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.) (b) Find the t-value such that the area in the right tail is 0.25 with 22 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.005 with 26 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 14 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. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.25 with 22 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.005 with 26 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 14 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
Related questions
Question
9
![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.)
(b) Find the t-value such that the area in the right tail is 0.25 with 22 degrees of freedom.
(Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.005 with 26 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 90% confidence. Assume 14 degrees of freedom.
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a7eacd3-5c5d-404e-9a48-acaaddd995ae%2F772fb1d4-56a0-4975-83fe-3c9de1fc347c%2Fvxo48s_processed.png&w=3840&q=75)
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.)
(b) Find the t-value such that the area in the right tail is 0.25 with 22 degrees of freedom.
(Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.005 with 26 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 90% confidence. Assume 14 degrees of freedom.
(Round to three decimal places as needed.)
![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
5.841
4.604
4.032
3.078
1.886
1
0.816
3
6.314
2.920
2.353
2.132
2.015
15.894
4.849
3.482
2.999
2.757
636.619
31.599
12.924
8.610
6.869
1.963
1.386
12.706
4.303
3.182
2.776
2.571
31.821
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
1.000
1.376
2
1.061
6.965
0.765
0.741
0.727
1.250
1.190
4.541
3.747
3.365
0.978
1.638
0.941
0.920
1.533
1.476
1.156
2.447
2.365
1.134
1.943
1.895
1.860
1,833
2.612
2.517
3.143
2.998
2.896
2.821
2.764
4.317
4.029
3.833
3.690
5.208
4.785
4.501
4.297
5.959
0.718
6
0.711
0.906
0.896
0.889
0.883
3.707
3.499
3.355
3.250
3.169
1.440
1.119
1.108
1.100
7
1.415
1.397
1.383
1.372
5.408
2.306
2.262
2.228
8
0.706
2.449
5.041
9
0.703
2.398
4.781
10
0.700
0.879
1.093
1.812
2.359
3.581
4.144
4.587
2.201
2.179
2.160
2.145
2.131
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
11
1.088
1.363
1.356
1.350
1.345
1.341
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
0.697
0.876
1.796
0.873
0.870
12
1.083
0.695
0.694
1.782
13
1.079
1.771
4.221
0.692
0.691
0.868
0.866
14
1.076
1.761
1.753
4.140
15
1.074
4.073
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
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
16
0.690
0.865
0.863
0.862
1.071
2.583
2.567
2.552
2.539
2.528
2.921
1.069
1.067
1.066
1.064
2.898
2.878
2.861
2.845
4.015
3.965
3.922
3.883
3.850
17
0.689
0.688
0.688
0.687
18
19
0.861
0.860
20
2.197
3.552
0.686
0.686
0.685
0.859
0.858
0.858
0.857
0.856
1.721
1.717
1.714
1.711
1.708
3.527
3.505
3.485
3.467
3.450
1.063
1.061
2.080
2.074
2.069
2.064
2.060
2.189
2.183
3.135
3.119
3.104
3.091
3.078
21
1.323
2.518
2.831
3.819
1.321
1.319
1.318
1.316
2.508
2.500
2.492
2.485
2.819
2.807
2.797
2.787
22
3.792
1.060
1.059
1.058
23
2.177
24
25
2.172
2.167
3.768
3.745
3.725
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
2.056
2.052
2.048
2.045
2.042
2.779
2.771
2.763
2.756
2.750
3.707
3.690
3.674
3.659
3.646
1.058
1.315
1.706
1.703
1.701
1.699
1.697
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
26
1.057
27
28
29
30
1.314
1.313
1.055 1.311
1.055
1.056
1.310
0.682
0.682
0.682
0.853
0.853
0.853
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.744
2.738
2.733
2.728
2.724
31
2.040
2.144
2.453
2.449
2.445
2.441
2.438
3.022
32
33
34
35
2.037
2.035
2.032
2.030
2.141
2.138
2.136
2.133
3.375
3.365
3.356
3.348
3.633
3.622
3.611
3.601
3.591
3.015
3.008
0.852
0.852
3.002
2.996
0.682
0.682
3.340
