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 0.10 with 5 degrees of freedom. (Round to three decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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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
1.376
1.963
3.078
1.886
6.314
12.706
4.303
3.182
15.894
31.821
63.657
127.321
1.000
0.816
0.765
318.309
22.327
636.619
31.599
12.924
1.061
0.978
0.941
0.920
1.386
2.920
4.849
6.965
9.925
14.089
2.353
2.132
2.015
4.541
5.841
3.
4
0.741
1.250
1.190
1.156
7.453
5.598
1.638
3.482
2.999
2.757
10.215
7.173
1.533
2.776
3.747
4.604
8.610
5
0.727
1.476
2.571
3.365
4.032
4.773
5.893
6.869
6.
0.718
7
0.711
0.906
0.896
2.447
2.365
2.612
2.517
3.143
2.998
3.707
3.499
4.317
4.029
3.833
5.208
4.785
1.134
1.440
1.943
5.959
1.119
1.415
1.895
5.408
8
0.706
9
0.703
0.889
1.108
1.100
1.397
1.383
1.372
1.860
2.306
2.262
2.228
2.449
2.398
2.896
2.821
2.764
3.355
3.250
4.501
4.297
4.144
5.041
4.781
0.883
1.833
3.690
10
0.700
0.879
1.093
1.812
2.359
3.169
3.581
4.587
0.697
2.328
2.303
4.025
3.930
3.852
3.787
4.437
4.318
11
0.876
1.088
1.083
1.079
1.076
1.363
1.796
1.782
1.771
1.761
2.201
2.718
3.106
3.497
0.695
0.694
0.692
12
0.873
1.356
2.179
2.681
3.055
3.012
3.428
13
14
0.870
0.868
1.350
2.160
2.282
2.264
2.650
2.624
3.372
4.221
1.345
2.145
2.977
3.326
4.140
15
0.691
0.866
1.074
1.341
1.753
2.131
2.249
2.602
2.947
3.286
3.733
4.073
1.337
1.333
0.690
0.689
0.688
0.688
0.687
1.746
1.740
1.734
1.729
1.725
0.865
1.071
1.069
1.067
16
2.120
2.235
2.224
2.214
2.583
2.921
2.898
3.252
3.686
2.110
2.101
3.222
3.197
4.015
3.965
3.922
3.646
17
18
0.863
0.862
0.861
0.860
1.330
1.328
1.325
2.567
2.552
2.539
2.878
2.861
2.845
3.610
19
1.066
2.093
2.205
3.174
3.579
3.883
20
1.064
2.086
2.197
2.528
3.153
3.552
3.850
21
0.686
0.686
0.859
1.063
1.323
1.721
2.080
2.189
2.518
2.831
3.135
3.527
3.505
3.485
3.819
22
0.858
1.061
1.321
1.717
1.714
2.074
2.069
2.183
2.508
2.500
2.492
2.485
2.819
3.119
3.792
23
0.685
0.858
1.060
1.319
2.177
2.807
3.104
3.768
24
0.685
0.857
1.059
1.318
1.711
2.064
2.060
2.172
2.797
3.091
3.467
3.745
25
0.684
0.856
1.058
1.316
1.708
2.167
2.787
3.078
3.450
3.725
26
0.684
0.856
3.707
1.058
1.057
1.315
1.706
1.703
1.701
2.056
2.162
2.479
2.779
3.067
3.435
27
0.684
0.855
1.314
2.052
2.158
2.473
2.771
3.057
3.421
3.690
0.683
0.683
0.683
1.313
2.154
2.150
2.147
2.467
28
29
30
0.855
0.854
0.854
1.056
1.055
1.055
2.048
2.045
2.042
2.763
2.756
2.750
3.047
3.038
3.030
3.408
3.396
3.385
3.674
3.659
3.646
1.311
1.699
2.462
1.310
1.697
2.457
0.682
0.682
0.682
31
0.853
1.054
1.054
1.309
1.696
1.694
2.040
2.453
2.744
3.022
3.375
2.144
2.141
3.633
