Using a table of critical t-values of the t distribution, find the range of valu

Question

Using a table of critical t-values of the t distribution, find the range of values for the P-value for a two-tailed test with

n=16

and test statistic t=1.961

t distribution: Critical t values Area in One Tail 0.005 0.01 0.025 0.05 0.1 Degrees of Freedom Area in Two Tails 0.01 0.02 0.05 0.1 0.2 1 63.657 31.821 12.706 6.314 3.078 2 9.925 6.965 4.303 2.92 1.886 3 5.841 4.541 3.182 2.353 1.638 4 4.604 3.747 2.776 2.132 1.533 5 4.032 3.365 2.571 2.015 1.476 6 3.707 3.143 2.447 1.943 1.44 7 3.499 2.998 2.365 1.895 1.415 8 3.355 2.896 2.306 1.86 1.397 9 3.25 2.821 2.262 1.833 1.383 10 3.169 2.764 2.228 1.812 1.372 11 3.106 2.718 2.201 1.796 1.363 12 3.055 2.681 2.179 1.782 1.356 13 3.012 2.65 2.16 1.771 1.35 14 2.977 2.624 2.145 1.761 1.345 15 2.947 2.602 2.131 1.753 1.341 16 2.921 2.583 2.12 1.746 1.337 17 2.898 2.567 2.11 1.74 1.333 18 2.878 2.552 2.101 1.734 1.33 19 2.861 2.539 2.093 1.729 1.328 20 2.845 2.528 2.086 1.725 1.325 21 2.831 2.518 2.08 1.721 1.323 22 2.819 2.508 2.074 1.717 1.321 23 2.807 2.5 2.069 1.714 1.319 24 2.797 2.492 2.064 1.711 1.318 25 2.787 2.485 2.06 1.708 1.316 26 2.779 2.479 2.056 1.706 1.315 27 2.771 2.473 2.052 1.703 1.314 28 2.763 2.467 2.048 1.701 1.313 29 2.756 2.462 2.045 1.699 1.311 30 2.75 2.457 2.042 1.697 1.31 31 2.744 2.453 2.04 1.696 1.309 32 2.738 2.449 2.037 1.694 1.309 33 2.733 2.445 2.035 1.692 1.308 34 2.728 2.441 2.032 1.691 1.307 35 2.724 2.438 2.03 1.69 1.306 36 2.719 2.434 2.028 1.688 1.306 37 2.715 2.431 2.026 1.687 1.305 38 2.712 2.429 2.024 1.686 1.304 39 2.708 2.426 2.023 1.685 1.304 40 2.704 2.423 2.021 1.684 1.303 45 2.69 2.412 2.014 1.679 1.301 50 2.678 2.403 2.009 1.676 1.299 60 2.66 2.39 2 1.671 1.296 70 2.648 2.381 1.994 1.667 1.294 80 2.639 2.374 1.99 1.664 1.292 90 2.632 2.368 1.987 1.662 1.291 100 2.626 2.364 1.984 1.66 1.29 200 2.601 2.345 1.972 1.653 1.286 300 2.592 2.339 1.968 1.65 1.284 400 2.588 2.336 1.966 1.649 1.284 500 2.586 2.334 1.965 1.648 1.283 1000 2.581 2.33 1.962 1.646 1.282 2000 2.578 2.328 1.961 1.646 1.282 Large 2.576 2.326 1.96 1.645 1.282 Degrees of Freedom Area in One Tail 0.005 0.01 0.03 0.05 0.1 Area in Two Tails 0.01 0.02 0.05 0.1 0.2

Explanation / Answer

Here n = 16

Degree of freedom = 16-1 = 15

Use excel function

2*(1-T.DIST(1.961,15,TRUE)

= 0.0687

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