(a) Find P(T <1.328) when v = 19. (b) Find P(T>2.110) when v = 17. (c) Find P(-2.552 -1.356) when v = 12. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) P(T <1.328) = 0.900 (Round to three decimal places as needed.) (b) P(T>2.110)=0.025 (Round to three decimal places as needed.) (c) P(-2.552 -1.356)=0.798 (Round to three decimal places as needed.)
(a) Find P(T <1.328) when v = 19. (b) Find P(T>2.110) when v = 17. (c) Find P(-2.552 -1.356) when v = 12. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) P(T <1.328) = 0.900 (Round to three decimal places as needed.) (b) P(T>2.110)=0.025 (Round to three decimal places as needed.) (c) P(-2.552 -1.356)=0.798 (Round to three decimal places as needed.)
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ISBN:9780134753119
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Publisher:Sheldon Ross
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Transcribed Image Text:(a) Find P(T < 1.328) when v = 19.
(b) Find P(T>2.110) when v = 17.
(c) Find P(-2.552 <T<1.330) when v = 18.
(d) Find P(T> -1.356) when v = 12.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
(a) P(T <1.328)=0.900 (Round to three decimal places as needed.)
(b) P(T>2.110)=0.025 (Round to three decimal places as needed.)
(c) P(-2.552<T<1.330) = 0.890 (Round to three decimal places as needed.)
(d) P(T-1.356)=0.798 (Round to three decimal places as needed.)
Transcribed Image Text:Critical Values of the t-Distribution
Critical Values of the t-Distribution
a
0.40
0.30
0.20
0.15
0.10
0.05
0.025
α
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
せ
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
1 15.894
21.205
31.821
42.433
63.656
127.321
636.578
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
2
4.849
5.643
6.965
8.073
9.925
14.089
31.600
4
0.271
0.569
0.941
1.190
1.533
2.132
2.776
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
в
0.265
0.553
0.906
1.134
1.440
1.943
2.447
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
6
2.612
2.829
3.143
3.372
3.707
4.317
5.959
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
7
2.517
2.715
2.998
3.203
3.499
4.029
5.408
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
8
2.449
2.634
2.896
3.085
3.355
3.833
5.041
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
9
2.398
2.574
2.821
2.998
3.250
3.690
4.781
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
10
2.359
2.527
2.764
2.932
3.169
3.581
4.587
12
0.259
0.539
0.873
1.083
1.356
1.782
2.179
11
2.328
2.491
2.718
2.879
3.106
3.497
4.437
13
0.259
0.538
0.870
1.079
1.350
1.771
2.160
12
2.303
2.461
2.681
2.836
3.055
3.428
4.318
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
13
2.282
2.436
2.650
2.801
3.012
3.372
4.221
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
14
2.264
2.415
2.624
2.771
2.977
3.326
4.140
16
0.258
0.535
0.865
1.071
1.337
1.746
15
2.120
2.249
2.397
2.602
2.746
2.947
3.286
4.073
17
0.257
0.534
0.863
1.069
1.333
1.740
2.110
16
2.235
2.382
2.583
2.724
2.921
3.252
4.015
228
18
0.257
0.534
0.862
1.067
1.330
1.734
2.101
17
2.224
2.368
2.567
2.706
2.898
3.222
3.965
19
0.257
0.533
0.861
1.066
1.328
1.729
2.093
18
2.214
2.356
2.552
2.689
2.878
3.197
3.922
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
19
2.205
2.346
2.539
2.674
2.861
3.174
3.883
21
0.257
0.532
0.859
1.063
1.323
1.721
20
2.080
2.197
2.336
2.528
2.661
2.845
3.153
3.850
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
21
2.189
2.328
2.518
2.649
2.831
3.135
3.819
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
22
2.183
2.320
2.508
2.639
2.819
3.119
3.792
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
23
2.177
2.313
2.500
2.629
2.807
3.104
3.768
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
24
2.172
2.307
2.492
2.620
2.797
3.091
3.745
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
25
2.167
2.301
2.485
2.612
2.787
3.078
3.725
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
26
2.162
2.296
2.479
2.605
2.779
3.067
3.707
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
27
2.158
2.291
2.473
2.598
2.771
3.057
3.689
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
28
2.154
2.286
2.467
2.592
2.763
3.047
3.674
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
29
2.150
2.282
2.462
2.586
2.756
3.038
3.660
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
30
2.147
2.278
2.457
2.581
2.750
3.030
3.646
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
40
2.123
2.250
2.423
2.542
2.704
2.971
3.551
120
0.254
0.526
0.845
1.041
1.289
1.658
1.980
60
2.099
2.223
2.390
2.504
2.660
2.915
3.460
∞
0.253
0.524
0.842
1.036
1.282
1.645
1.960
120
2.076
2.196
2.358
2.468
2.617
2.860
3.373
t
0.40
0.30
0.20
0.15
0.10
0.05
0.025
∞
2.054
2.170
2.326
2.432
2.576
2.807
3.290
a
セ
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
α
Dr
C 6
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