Find the P-value for the following values of the test statistic t, sample size n, and alternate hypothesis H1.
12.) Find the P-value for the following values of the test 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 |
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