(c) Find the t-value such that the area left of the t-value is 0.20 with 22 degrees of freedom. [H
(c) Find the t-value such that the area left of the t-value is 0.20 with 22 degrees of freedom. [H
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
Question #1 Part C
![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 0.05 with 11 degrees of freedom.
1.796 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom.
3.499 (Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.20 with 22 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3687cbc-fe37-486e-87e6-a5fec1076243%2Fc6ecc27f-3b53-4311-9484-40cc9ec36c9c%2Fqdk1bz_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 0.05 with 11 degrees of freedom.
1.796 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom.
3.499 (Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.20 with 22 degrees of freedom. [Hint: Use symmetry.]
(Round to three decimal places as needed.)
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
6.314
2.920
2.353
2.132
12.706
4.303
3.182
2.776
2.571
63.657
9.925
5.841
4.604
15.894
4.849
1
0.816
3
3.078
1.886
1.638
1.533
31.821
6.965
4.541
3.747
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
1.000
1.376
1.963
1.386
1.250
1.190
1.156
1.061
0.765
4
0.978
0.941
3.482
0.741
0.727
2.999
2.757
0.920
1.476
2.015
3.365
4.032
3.707
3.499
5.208
4.785
4.501
4.297
4.144
0.718
0.711
1.134
1.119
5.959
5.408
1.440
1.415
1.397
1.383
1.943
1.895
2.447
2.365
3.143
2.998
2.896
2.821
2.764
0.906
0.896
2.612
2.517
4.317
4.029
3.833
3.690
3.581
7
8
0.706
0.889
1.108
1.860
1.833
2.306
2.449
0.883
0.879
1.100
1.093
2.398
2.359
3.355
3.250
3.169
5.041
4.781
9
0.703
2.262
2.228
10
0.700
1.372
1.812
4.587
2.328
2.303
3.497
3.428
3.372
3.326
3.286
11
0.697
0.695
2.201
2.179
2.160
2.145
2.718
2.681
2.650
2.624
3.106
3.055
3.012
2.977
0.876
1.088
1.363
1.796
4.025
3.930
4.437
0.873
0.870
0.868
1.083
1.079
1.076
1.074
1.356
1.350
12
1.782
1.771
1.761
1.753
4.318
4.221
13
3.852
3.787
0.694
2.282
0.692
0.691
2.264
2.249
14
1.345
4.140
15
0,866
1.341
2.131
2.602
2.947
3.733
4.073
0.865
0.863
0.862
0.861
0.860
1.337
1.333
1.330
1.328
1.325
2.235
2.224
2.214
2.205
2.197
3.252
3.222
3.197
3.174
3.153
16
1.071
4.015
3.965
3.922
3.883
3.850
0.690
1.746
2.120
2.583
2.567
2.552
2.539
2.528
2.921
1.740
1.734
1.729
1.725
3.686
3.646
3.610
3.579
3.552
17
0.689
1.069
2.110
2.898
18
19
20
1.067
1.066
1.064
2.878
2.861
2.845
0.688
2.101
2.093
0.688
0.687
2.086
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
1.318
1.316
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
21
3.819
3.792
3.768
3.745
3.725
0.686
1.721
1.717
2.080
2.074
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
22
0.686
23
0.685
0.685
0.684
1.714
2.069
24
25
1.711
1.708
2.064
2.060
2.485
0.684
0.684
0.683
0.683
0.683
1.058
1.057
1.056
1.055
1.055
2.779
2.771
2.763
2.756
2.750
3.435
3.421
0.856
0.855
0.855
0.854
0.854
2.479
2.473
2.467
2.462
3.707
3.690
3.674
3.659
3.646
26
27
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
1.706
3.067
1.703
1.701
1.699
1.697
3.057
3.047
3.038
3.030
3.408
3.396
3.385
28
29
30
2.457
31
32
33
34
35
0.853
0.853
0.853
0.852
0.852
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
2.144
2.141
2.138
2.453
2.449
2.445
2.441
2.438
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
0.682
2.040
2.037
2.035
2.032
2.030
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
0.682
0.682
0.682
2.136
0.682
2.133
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
2.434
2.431
2.429
1.306
1.688
2.719
2.715
2.712
2.708
2.704
3.582
3.574
3.566
3.558
3.551
36
0.681
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
37
0.681
1.305
1.304
1.304
1.303
1.687
38
0.681
39
40
1.686
1.685
1.684
2.426
2.423
3.313
3.307
0.681
0.681
2.009
2.000
1.047
1.045
1.044
1.043
3.261
3.232
3.211
3.195
2.109
2.099
3.496
3.460
50
0.679
0.849
0.848
1.299
1.296
1.676
1.671
1.667
1.664
2.403
2.390
2.381
2.374
2.678
2.660
2.937
2.915
2.899
2.887
60
0.679
0.678
0.678
0.847
0.846
2.093
2.088
70
1.294
1.994
2.648
3.435
3.416
80
1.292
1.990
2.639
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