- 2.093 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom. | (Round to three decimal places as needed.)

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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Question #9

Answer part D only!!

-Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
63.657
9.925
1.376
1.061
0.978
0.941
1.963
1.386
31.821
6.965
4.541
3.747
3.365
636.619
31.599
12.924
8.610
6.869
1
1.000
3.078
1.886
1.638
1.533
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
127.321
318.309
22.327
0.816
14.089
3
0.765
1.250
5.841
7.453
0.741
0.727
1.190
1.156
4.604
4.032
5.598
4.773
10.215
7.173
5.893
5
0.920
1.476
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.943
1.895
1.860
1.833
1.812
3.143
2.998
2.896
2.821
2.764
6
0.718
0.711
0.706
9
2.447
2.365
2.306
2.262
2.228
2.612
2.517
3.707
3.499
4.317
4.029
3.833
3.690
5.208
4.785
4.501
4.297
4.144
5.959
5.408
7
1.415
1.397
1.383
3.355
3.250
3.169
8
2.449
5.041
0.703
0.700
2.398
2.359
4.781
4.587
10
1.372
3.581
0.697
0.695
2.718
2.681
3.106
3.055
11
12
13
2.328
2.303
2.282
2.264
2.249
4.025
3.930
3.852
3.787
3.733
0.876
1.088
1.363
1.796
2.201
3.497
4.437
0.873
0.870
1.083
1.079
1.076
1.356
1.350
1.345
1.341
1.782
1.771
1.761
1.753
2.179
2.160
2.145
2.131
3.428
3.372
3.326
3.286
4.318
0.694
2.650
3.012
4.221
2.977
2.947
14
0.692
0.691
2.624
2.602
0.868
4.140
15
0.866
1.074
4.073
1.337
1.333
1.330
1.328
1.325
3.252
3.222
3.197
3.174
3.153
1.071
1.069
1.746
1.740
1.734
1.729
1.725
2.921
2.898
2.878
2.861
2.845
0.690
0.865
0.863
0.862
0.861
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
3.686
3.646
3.610
3.579
3.552
16
2.235
4.015
17
2.224
2.214
2.205
2.197
3.965
3.922
3.883
3.850
0.689
0.688
0.688
0.687
18
1.067
19
1.066
20
0.860
1.064
0.686
0.686
0.685
0.859
0.858
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
2.080
2.074
1.721
1.717
1.714
1.711
1.708
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
21
22
23
0.858
2.069
24
25
0.685
0.684
0,857
0.856
2.064
2.060
1.059
1.058
26
27
28
29
30
0.856
0.855
0.855
0.854
0.854
1.315
1.314
1.313
1.311
1.310
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
0.684
1.058
1.706
3.707
0.684
0.683
0.683
0.683
1.057
1.056
1.055
1.055
1.703
1.701
1.699
1.697
3.690
3.674
3.659
3.646
0.853
0.853
0.853
0.852
0.852
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.375
3.365
3.356
3.348
3.340
31
32
33
34
35
0.682
0.682
0.682
0.682
0.682
1.054
1.054
1.053
1.052
1.052
2.144
2.141
2.138
2.136
2.133
3.022
3.015
3.008
3.002
2.996
3.633
3.622
3.611
3.601
3.591
1.688
1.687
1.686
0.681
1.052
2.131
2.129
2.127
36
0.852
2.434
1.306
1.305
1.304
1.304
1.303
2.028
2.026
2.024
2.023
2.021
2.719
2.715
2.712
2.708
2.990
2.985
2.980
2.976
3.333
3.326
3.319
3.313
3.307
3.582
37
38
1.051
2.431
2.429
0.681
0.851
3.574
0.681
0.681
0.681
1.051
0.851
0.851 1.050
0.851
2.125
2.123
2.426
2.423
3.566
3.558
3.551
39
1.685
1.050
1.684
2.704
2.971
0.679
0.679
0.678
0.849
0.848
1.047
1.045
1.044
1.043
1.299
1.296
1.676
1.671
1.667
1.664
2.009
2.000
1.994
1.990
2.403
2.390
2.381
2.374
2.678
2.660
2.648
2.639
50
2.109
2.099
2.093
2.088
2.937
2.915
2.899
2.887
3.261
3.232
3.211
3.195
3.496
3.460
3.435
3.416
60
0.847
0.846
70
1.294
80
0.678
1.292
