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. 0.866 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.05 with 15 degrees of freedom. (Round to three decimal places as needed.)
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. 0.866 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.05 with 15 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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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.
0.866 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.05 with 15 degrees of freedom.
(Round to three decimal places as needed.)
Transcribed Image Text:0.127
0.920
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
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
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
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
5.959
S.408
5.041
4.781
4.587
0.718
6.
0.711
0.706
8.
0.703
Area in
right tail
9.
0.700
10
0.876
0.873
0.870
0.868
0.866
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
1.088
0.697
12
0.695
13
0.694
14
0.692
15
0.691
11
1.083
1.079
1.076
1.074
Table VI
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
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
t-Distribution
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.323
1.321
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
0.690
Area in Right Tail
16
0.689
17
0.688
0.688
18
dr
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
19
0.687
3.153
20
1.376
1.061
0.978
0.941
0.920
3.078
1.886
1.638
1.533
1.156 1.476
1.963
1.386
1.250
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
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
6.869
2.189
2.183
2.177
2.172
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
1.000
0.859
0.858
0.858
0.857
0.856
1.721
1.717
1.714
2.080
2.074
2.069
1.063
1.061
0.686
0.686
0.685
0.685
0.684
21
22
0.816
3.
0.765
1.319
1.318
1.316
23
1.060
4
0.741
0.727
1.190
1.059
1.058
2.064
2.060
1.711
24
25
1.708
2.167
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
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
3.707
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
3.435
3.421
3.408
3.396
3.385
6.
0.718
0.711
0.906
0.896
0.889
0.883
0.879
2.162
2.158
2.154
2.150
2.147
2.779
2.771
2.763
2.756
2.750
2.056
2.052
3.067
3.057
0.856
0.855
0.855
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
2.479
2.473
2.467
2.462
2.457
26
0.684
0.684
0.683
0.683
0.683
3.690
3.674
3.659
3.646
27
0.706
0.703
0.700
1.860
1.833
1.812
28
29
2.048
2.045
3.047
3.038
3.030
10
3.169
3.581
4.587
30
0.854
2.042
2.201
2.179
2.160
2.145
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
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
0.697
0.695
0.876
0.873
0.870
1.363
1.796
11
12
13
14
15
3.375
3.365
3.356
3.348
3.340
1.088
3.633
2.144
2.141
2.138
2.136
2.133
2.744
1.054
1.054
1.053
1.052
1.052
2.040
2.037
2.035
2.032
2.030
2.453
2.449
2.445
2.441
3.022
3.015
3.008
3.002
2.996
1.696
0.853
0.853
0.853
0.852
0.852
1.309
1.309
1.308
1.307
1.306
31
1.083
1.079
1.076
1.074
0.682
0.682
0.682
0.682
0.682
1.356
1.782
2.738
3.622
1.350
1.771
32
1.694
0.694
0.692
0.691
1.692
1.691
1.690
2.733
2.728
2.724
3.611
3.601
3.591
4.140
1.345 1.761
1.341
1.753
33
34
35
2.977
0.868
0.866
2.131
2.947
4.073
2.438
0.865
0.863
0.862
0.861
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
4.015
3.965
3.922
3.883
3.850
1.071
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
2.120
2.110
2.101
2.093
2.086
16
0.690
0.689
0.688
0.681
0.681
0.681
0.681
0.681
0.852
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
36
17
18
1.069
1.067
1.066
1.064
37
3.579
3.552
3.527
3.505
3.485
19
0.688
1.729
38
0.851
0.851
20
0.687
0.860
1.725
39
3.819
3.792
3.768
3.745
3.725
40
1.721
1.717
1.714
1.711
2.518
2.508
2.500
2.492
2.485
2.831
1.323
1.321
1.319
1.318
1.316
3.135
3.119
3.104
3.091
3.078
0.686
2.080
2.189
0.859
0.858
0.858
0.857
0.856
21
1.063
1.047
1.045
1.044
1.043
1.042
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.174
3.098
3.090
3.496
3.460
3.435
3.416
3.402
0.679
0.679
0.678
0.849
0.848
0.847
0.846
0.846
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2,009
2.000
1.061
2.074
2.183
2.819
50
60
70
80
90
22
0.686
2.069
2.807
0.685
24
1.060
1.059
1.058
2.177
2.172
2.167
23
3.467
1.994
0.685
25
2.064
2.797
1.990
1.987
2.060
2.787
3.450
0.678
0.677
0.684
1.708
3.707
3.690
3.674
3.659
3.646
2.479
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
1.058
1.057
3.435
3.421
26
0.684
27
0.684
28
0.683
0.856
0.855
0.855
0.854
1.315
1.314
1.313
1.706
1.703
1.701
1.699
2.056
2.052
2.048
2.045
2.162
2.158
2.154
2.150
2.147
0.845
0.842
1.042
1.037
1.036
1.290
1.282
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
3.390
3.300
2.473
100
0.677
1.660
2.467
2.462
2.457
3.408
3.396
3.385
1.646
1.645
000
1.056
1.055
1.055
0.675
0.674
3.291
29
0.683
1.311
0.842
1.282
30
0.683
0,854
1.310
1.697
2.042
ir
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
3.022
3.015
3.375
3.365
3.633
3.622
0.25
0.20
1.309
1.309
1.696
2.040
2.453
2449
31
0.682
0.853
1.054
2.144
2.744
32
0.682
0853
1.054
1.694
2037
2141
2.738
Area in Right Tail
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