(a) Find the t-value such that the area in the right tail is 0.20 with 14 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 14 degrees of freedom. (Round to three decimal places as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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Transcribed Image Text:= Homework: Section 9.2 Homework update
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 14 degrees of freedom.
(Round to three decimal places as needed.)
Question 1, 9.2.7
Part 1 of 4
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Transcribed Image Text:1
4
5
6
7
8
9
_0
_1
.2
_3
_4
.5
.6
_7
.8
_9
20
21
22
23
24
25
26
27
28
NTO600⁰
29
30
31
32
3
64
35
36
37
38
39 z
10 df
1
A
t-Distribution Area in Right Tail
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
50
60
80
100
1000
B
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.7
0.697
0.695
0.694
0.692
0.691
0.69
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.681
0.679
0.679
0.678
0.677
0.675
0.674
0.25
C
1.061
0.978
0.941
0.92
0.906
0.896
0.889
0.883
0.879
0.876
0.873
0.87
0.868
0.866
0.865
0.863
0.862
0.861
0.86
0.859
0.858
0.858
0.857
0.856
0.856
0.855
0.855
0.854
0.854
0.851
0.849
0.848
0.846
0.845
0.842
0.841
0.2
D
1.386
1.25
1.19
1.156
1.134
1.119
1.108
1.1
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.063
1.061
1.06
1.059
1.058
1.058
1.057
1.056
1.055
1.055
1.05
1.047
1.045
1.043
1.042
1.037
1.036
0.15
E
1.886
1.638
1.533
1.476
1.44
1.415
1.397
1.383
1.372
1.363
1.356
1.35
1.345
1.341
1.337
1.333
1.33
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.31
1.303
1.299
1.296
1.292
1.29
1.282
1.282
0.1
F
2.92
2.353
2.132
2.015
1.943
1.895
1.86
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.74
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.684
1.676
1.671
1.664
1.66
1.646
1.645
0.05
G
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.16
2.145
2.131
2.12
2.11
2.101
2.093
2.086
2.08
2.074
2.069
2.064
2.06
2.056
2.052
2.048
2.045
2.042
2.021
2.009
2
1.99
1.984
1.962
1.96
0.025
H
4.849
3.482
2.999
2.757
2.612
2.517
2.449
2.398
2.359
2.328
2.303
2.282
2.264
2.249
2.235
2.224
2.214
2.205
2.197
2.189
2.183
2.177
2.172
2.167
2.162
2.158
2.154
2.15
2.147
2.123
2.109
2.099
2.088
2.081
2.056
2.054
0.02
I
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.65
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.5
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.423
2.403
2.39
2.374
2.364
2.33
2.326
0.01
J
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.25
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.75
2.704
2.678
2.66
2.639
2.626
2.581
2.576
0.005
K
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.69
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.067
3.057
3.047
3.038
3.03
2.971
2.937
2.915
2.887
2.871
2.813
2.807
0.0025
L
M
22.327 31.599
10.215
7.173
5.893
5.208
12.924
8.61
6.869
5.959
4.785
4.501
5.408
5.041
4.781
4.297
4.144
4.025
4.587
4.437
4.318
3.93
3.852
4.221
3.787
4.14
3.733
4.073
3.686
4.015
3.646
3.965
3.611
3.922
3.579
3.883
3.552
3.85
3.527
3.819
3.505
3.792
3.485
3.768
3.467
3.745
3.45
3.725
3.435
3.707
3.421
3.69
3.408
3.674
3.396
3.659
3.385
3.646
3.307
3.551
3.261
3.496
3.232
3.46
3.195
3.416
3.174
3.39
3.098
3.3
3.091
3.291
0.001
0.0005
N
O
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