Find the P-value for the following values of the test statistic t, sample size n, and alternate hypothesis H,. Use the © Critical Values for the Student's t Distribution Table

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Find the P-value for the following values of the test statistic t, sample size n, and alternate hypothesis H,. Use the © Critical Values for the Student's t Distribution Table and specify that P is between two values.
When t=2.338, n=29, and H,:µz Po-
< P-value <
Transcribed Image Text:When t=2.338, n=29, and H,:µz Po- < P-value <
5:46 9
Critical Valuos for the Student's fDistribution
Area
Degrees of
Area in Right Tail
Freedom
0.40
0.25
0.10
0.05
L.025
0.01
0.0025
0.001
0.325 1000 3.078 6.314 12.706 31.821 63.657 127.321 318.309 636619
0.289 1816 1.886 2.920
0.277 0.765 1.633 2.353
4.303
6.965
9.925
14.059
22.327 31.59
3.182
4.541
5.841
7453
10.215
12924
0.271 0.741 1.533 2.132
2.776
3.T47
4.604
5.598
7.173
8610
5.
0.267 0.727 1476 2015
0.265 0.718 1440 1.943
0.263 0.711 1415 1,895
2.571
3.365
4.032
4.773
5.893
5.2I
6869
5.959
5.406
3.TU7
4317
2.447
2.365
3.143
2.998
3.499
4.029
4.785
0.262 0.706 1.397 1.360
2.306
3833
4.3n
2.896
2.821
3.355
5.041
4.781
0.261 0.703 1.383 1333
0.260 0.700 1.372 1812
0.260 069T 1.363 1.796
069E
4.297
4.144
2.262
3.250
10
11
2.228
2.201
2.764
3.169
3. 106
3.065
3.581
3.497
4.587
4.025
4437
12
13
0.259 0695 1.356 1.782
0.259 0694 1.350 1.771
2.179
2.160
2.681
2.650
2624
3.012
2.977
3.428
3312
3.326
3.930
3.352
3.787
4.318
4.221
14
0.258 D692 1.345 1.761
2.145
4.140
0.258 0091 1.341 1.753
0.258 0.690 1.337 1.746
0.257 0689 1333 1740
2.602
2.131
2.120
2.1 10
2.947
2.921
2.898
3.286
3.252
3.222
3.J33
4.173
16
17
2.583
2.567
3.686
4015
3.965
3.646
0.257 0688 1.330 1.734
0.257 D688 1.328 1.729
2.101
2.093
2.06
2.552
2.539
2.528
2.878
2. K61
2.845
3.197
19
20
3,610
3.579
3.552
3922
3.893
3.850
3174
0.257 D6S7 1.325 1.725
3.153
21
22
23
0.257 0656 1.323 1.721
0.256 0.686 1.321 1.717
0.256 1685 1319 1.714
2.00
2.074
2.0)
2.518
2.505
2.500
2.K31
2.819
3.135
3.527
3.505
3.485
3819
3.792
3.768
3.119
3.104
24
25
26
27
0.256 0685 1318 1.711
0.256 D684 1.316 1.718
0.256 0684 1315 1.706
0.256 0684 1314 L703
2.064
2.060
2.056
2.052
2.492
2.485
2479
2.473
2.797
2.T87
2.779
2.771
3.091
3.078
3.067
3.057
3.467
3.450
3.435
3.745
3.725
3.707
28
29
30
0.256 0683 1.313 1.701
0.256 0683
0.256 0683 1310 1697
2.048
2.467
2462
2457
2. T63
2.756
2.150
3.047
3.674
1.311 169)
2.045
2042
3.038
3.396
3699
DETE
3.385
3.375
3.646
31
32
0.256 0682 1.309 166
0.255 0682 1.309 1694
0.255 0612 1.308 1692
2040
2.037
2035
2453
2.449
2.744
2.735
3.022
3.015
3.008
3.633
3622
3611
3.365
33
2445
3.356
34
35
36
0.255 1682 1.307 1691
0.255 0682 1.306 160)
0.255 0681 1.306 1688
0.255 681
0.255 1681 1.304 1686
0.255 0681 1.304 LARS
2.032
2441
2.128
2.124
2.T19
3.002
2.030
2.028
3.348
3.340
3333
3601
3.991
2438
2.96
2434
2990
3.532
37
1.305 1687
2.006
1024
2.023
2715
2.T12
2.70S
2431
2.995
354
3.566
38
2429
2.990
3.319
39
3.426
2976
3.313
40
50
0.255 0.681
0.255 069 1.299 1676
0.254 0.679 1.296 1671
0.254 0678 1.292 1664
1.303 1684
2.021
2.00
2.423
2.403
2.TIH
2.971
2937
2915
2887
3.307
3.551
3.496
3450
3416
2678
3.261
60
2.000
2.300
2660
2639
3.232
3.195
