(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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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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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