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 0.01 with 6 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 23 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 0.10 with 6 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 19 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 0.01 with 6 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 23 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 0.10 with 6 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 19 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
27
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
12.706
1.000
0.816
3
1.376
1.061
0.978
0.941
3.078
1.886
15.894
4.849
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
636.619
31.599
12.924
8.610
1
1.963
6.314
127.321
14.089
7.453
5.598
318.309
22.327
10.215
7.173
1.386
2.920
2.353
2.132
2.015
2
4.303
0.765
4
0.741
0.727
1.250
1.190
1.156
1.638
1.533
1.476
3.182
2.776
3.482
2.999
4.604
4.032
0.920
2.571
2.757
4.773
5.893
6.869
5.208
4.785
4.501
4.297
4.144
0.906
0.896
1.134
1.119
1.943
1.895
1.860
1.833
1.812
2.612
2.517
2.449
2.398
3.143
2.998
2.896
2.821
2.764
3.707
4.317
4.029
3.833
5.959
5.408
5.041
4.781
6.
0.718
0.711
1.440
1.415
2.447
2.365
2.306
2.262
2.228
7
0.706
9
0.703
0.700
3.499
3.355
3.250
3.169
0.889
0.883
1.108
1.100
1.093
1.397
1.383
1.372
8
3.690
3.581
10
0.879
2.359
4.587
1.363
1.083 1.356
1.350
1.345
1.341
1.088
11
12
13
4.025
3.930
3.852
3.787
3.733
1.796
2.201
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
0.697
0.876
3.106
3.497
4.437
0.695
0.694
0.692
0.691
2.179
2.160
2.145
2.131
3.055
3.428
0.873
0.870
1.782
4.318
4.221
4.140
4.073
1.079
1.771
0.868
0.866
1.076
1.074
1.761
1.753
2.624
2.602
3.012
2.977
2.947
3.372
3.326
3.286
14
15
0.865
0.863
0.862
0.861
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
2.120
2.110
2.101
3.686
3.646
3.610
3.579
3.552
1.746
1.740
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
16
17
18
4.015
3.965
0.690
2.235
0.689
0.688
0.688
0.687
1.734
1.729
1.725
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
3.922
3.883
3.850
19
2.093
2.086
20
0.860
0.859
0.858
0.858
0.857
1.063
1.061
1.060
1.059
1.721
1.717
1.714
1.711
2.189
2.183
2.177
2.831
2.819
3.527
3.505
3.485
3.467
3.450
1.323
1.321
2.080
2.074
2.069
2.064
2.060
2.518
2.508
2.500
2.492
3.819
3.792
3.768
3.745
21
0.686
0.686
3.135
3.119
22
23
24
0.685
0.685
0.684
1.319
1.318
2.172
2.167
2.807
2.797
3.104
3.091
25
0.856
1.058 1.316
1.708
2.485
2.787
3.078
3.725
2.056
2.052
2.048
2.479
2.473
2.467
2.462
2.457
26
0.684
0.856
1.058 1.315
1.706
2.162
2.779
3.067
3.435
3.707
1.703
1.701
1.699
2.771
2.763
2.756
2.750
0.684
2.158
2.154
27
0.855
0.855
0.854
1.057 1.314
1.056 1.313
1.055 1.311
3.057
3.047
3.038
3.421
28
29
30
0.683
0.683
0.683
2.045
2.042
3.408
3.396
3.385
3.690
3.674
3.659
3.646
2.150
2.147
0.854
1.055
1.310
1.697
3.030
2.144
2.141
2.453
2.449
2.445
2.441
3.375
3.365
3.356
3.348
3.340
0.682
0.682
1.696
1.694
1.692
1.691
1.690
3.022
3.015
3.008
31
32
0.853
0.853
1.054 1.309
1.309
2.040
2.037
2.744
3.633
2.738
2.733
2.728
3.622
3.611
3.601
1.054
0.853
0.852
0.852
1.053
1.308
1.052
1.307
1.052 1.306
33
2.138
2.136
2.133
0.682
2.035
2.032
2.030
34
0.682
3.002
35
0.682
2.438
2.724
2.996
3.591
36
37
38
0.681
0.681
0.852
0.851
0.851
1.052
1.051
1.051
1.688
1.687
1.686
2.028
2.026
2.024
3.333
3.326
3.319
1.306
2.131
2.434
2.719
2.990
3.582
3.574
1.305
1.304
2.129
2.127
2.431
2.429
2.715
2.712
2.985
2.980
0.681
3.566
![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 0.01 with 6 degrees of freedom.
(Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.025 with 23 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 0.10 with 6 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 19 degrees of freedom.
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbedd9324-ac10-4143-9ed4-5d3240328de5%2F1c48e2ff-cda6-46cc-9d6a-b0c0befe10db%2Fjnf57qf_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 0.01 with 6 degrees of freedom.
(Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.025 with 23 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 0.10 with 6 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 19 degrees of freedom.
(Round to three decimal places as needed.)
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