80
100
200
1.990
2.374
0.254 0677 1.290 1.660
1984 2.364
1.972
2.345
2.626
2871
3.174
3.131
3.390
0.254 1676 1.286 1653
2.601
2839
3.340
0.253 0674
S0%
1.282 1.645
90%
4.960
2.326
2.576
98S
99%
Coniknoe Level
2807
99.5%
3.291
20%
99.8%
99.9%
Transcribed Image Text:5:46 9 Critical Valuos for the Student's fDistribution Area Degrees of Area in Right Tail Freedom 0.40 0.25 0.10 0.05 L.025 0.01 0.0025 0.001 0.325 1000 3.078 6.314 12.706 31.821 63.657 127.321 318.309 636619 0.289 1816 1.886 2.920 0.277 0.765 1.633 2.353 4.303 6.965 9.925 14.059 22.327 31.59 3.182 4.541 5.841 7453 10.215 12924 0.271 0.741 1.533 2.132 2.776 3.T47 4.604 5.598 7.173 8610 5. 0.267 0.727 1476 2015 0.265 0.718 1440 1.943 0.263 0.711 1415 1,895 2.571 3.365 4.032 4.773 5.893 5.2I 6869 5.959 5.406 3.TU7 4317 2.447 2.365 3.143 2.998 3.499 4.029 4.785 0.262 0.706 1.397 1.360 2.306 3833 4.3n 2.896 2.821 3.355 5.041 4.781 0.261 0.703 1.383 1333 0.260 0.700 1.372 1812 0.260 069T 1.363 1.796 069E 4.297 4.144 2.262 3.250 10 11 2.228 2.201 2.764 3.169 3. 106 3.065 3.581 3.497 4.587 4.025 4437 12 13 0.259 0695 1.356 1.782 0.259 0694 1.350 1.771 2.179 2.160 2.681 2.650 2624 3.012 2.977 3.428 3312 3.326 3.930 3.352 3.787 4.318 4.221 14 0.258 D692 1.345 1.761 2.145 4.140 0.258 0091 1.341 1.753 0.258 0.690 1.337 1.746 0.257 0689 1333 1740 2.602 2.131 2.120 2.1 10 2.947 2.921 2.898 3.286 3.252 3.222 3.J33 4.173 16 17 2.583 2.567 3.686 4015 3.965 3.646 0.257 0688 1.330 1.734 0.257 D688 1.328 1.729 2.101 2.093 2.06 2.552 2.539 2.528 2.878 2. K61 2.845 3.197 19 20 3,610 3.579 3.552 3922 3.893 3.850 3174 0.257 D6S7 1.325 1.725 3.153 21 22 23 0.257 0656 1.323 1.721 0.256 0.686 1.321 1.717 0.256 1685 1319 1.714 2.00 2.074 2.0) 2.518 2.505 2.500 2.K31 2.819 3.135 3.527 3.505 3.485 3819 3.792 3.768 3.119 3.104 24 25 26 27 0.256 0685 1318 1.711 0.256 D684 1.316 1.718 0.256 0684 1315 1.706 0.256 0684 1314 L703 2.064 2.060 2.056 2.052 2.492 2.485 2479 2.473 2.797 2.T87 2.779 2.771 3.091 3.078 3.067 3.057 3.467 3.450 3.435 3.745 3.725 3.707 28 29 30 0.256 0683 1.313 1.701 0.256 0683 0.256 0683 1310 1697 2.048 2.467 2462 2457 2. T63 2.756 2.150 3.047 3.674 1.311 169) 2.045 2042 3.038 3.396 3699 DETE 3.385 3.375 3.646 31 32 0.256 0682 1.309 166 0.255 0682 1.309 1694 0.255 0612 1.308 1692 2040 2.037 2035 2453 2.449 2.744 2.735 3.022 3.015 3.008 3.633 3622 3611 3.365 33 2445 3.356 34 35 36 0.255 1682 1.307 1691 0.255 0682 1.306 160) 0.255 0681 1.306 1688 0.255 681 0.255 1681 1.304 1686 0.255 0681 1.304 LARS 2.032 2441 2.128 2.124 2.T19 3.002 2.030 2.028 3.348 3.340 3333 3601 3.991 2438 2.96 2434 2990 3.532 37 1.305 1687 2.006 1024 2.023 2715 2.T12 2.70S 2431 2.995 354 3.566 38 2429 2.990 3.319 39 3.426 2976 3.313 40 50 0.255 0.681 0.255 069 1.299 1676 0.254 0.679 1.296 1671 0.254 0678 1.292 1664 1.303 1684 2.021 2.00 2.423 2.403 2.TIH 2.971 2937 2915 2887 3.307 3.551 3.496 3450 3416 2678 3.261 60 2.000 2.300 2660 2639 3.232 3.195 80 100 200 1.990 2.374 0.254 0677 1.290 1.660 1984 2.364 1.972 2.345 2.626 2871 3.174 3.131 3.390 0.254 1676 1.286 1653 2.601 2839 3.340 0.253 0674 S0% 1.282 1.645 90% 4.960 2.326 2.576 98S 99% Coniknoe Level 2807 99.5% 3.291 20% 99.8% 99.9%
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