Transcribed Image Text:-Area in right tail Table VI t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 63.657 9.925 1.376 1.061 0.978 0.941 1.963 1.386 31.821 6.965 4.541 3.747 3.365 636.619 31.599 12.924 8.610 6.869 1 1.000 3.078 1.886 1.638 1.533 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 2.757 127.321 318.309 22.327 0.816 14.089 3 0.765 1.250 5.841 7.453 0.741 0.727 1.190 1.156 4.604 4.032 5.598 4.773 10.215 7.173 5.893 5 0.920 1.476 0.906 0.896 0.889 0.883 0.879 1.134 1.119 1.108 1.100 1.093 1.440 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 2.764 6 0.718 0.711 0.706 9 2.447 2.365 2.306 2.262 2.228 2.612 2.517 3.707 3.499 4.317 4.029 3.833 3.690 5.208 4.785 4.501 4.297 4.144 5.959 5.408 7 1.415 1.397 1.383 3.355 3.250 3.169 8 2.449 5.041 0.703 0.700 2.398 2.359 4.781 4.587 10 1.372 3.581 0.697 0.695 2.718 2.681 3.106 3.055 11 12 13 2.328 2.303 2.282 2.264 2.249 4.025 3.930 3.852 3.787 3.733 0.876 1.088 1.363 1.796 2.201 3.497 4.437 0.873 0.870 1.083 1.079 1.076 1.356 1.350 1.345 1.341 1.782 1.771 1.761 1.753 2.179 2.160 2.145 2.131 3.428 3.372 3.326 3.286 4.318 0.694 2.650 3.012 4.221 2.977 2.947 14 0.692 0.691 2.624 2.602 0.868 4.140 15 0.866 1.074 4.073 1.337 1.333 1.330 1.328 1.325 3.252 3.222 3.197 3.174 3.153 1.071 1.069 1.746 1.740 1.734 1.729 1.725 2.921 2.898 2.878 2.861 2.845 0.690 0.865 0.863 0.862 0.861 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 3.686 3.646 3.610 3.579 3.552 16 2.235 4.015 17 2.224 2.214 2.205 2.197 3.965 3.922 3.883 3.850 0.689 0.688 0.688 0.687 18 1.067 19 1.066 20 0.860 1.064 0.686 0.686 0.685 0.859 0.858 1.063 1.061 1.060 1.323 1.321 1.319 1.318 1.316 2.080 2.074 1.721 1.717 1.714 1.711 1.708 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 21 22 23 0.858 2.069 24 25 0.685 0.684 0,857 0.856 2.064 2.060 1.059 1.058 26 27 28 29 30 0.856 0.855 0.855 0.854 0.854 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 0.684 1.058 1.706 3.707 0.684 0.683 0.683 0.683 1.057 1.056 1.055 1.055 1.703 1.701 1.699 1.697 3.690 3.674 3.659 3.646 0.853 0.853 0.853 0.852 0.852 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.375 3.365 3.356 3.348 3.340 31 32 33 34 35 0.682 0.682 0.682 0.682 0.682 1.054 1.054 1.053 1.052 1.052 2.144 2.141 2.138 2.136 2.133 3.022 3.015 3.008 3.002 2.996 3.633 3.622 3.611 3.601 3.591 1.688 1.687 1.686 0.681 1.052 2.131 2.129 2.127 36 0.852 2.434 1.306 1.305 1.304 1.304 1.303 2.028 2.026 2.024 2.023 2.021 2.719 2.715 2.712 2.708 2.990 2.985 2.980 2.976 3.333 3.326 3.319 3.313 3.307 3.582 37 38 1.051 2.431 2.429 0.681 0.851 3.574 0.681 0.681 0.681 1.051 0.851 0.851 1.050 0.851 2.125 2.123 2.426 2.423 3.566 3.558 3.551 39 1.685 1.050 1.684 2.704 2.971 0.679 0.679 0.678 0.849 0.848 1.047 1.045 1.044 1.043 1.299 1.296 1.676 1.671 1.667 1.664 2.009 2.000 1.994 1.990 2.403 2.390 2.381 2.374 2.678 2.660 2.648 2.639 50 2.109 2.099 2.093 2.088 2.937 2.915 2.899 2.887 3.261 3.232 3.211 3.195 3.496 3.460 3.435 3.416 60 0.847 0.846 70 1.294 80 0.678 1.292
Determine the t-value in each of the cases.
Click the icon to view the table of areas under the t-distribution.
.....
(a) Find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom.
2.921 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.02 with 13 degrees of freedom.
2.282 (Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.025 with 19 degrees of freedom. [Hint: Use symmetry.]
- 2.093 (Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom.
(Round to three decimal places as needed.)
Transcribed Image Text:Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. ..... (a) Find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom. 2.921 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 13 degrees of freedom. 2.282 (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.025 with 19 degrees of freedom. [Hint: Use symmetry.] - 2.093 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom. (Round to three decimal places as needed.)
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