- 2.093 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom. | (Round to three decimal places as needed.)
- 2.093 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom. | (Round to three decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
Question #9
Answer part D only!!
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
1.376
1.061
0.978
0.941
1.963
1.386
31.821
6.965
4.541
3.747
3.365
636.619
31.599
12.924
8.610
6.869
1
1.000
3.078
1.886
1.638
1.533
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
127.321
318.309
22.327
0.816
14.089
3
0.765
1.250
5.841
7.453
0.741
0.727
1.190
1.156
4.604
4.032
5.598
4.773
10.215
7.173
5.893
5
0.920
1.476
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.943
1.895
1.860
1.833
1.812
3.143
2.998
2.896
2.821
2.764
6
0.718
0.711
0.706
9
2.447
2.365
2.306
2.262
2.228
2.612
2.517
3.707
3.499
4.317
4.029
3.833
3.690
5.208
4.785
4.501
4.297
4.144
5.959
5.408
7
1.415
1.397
1.383
3.355
3.250
3.169
8
2.449
5.041
0.703
0.700
2.398
2.359
4.781
4.587
10
1.372
3.581
0.697
0.695
2.718
2.681
3.106
3.055
11
12
13
2.328
2.303
2.282
2.264
2.249
4.025
3.930
3.852
3.787
3.733
0.876
1.088
1.363
1.796
2.201
3.497
4.437
0.873
0.870
1.083
1.079
1.076
1.356
1.350
1.345
1.341
1.782
1.771
1.761
1.753
2.179
2.160
2.145
2.131
3.428
3.372
3.326
3.286
4.318
0.694
2.650
3.012
4.221
2.977
2.947
14
0.692
0.691
2.624
2.602
0.868
4.140
15
0.866
1.074
4.073
1.337
1.333
1.330
1.328
1.325
3.252
3.222
3.197
3.174
3.153
1.071
1.069
1.746
1.740
1.734
1.729
1.725
2.921
2.898
2.878
2.861
2.845
0.690
0.865
0.863
0.862
0.861
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
3.686
3.646
3.610
3.579
3.552
16
2.235
4.015
17
2.224
2.214
2.205
2.197
3.965
3.922
3.883
3.850
0.689
0.688
0.688
0.687
18
1.067
19
1.066
20
0.860
1.064
0.686
0.686
0.685
0.859
0.858
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
2.080
2.074
1.721
1.717
1.714
1.711
1.708
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
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
3.819
3.792
3.768
3.745
3.725
21
22
23
0.858
2.069
24
25
0.685
0.684
0,857
0.856
2.064
2.060
1.059
1.058
26
27
28
29
30
0.856
0.855
0.855
0.854
0.854
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
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
0.684
1.058
1.706
3.707
0.684
0.683
0.683
0.683
1.057
1.056
1.055
1.055
1.703
1.701
1.699
1.697
3.690
3.674
3.659
3.646
0.853
0.853
0.853
0.852
0.852
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.453
2.449
2.445
2.441
2.438
2.744
2.738
2.733
2.728
2.724
3.375
3.365
3.356
3.348
3.340
31
32
33
34
35
0.682
0.682
0.682
0.682
0.682
1.054
1.054
1.053
1.052
1.052
2.144
2.141
2.138
2.136
2.133
3.022
3.015
3.008
3.002
2.996
3.633
3.622
3.611
3.601
3.591
1.688
1.687
1.686
0.681
1.052
2.131
2.129
2.127
36
0.852
2.434
1.306
1.305
1.304
1.304
1.303
2.028
2.026
2.024
2.023
2.021
2.719
2.715
2.712
2.708
2.990
2.985
2.980
2.976
3.333
3.326
3.319
3.313
3.307
3.582
37
38
1.051
2.431
2.429
0.681
0.851
3.574
0.681
0.681
0.681
1.051
0.851
0.851 1.050
0.851
2.125
2.123
2.426
2.423
3.566
3.558
3.551
39
1.685
1.050
1.684
2.704
2.971
0.679
0.679
0.678
0.849
0.848
1.047
1.045
1.044
1.043
1.299
1.296
1.676
1.671
1.667
1.664
2.009
2.000
1.994
1.990
2.403
2.390
2.381
2.374
2.678
2.660
2.648
2.639
50
2.109
2.099
2.093
2.088
2.937
2.915
2.899
2.887
3.261
3.232
3.211
3.195
3.496
3.460
3.435
3.416
60
0.847
0.846
70
1.294
80
0.678
1.292
![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 0.005 with 16 degrees of freedom.
2.921 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.02 with 13 degrees of freedom.
2.282 (Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.025 with 19 degrees of freedom. [Hint: Use symmetry.]
- 2.093 (Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom.
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c4fe1e3-d4cd-4be2-8052-f8d176e81bba%2F1a16adaa-46d6-4c4d-a212-0997f49e1067%2F4pxbchg_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 0.005 with 16 degrees of freedom.
2.921 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.02 with 13 degrees of freedom.
2.282 (Round to three decimal places as needed.)
(c) Find the t-value such that the area left of the t-value is 0.025 with 19 degrees of freedom. [Hint: Use symmetry.]
- 2.093 (Round to three decimal places as needed.)
(d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom.
(Round to three decimal places as needed.)
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