Two-tailed test with n = 15 and test statistic t = 1.495.

Either use technology to find the P-value or use Table A-3 to find a range of values for the P-value.

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TABLE A-3 t Distribution: Critical t Values Area in One Tail 0.025 Degrees of Freedom 888885 www860 VOGAWN- 17 19 20 21 22 23 24 25 26 27 28 29 30 32 33 34 35 36 38 39 40 45 50 60 70 80 90 100 200 300 400 500 1000 2000 Large 0.005 0.01 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.690 2.678 2.660 2.648 2.639 2.632 2.626 2.601 2.592 2.588 2.586 2.581 2.578 2.576 0.01 0.02 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2.412 2.403 2.390 2.381 2.374 2.368 2.364 2.345 2.339 2.336 2.334 2.330 2.328 2.326 Area in Two Tails 0.05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 2.028 2.026 2.024 2.023 2.021 2.014 2.009 2.000 1.994 1.990 1.987 1.984 1.972 1.968 1.966 1.965 1.962 1.961 1.960 0.05 0.10 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1.690 1.688 1.687 1.686 1.685 1.684 1.679 1.676 1.671 1.667 1.664 1.662 1.660 1.653 1.650 1.649 1.648 1.646 1.646 1.645 0.10 0.20 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.301 1.299 1.296 1.294 1.292 1.291 1.290 1.286 1.284 1.284 1.283 1.282 1.282 1.282 Left tail à Critical + value (negative) a/2 Critical + value (negative) Right tail α Critical + value (positive) Two tails α/2 Critical + value (positive)