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
2.028
2.026
2.024
2.719
2.715
2.712
36
0.681
0.681
0.681
0.681
1.688
2.131
2.434
2.431
2.429
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
37
38
1.687
2.129
1.686
1.685
1.684
2.127
2.125
2.123
39
0.851
2.023
2.426
2.708
40
0.681
0.851
2.021
2.423
2.704
1.047
1.045
0.679
0.679
0.678
0.678
1.676
1.671
1.667
1.664
0.849
1.299
1.296
2.403
2.390
2.381
2.374
2.937
2.915
2.899
2.887
3.496
3.460
3.435
3.416
50
2.009
2.109
2.678
2.660
2.648
2.639
3.261
3.232
3.211
3.195
60
2.000
1.994
1.990
2.099
2.093
2.088
0.848
0.847
0.846
70
1.044
1.043
1.294
80
1.292](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a7eacd3-5c5d-404e-9a48-acaaddd995ae%2F772fb1d4-56a0-4975-83fe-3c9de1fc347c%2Ftfq1n24_processed.png&w=3840&q=75)
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
5.841
4.604
4.032
3.078
1.886
1
0.816
3
6.314
2.920
2.353
2.132
2.015
15.894
4.849
3.482
2.999
2.757
636.619
31.599
12.924
8.610
6.869
1.963
1.386
12.706
4.303
3.182
2.776
2.571
31.821
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
1.000
1.376
2
1.061
6.965
0.765
0.741
0.727
1.250
1.190
4.541
3.747
3.365
0.978
1.638
0.941
0.920
1.533
1.476
1.156
2.447
2.365
1.134
1.943
1.895
1.860
1,833
2.612
2.517
3.143
2.998
2.896
2.821
2.764
4.317
4.029
3.833
3.690
5.208
4.785
4.501
4.297
5.959
0.718
6
0.711
0.906
0.896
0.889
0.883
3.707
3.499
3.355
3.250
3.169
1.440
1.119
1.108
1.100
7
1.415
1.397
1.383
1.372
5.408
2.306
2.262
2.228
8
0.706
2.449
5.041
9
0.703
2.398
4.781
10
0.700
0.879
1.093
1.812
2.359
3.581
4.144
4.587
2.201
2.179
2.160
2.145
2.131
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
11
1.088
1.363
1.356
1.350
1.345
1.341
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
0.697
0.876
1.796
0.873
0.870
12
1.083
0.695
0.694
1.782
13
1.079
1.771
4.221
0.692
0.691
0.868
0.866
14
1.076
1.761
1.753
4.140
15
1.074
4.073
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
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
16
0.690
0.865
0.863
0.862
1.071
2.583
2.567
2.552
2.539
2.528
2.921
1.069
1.067
1.066
1.064
2.898
2.878
2.861
2.845
4.015
3.965
3.922
3.883
3.850
17
0.689
0.688
0.688
0.687
18
19
0.861
0.860
20
2.197
3.552
0.686
0.686
0.685
0.859
0.858
0.858
0.857
0.856
1.721
1.717
1.714
1.711
1.708
3.527
3.505
3.485
3.467
3.450
1.063
1.061
2.080
2.074
2.069
2.064
2.060
2.189
2.183
3.135
3.119
3.104
3.091
3.078
21
1.323
2.518
2.831
3.819
1.321
1.319
1.318
1.316
2.508
2.500
2.492
2.485
2.819
2.807
2.797
2.787
22
3.792
1.060
1.059
1.058
23
2.177
24
25
2.172
2.167
3.768
3.745
3.725
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
2.056
2.052
2.048
2.045
2.042
2.779
2.771
2.763
2.756
2.750
3.707
3.690
3.674
3.659
3.646
1.058
1.315
1.706
1.703
1.701
1.699
1.697
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
26
1.057
27
28
29
30
1.314
1.313
1.055 1.311
1.055
1.056
1.310
0.682
0.682
0.682
0.853
0.853
0.853
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.744
2.738
2.733
2.728
2.724
31
2.040
2.144
2.453
2.449
2.445
2.441
2.438
3.022
32
33
34
35
2.037
2.035
2.032
2.030
2.141
2.138
2.136
2.133
3.375
3.365
3.356
3.348
3.633
3.622
3.611
3.601
3.591
3.015
3.008
0.852
0.852
3.002
2.996
0.682
0.682
3.340
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
2.028
2.026
2.024
2.719
2.715
2.712
36
0.681
0.681
0.681
0.681
1.688
2.131
2.434
2.431
2.429
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
37
38
1.687
2.129
1.686
1.685
1.684
2.127
2.125
2.123
39
0.851
2.023
2.426
2.708
40
0.681
0.851
2.021
2.423
2.704
1.047
1.045
0.679
0.679
0.678
0.678
1.676
1.671
1.667
1.664
0.849
1.299
1.296
2.403
2.390
2.381
2.374
2.937
2.915
2.899
2.887
3.496
3.460
3.435
3.416
50
2.009
2.109
2.678
2.660
2.648
2.639
3.261
3.232
3.211
3.195
60
2.000
1.994
1.990
2.099
2.093
2.088
0.848
0.847
0.846
70
1.044
1.043
1.294
80
1.292
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