3.622
32
0.853
1.309
2.037
2.449
2.738
3.015
3.365
2.035
33
34
0.853
0.852
0.852
1.053
1.052
1.052
1.308
1.307
1.306
1.692
1.691
2.138
2.136
2.133
2.445
2.441
2.438
2.733
2.728
3.008
3.002
3.356
3.348
3.340
3.611
3.601
3.591
0.682
2.032
35
0.682
1.690
2.030
2.724
2.996
2.028
2.026
2.024
2.023
2.021
2.434
2.431
2.429
2.426
3.582
3.574
3.566
3.558
3.551
3.333
3.326
36
0.681
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.306
1.688
2.131
2.129
2.127
2.125
2.719
2.715
2.712
2.708
2.704
2.990
2.985
37
0.681
1.305
1.687
38
39
40
0.681
0.681
1.051
1.304
1.686
2.980
2.976
2.971
3.319
3.313
3.307
1.050
1.304
1.685
0.681
1.050
1.303
1.684
2.123
2.423
50
60
0.679
0.679
1.676
1.671
2.009
2.000
0.849
1.047
1.045
1.299
1.296
1.294
2.109
2.099
2.093
2.088
2.403
2.390
2.381
2.374
2.678
2.660
2.937
3.261
3.496
3.460
0.848
2.915
3.232
70
80
90
0.678
0.847
1.044
1.667
1.994
2.648
2.639
2.632
2.899
2.887
2.878
3.211
3.195
3.183
3.435
1.990
1.987
0.678
1.292
1.291
3.416
0.846
0.846
1.043
1.042
1.664
1.662
0.677
2.084
2.368
3.402
100
0.677
0.675
0.674
0.845
1.042
1.290
1.282
1.282
1.660
1.984
1.962
1.960
2.081
2.364
2.626
2.871
3.174
3.390
1000
0.842
1.037
1.646
2.056
2.054
2.330
2.581
2.813
3.098
3.300
0.842
1.036
1.645
2.326
2.576
2.807
3.090
3.291
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
Transcribed Image Text: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 1.376 1.963 3.078 1.886 6.314 12.706 4.303 3.182 15.894 31.821 63.657 127.321 1.000 0.816 0.765 318.309 22.327 636.619 31.599 12.924 1.061 0.978 0.941 0.920 1.386 2.920 4.849 6.965 9.925 14.089 2.353 2.132 2.015 4.541 5.841 3. 4 0.741 1.250 1.190 1.156 7.453 5.598 1.638 3.482 2.999 2.757 10.215 7.173 1.533 2.776 3.747 4.604 8.610 5 0.727 1.476 2.571 3.365 4.032 4.773 5.893 6.869 6. 0.718 7 0.711 0.906 0.896 2.447 2.365 2.612 2.517 3.143 2.998 3.707 3.499 4.317 4.029 3.833 5.208 4.785 1.134 1.440 1.943 5.959 1.119 1.415 1.895 5.408 8 0.706 9 0.703 0.889 1.108 1.100 1.397 1.383 1.372 1.860 2.306 2.262 2.228 2.449 2.398 2.896 2.821 2.764 3.355 3.250 4.501 4.297 4.144 5.041 4.781 0.883 1.833 3.690 10 0.700 0.879 1.093 1.812 2.359 3.169 3.581 4.587 0.697 2.328 2.303 4.025 3.930 3.852 3.787 4.437 4.318 11 0.876 1.088 1.083 1.079 1.076 1.363 1.796 1.782 1.771 1.761 2.201 2.718 3.106 3.497 0.695 0.694 0.692 12 0.873 1.356 2.179 2.681 3.055 3.012 3.428 13 14 0.870 0.868 1.350 2.160 2.282 2.264 2.650 2.624 3.372 4.221 1.345 2.145 2.977 3.326 4.140 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 1.337 1.333 0.690 0.689 0.688 0.688 0.687 1.746 1.740 1.734 1.729 1.725 0.865 1.071 1.069 1.067 16 2.120 2.235 2.224 2.214 2.583 2.921 