(a) Find the t-value such that the area in the right tail is 0.20 with 15 degrees of freedom. (Round to three decimal places as needed.)
(a) Find the t-value such that the area in the right tail is 0.20 with 15 degrees of freedom. (Round to three decimal places as needed.)
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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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 0.20 with 15 degrees of freedom.
(Round to three decimal places as needed.)
Transcribed Image Text:0.727
0.920
1.156
1.476
2.015
2.571
2.757
3.365
4,032
4.773
5.893
6.869
6.
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
1.134
1.119
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
2.612
2.517
1.108
1.100
1.093
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
5.959
5.408
5.041
4.781
4.587
10
Area in
3.169
4.144
11
12
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
1.088
1.083
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
right tail
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
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
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
13
1.079
14
15
1.076
2.264
4.140
0.866
1.074
2.249
3.286
4.073
Table VI
16
0.690
0.865
0.863
0.862
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
2.093
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
17
18
19
20
0.689
0.688
0.688
0.687
4.015
3.965
3.922
3.883
3.850
t-Distribution
3.646
3.610
3.579
3.552
Area in Right Tail
0.861
1.066
0.15
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
0.860
1.064
df
0.25
0.20
0.10
21
0.686
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.323
1.321
1.319
1.721
636.619
31.599
12.924
8.610
6.869
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
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
2.831
2.819
3.135
3.119
3.104
3.527
3.505
3.485
3.467
3.819
3.792
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
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
1.000
1
0.816
0.765
1.376
1.061
0.978
0.941
0.920
22
0.686
1.717
2.
23
0.685
1.714
3.
0.741
0.727
2.807
2.797
2.787
3.768
3.745
3.725
24
0.685
1.318
1.711
3.091
25
0.684
1.058
1.316
1.708
3.078
3.450
5.208 . 5.959
4.785
4.501
4.297
4.144
26
0.684
0.856
0.855
0.855
0.854
1.058
1.057
1.056
1.055
1.055
1.315
3.707
3.499
3.355
3.250
3.169
1.706
1.703
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
4.317
4.029
3.833
3.690
3.581
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
3.707
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
0.718
6.
0.711
8.
0.906
0.896
0.889
0.883
0.879
5.408
5.041
4.781
4.587
27
28
29
0.684
1.314
1.313
1.311
1.310
3.690
3.674
3.659
0.683
0.706
0.703
0.700
1.701
1.699
1.697
0,683
30
0.683
0.854
10
3.646
4.437
4.318
4.221
4.140
4.073
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
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
31
32
33
34
0.682
0.682
0.682
0.682
0.682
0.853
0.853
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
1.054
1.309
1.309
1.308
1.307
1.696
0.876
0.873
0.870
0.868
0.866
1.363
1.356
1.350
1.345
1.341
2.040
2.037
2.035
2.032
2.030
2.144
1.088
1.083
1.079
1.076
1.074
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.022
0.697
0.695
0.694
0.692
0.691
3.375
3.365
11
12
13
14
15
1.054
1.053
1.052
1.052
3.633
3.622
3.611
3.601
3.591
1.694
0.853
0.852
0.852
1.692
1.691
1.690
2.141
2.138
2.136
2.133
3.015
3.008
3.002
2.996
3.356
3.348
3.340
2.131
35
1.306
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
4.015
3.965
3.922
3.883
3.850
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.235
2.224
2.214
2.205
2.197
1.746
2.120
2.110
2.101
2.093
1.337
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
0.690
36
0.681
16
17
18
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.431
2.429
2.426
2.423
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
1.333 1.740
1.734
37
0.689
0.688
0.688
20
1.330
1.328 1.729
1.725
0.681
0.681
0.681
38
19
39
0.687
1.325
2.086
40
0.681
21
22
23
24
25
0.686
0.686
0.685
0.685
0.684
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
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
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
50
60
70
80
90
0.679
0.679
0.678
0.678
0.677
0.849
0.848
0.847
0.846
0.846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.676
1.671
1.667
2.009
2.000
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.678
2.660
2.648
2.639
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
1.318
1.316
1.994
1.990
1.987
3.435
3.416
3.402
2.060
1.664
3.707
3.690
3.674
3.659
1.291
1.662
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
2.368
2.632
26
27
28
29
0.684
0.684
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
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
0.677
0.675
0.674
1.042
1.037
1.036
100
0.845
0.842
0.842
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
3.291
000
3.646
30
2.453
2.449
3.022
3.015
3.375
3.365
3.633
3.622
2.144
2.744
ir
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
0.853
0.853
1.054
1.054
1.309
1.309
1.696
1.694
2.040
2.037
0.682
31
32
2.141
2.738
0.682
Area in Right Tail
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