SOLUTION: 12.) Find the P-value for the following values of the test statistic t, statistic t, sample size n, and alternate hypothesis H1. If you use Table A.3, you may specify that P is bet

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Question 1177121: 12.) Find the P-value for the following values of the test statistic t, statistic t, sample size n, and alternate hypothesis H1. If you use Table A.3, you may specify that P is between two values.
d.)t = 3.635, n = 4, H1: μ > μ0
Table A.3 Critical Values for the Student’s t Distribution

Degrees of
Freedom
Area in Right Tail
0.40
0.25
0.10
0.05
0.025
0.01
0.005
0.0025
0.001
0.0005
1
0.325
1.000
3.078
6.314
12.706
31.821
63.657
127.321
318.309
636.619
2
0.289
0.816
1.886
2.920
4.303
6.965
9.925
14.089
22.327
31.599
3
0.277
0.765
1.638
2.353
3.182
4.541
5.841
7.453
10.215
12.924
4
0.271
0.741
1.533
2.132
2.776
3.747
4.604
5.598
7.173
8.610
5
0.267
0.727
1.476
2.015
2.571
3.365
4.032
4.773
5.893
6.869
6
0.265
0.718
1.440
1.943
2.447
3.143
3.707
4.317
5.208
5.959
7
0.263
0.711
1.415
1.895
2.365
2.998
3.499
4.029
4.785
5.408
8
0.262
0.706
1.397
1.860
2.306
2.896
3.355
3.833
4.501
5.041
9
0.261
0.703
1.383
1.833
2.262
2.821
3.250
3.690
4.297
4.781
10
0.260
0.700
1.372
1.812
2.228
2.764
3.169
3.581
4.144
4.587
11
0.260
0.697
1.363
1.796
2.201
2.718
3.106
3.497
4.025
4.437
12
0.259
0.695
1.356
1.782
2.179
2.681
3.055
3.428
3.930
4.318
13
0.259
0.694
1.350
1.771
2.160
2.650
3.012
3.372
3.852
4.221
14
0.258
0.692
1.345
1.761
2.145
2.624
2.977
3.326
3.787
4.140
15
0.258
0.691
1.341
1.753
2.131
2.602
2.947
3.286
3.733
4.073
16
0.258
0.690
1.337
1.746
2.120
2.583
2.921
3.252
3.686
4.015
17
0.257
0.689
1.333
1.740
2.110
2.567
2.898
3.222
3.646
3.965
18
0.257
0.688
1.330
1.734
2.101
2.552
2.878
3.197
3.610
3.922
19
0.257
0.688
1.328
1.729
2.093
2.539
2.861
3.174
3.579
3.883
20
0.257
0.687
1.325
1.725
2.086
2.528
2.845
3.153
3.552
3.850
21
0.257
0.686
1.323
1.721
2.080
2.518
2.831
3.135
3.527
3.819
22
0.256
0.686
1.321
1.717
2.074
2.508
2.819
3.119
3.505
3.792
23
0.256
0.685
1.319
1.714
2.069
2.500
2.807
3.104
3.485
3.768
24
0.256
0.685
1.318
1.711
2.064
2.492
2.797
3.091
3.467
3.745
25
0.256
0.684
1.316
1.708
2.060
2.485
2.787
3.078
3.450
3.725
26
0.256
0.684
1.315
1.706
2.056
2.479
2.779
3.067
3.435
3.707
27
0.256
0.684
1.314
1.703
2.052
2.473
2.771
3.057
3.421
3.690
28
0.256
0.683
1.313
1.701
2.048
2.467
2.763
3.047
3.408
3.674
29
0.256
0.683
1.311
1.699
2.045
2.462
2.756
3.038
3.396
3.659
30
0.256
0.683
1.310
1.697
2.042
2.457
2.750
3.030
3.385
3.646
31
0.256
0.682
1.309
1.696
2.040
2.453
2.744
3.022
3.375
3.633
32
0.255
0.682
1.309
1.694
2.037
2.449
2.738
3.015
3.365
3.622
33
0.255
0.682
1.308
1.692
2.035
2.445
2.733
3.008
3.356
3.611
34
0.255
0.682
1.307
1.691
2.032
2.441
2.728
3.002
3.348
3.601
35
0.255
0.682
1.306
1.690
2.030
2.438
2.724
2.996
3.340
3.591
36
0.255
0.681
1.306
1.688
2.028
2.434
2.719
2.990
3.333
3.582
37
0.255
0.681
1.305
1.687
2.026
2.431
2.715
2.985
3.326
3.574
38
0.255
0.681
1.304
1.686
2.024
2.429
2.712
2.980
3.319
3.566
39
0.255
0.681
1.304
1.685
2.023
2.426
2.708
2.976
3.313
3.558
40
0.255
0.681
1.303
1.684
2.021
2.423
2.704
2.971
3.307
3.551
50
0.255
0.679
1.299
1.676
2.009
2.403
2.678
2.937
3.261
3.496
60
0.254
0.679
1.296
1.671
2.000
2.390
2.660
2.915
3.232
3.460
80
0.254
0.678
1.292
1.664
1.990
2.374
2.639
2.887
3.195
3.416
100
0.254
0.677
1.290
1.660
1.984
2.364
2.626
2.871
3.174
3.390
200
0.254
0.676
1.286
1.653
1.972
2.345
2.601
2.839
3.131
3.340
z
0.253
0.674
1.282
1.645
1.960
2.326
2.576
2.807
3.090
3.291

20%
50%
80%
90%
95%
98%
99%
99.5%
99.8%
99.9%
Confidence Level
Answer by Boreal(15235) (Show Source):
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