.002
2.996
2.72-
3.340
3.591
1.052
0.852
0.851
1.306
1.688
1.687
2.028
2.026
2.131
2.434
2.431
2.000
3.333
3.326
3.582
1.051
1.305
2.129
2.985
3.574
0.61
0.851
2.429
2.980
1.304
2.024
0.851
1303
1.684
2.021
2.704
2.971
3.551
1 551
3.30.
0.679
0.679
0,678 0,847 1.044
0,678 0,846 1.043
0.677 0.846 1.042
1.047
1.045
1.299
1.676
2.009
2.000
1.994
2.403
2.390
2.381
5374
2.368 2632
2.678
2.660
2.937
2.915
2.800
2 887
2.878
3.261
3.232
3.211
3.496
3.460
3.435
3.416
3402
0.849
0.848
1.671
1.294 1.667
1.292
1.296
2.093
2.088
2645
2620
1664
1.990
3.195
1.291
1,667
1.987
2.084
3.183
0.845 1.047
2626
100
1000
0677
1.290
1,660
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.871
2,813
2.807
3.174
0,675
0.674
1.282
1.282
2.581
2.57
3.098
3.000
3.390
3.300
3.201
0,842 1.037
1,646
1.645
2.330
2.326
0.842
1.036
Degrees of 0.25
Freedom
0.20
0.15
0.10
0.05
0.025
0.02
0.01 0.005
0.0025
0.001 0.0005
t-Distribution
Area in Right Tail
2.
I222
222
in
多E回 达品导 手:
2345 67890 =2Bは DS动 a234不 幻器为列 到卫鸡对器 新幻那別字品定尺完
Transcribed Image Text: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 6.314 1.886 2.920 1.638 2.353 2.132 2.015 12.706 15.804 4.303 4849 3.182 3.482 127.321 318.309 636.619 14.080 22.327 31.500 7453 5.598 4.773 63.657 1.376 0.816 1.061 0.765 1.000 1.963 1.386 0.978 1.25o 3.078 31.821 6.965 0925 4.541 5841 3.747 10.215 12.924 0.741 0,041 1.100 1.533 2.776 2 00 4.604 7173 8,610 0,727 0.920 1.156 1.476 2.571 2.757 3.365 4.032 5,893 6,869 0.718 0.006 1.134 14 1.043 2.447 2.612 3.143 3.77 4.317 5.208 5.959 0.711 0.706 0,889 1.106 0,703 0.700 0 607 0 605 0 604 1.415 1.397 1.383 1,895 2.365 2.517 2.449 2.262 2.398 2.998 2.896 2.821 2.764 3.499 3.355 3.250 4.029 3.833 3.690 4.785 4.501 4.297 4.144 0,896 1.119 5.408 1.860 2.306 501 0,883 1.100 1,833 4.781 4,587 0.879 1.003 1.372 1.812 2.228 2.359 3.169 3.581 0876 108g 1 706 1 782 1.363 3 407 A427 2.201 2.179 2.160 2.145 2.131 2328 2718 3106 4.025 2.303 3.055 0,873 1.083 1.356 0.870 1.079 1.350 0 868 1076 2.681 3.428 3.372 3.930 3.852 3.787 3.733 4318 2,282 2.650 2.624 1.771 3.012 4.221 0.692 1.345 1.761 1.753 4.140 2.977 204 3.326 3,286 0.691 0.866 1.074 1.341 2.602 4.073 1337 1746 2.120 2.110 2.101 2.093 2.086 2.583 2021 3.686 3.646 3.610 3.579 3.552 4.015 O 863 1060 0,689 1.333 1.740 2.224 2.214 2.205 2.197 2.567 2552 2.896 3,222 3.197 3.965 0.68 0862 1.067 1330 1.734 2878 3.922 0.861 1.066 1.328 1.325 2539 1.729 1.725 2.861 2.845 3.174 3.153 3,883 3.850 0.68 0,68 0.860 1.064 2 528 1063 3810 1.323 1.321 1.721 1.717 1.714 2.080 2.074 2.069 2.518 2.506 2,500 2831 2.819 2.807 0686 0.859 3.135 3.527 0.858 1.061 3.119 3.104 3.505 3.485 0.686 3.792 0.685 0 858 106n 1319 3768 0,685 0.857 1.059 0.856 1.058 3.745 1.318 1.316 1.711 1.708 3.091 3.078 3.467 3.450 0684 2.060 2.787 3.725 0684 0.856 1.058 1315 1706 2.056 2470 3.707 2.779 2.771 3.067 0.684 0.683 3.435 3.421 3.408 0.855 1.057 1.056 1.314 1.313 1.311 1.703 1.701 3.057 3.047 3.690 3.674 0.855 2.048 2.467 2.763 0.08. 0.854 1.055 2.045 750 3.038 3.659 0.683 0.854 1.055 3.030 3.385 3.646 0.68 0.682 0.853 0.853 1.054 1.054 1.309 1.309 1.308 2.040 2.037 2.744 2.738 3.022 3.375 3.365 3.633 1.694 2.141 2.449 2.445 3015 3.622 0.682 0.853 1.053 2.03 2.138 2.733 3.006 3.356 3.611 3.002 2.996 2.72- 3.340 3.591 1.052 0.852 0.851 1.306 1.688 1.687 2.028 2.026 2.131 2.434 2.431 2.000 3.333 3.326 3.582 1.051 1.305 2.129 2.985 3.574 0.61 0.851 2.429 2.980 1.304 2.024 0.851 1303 1.684 2.021 2.704 2.971 3.551 1 551 3.30. 0.679 0.679 0,678 0,847 1.044 0,678 0,846 1.043 0.677 0.846 1.042 1.047 1.045 1.299 1.676 2.009 2.000 1.994 2.403 2.390 2.381 5374 2.368 2632 2.678 2.660 2.937 2.915 2.800 2 887 2.878 3.261 3.232 3.211 3.496 3.460 3.435 3.416 3402 0.849 0.848 1.671 1.294 1.667 1.292 1.296 2.093 2.088 2645 2620 1664 1.990 3.195 1.291 1,667 1.987 2.084 3.183 0.845 1.047 2626 100 1000 0677 1.290 1,660 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.871 2,813 2.807 3.174 0,675 0.674 1.282 1.282 2.581 2.57 3.098 3.000 3.390 3.300 3.201 0,842 1.037 1,646 1.645 2.330 2.326 0.842 1.036 Degrees of 0.25 Freedom 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 t-Distribution Area in Right Tail 2. I222 222 in 多E回 达品导 手: 2345 67890 =2Bは DS动 a234不 幻器为列 到卫鸡对器 新幻那別字品定尺完
One year, the mean age of an inmate on death row was 38.2 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is
37.3, with a standard deviation of 9.1. Construct a 95% confidence interval about the mean age. What does the interval imply?
E Click the icon to view the table of critical t-values.
Choose the correct hypotheses.
Họ:
H1:
(Type integers or decimals. Do not round.)
Construct a 95% confidence interval about the mean age.
With 95% confidence, the mean age of a death row inmate is between
years and
years. (Round to two decimal places as needed.)
What does the interval imply?
A. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
B. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
C. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
D. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
Transcribed Image Text:One year, the mean age of an inmate on death row was 38.2 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.3, with a standard deviation of 9.1. Construct a 95% confidence interval about the mean age. What does the interval imply? E Click the icon to view the table of critical t-values. Choose the correct hypotheses. Họ: H1: (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between years and years. (Round to two decimal places as needed.) What does the interval imply? A. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. C. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. D. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
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