2.898 3.252 3.686 2.110 2.101 3.222 3.197 4.015 3.965 3.922 3.646 17 18 0.863 0.862 0.861 0.860 1.330 1.328 1.325 2.567 2.552 2.539 2.878 2.861 2.845 3.610 19 1.066 2.093 2.205 3.174 3.579 3.883 20 1.064 2.086 2.197 2.528 3.153 3.552 3.850 21 0.686 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.505 3.485 3.819 22 0.858 1.061 1.321 1.717 1.714 2.074 2.069 2.183 2.508 2.500 2.492 2.485 2.819 3.119 3.792 23 0.685 0.858 1.060 1.319 2.177 2.807 3.104 3.768 24 0.685 0.857 1.059 1.318 1.711 2.064 2.060 2.172 2.797 3.091 3.467 3.745 25 0.684 0.856 1.058 1.316 1.708 2.167 2.787 3.078 3.450 3.725 26 0.684 0.856 3.707 1.058 1.057 1.315 1.706 1.703 1.701 2.056 2.162 2.479 2.779 3.067 3.435 27 0.684 0.855 1.314 2.052 2.158 2.473 2.771 3.057 3.421 3.690 0.683 0.683 0.683 1.313 2.154 2.150 2.147 2.467 28 29 30 0.855 0.854 0.854 1.056 1.055 1.055 2.048 2.045 2.042 2.763 2.756 2.750 3.047 3.038 3.030 3.408 3.396 3.385 3.674 3.659 3.646 1.311 1.699 2.462 1.310 1.697 2.457 0.682 0.682 0.682 31 0.853 1.054 1.054 1.309 1.696 1.694 2.040 2.453 2.744 3.022 3.375 2.144 2.141 3.633 3.622 32 0.853 1.309 2.037 2.449 2.738 3.015 3.365 2.035 33 34 0.853 0.852 0.852 1.053 1.052 1.052 1.308 1.307 1.306 1.692 1.691 2.138 2.136 2.133 2.445 2.441 2.438 2.733 2.728 3.008 3.002 3.356 3.348 3.340 3.611 3.601 3.591 0.682 2.032 35 0.682 1.690 2.030 2.724 2.996 2.028 2.026 2.024 2.023 2.021 2.434 2.431 2.429 2.426 3.582 3.574 3.566 3.558 3.551 3.333 3.326 36 0.681 0.852 0.851 0.851 0.851 0.851 1.052 1.051 1.306 1.688 2.131 2.129 2.127 2.125 2.719 2.715 2.712 2.708 2.704 2.990 2.985 37 0.681 1.305 1.687 38 39 40 0.681 0.681 1.051 1.304 1.686 2.980 2.976 2.971 3.319 3.313 3.307 1.050 1.304 1.685 0.681 1.050 1.303 1.684 2.123 2.423 50 60 0.679 0.679 1.676 1.671 2.009 2.000 0.849 1.047 1.045 1.299 1.296 1.294 2.109 2.099 2.093 2.088 2.403 2.390 2.381 2.374 2.678 2.660 2.937 3.261 3.496 3.460 0.848 2.915 3.232 70 80 90 0.678 0.847 1.044 1.667 1.994 2.648 2.639 2.632 2.899 2.887 2.878 3.211 3.195 3.183 3.435 1.990 1.987 0.678 1.292 1.291 3.416 0.846 0.846 1.043 1.042 1.664 1.662 0.677 2.084 2.368 3.402 100 0.677 0.675 0.674 0.845 1.042 1.290 1.282 1.282 1.660 1.984 1.962 1.960 2.081 2.364 2.626 2.871 3.174 3.390 1000 0.842 1.037 1.646 2.056 2.054 2.330 2.581 2.813 3.098 3.300 0.842 1.036 1.645 2.326 2.576 2.807 3.090 3.291 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
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 0.10 with 5 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 0.10 with 5 degrees of freedom. (Round to three decimal places as needed.)
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