Crucal I value 28 2.763 2.46/ 2.048 1.707 (positive) 1.313 28 29 2.756 2.462 2.045 1.699 1.311 29 30 2.750 2.457 2.042 1.697 1.310 30 31 2.744 2.453 2.040 1.696 1.309 31 32 2.738 2.449 2.037 1.694 1.309 32 33 2.733 2.445 2.035 1.692 1.308 33 34 2.728 2.441 2.032 1.691 1.307 34 35 2.724 2.438 2.030 1.690 1.306 35 Two tails 36 2.719 2.434 2.028 1.688 1.306 36 37 2.715 2.431 2.026 1.687 1.305 37 38 2.712 2.429 2.024 1.686 1.304 38 39 2.708 2.426 2.023 1.685 1.304 39 40 2.704 2.423 2.021 1.684 1.303 40 45 2.690 2.412 2.014 1.679 1.301 45 50 2.678 2.403 2.009 1.676 1.299 50 60 2.660 2.390 2.000 1.671 1.296 60 a/2 70 2.648 2.381 a/2 1.994 1.667 1.294 70 80 2.639 2.374 1.990 1.664 1.292 80 90 2.632 2.368 1.987 1.662 1.291 90 100 2.626 2.364 1.984 1.660 1.290 100 200 2.601 Critical t value 2.345 Critical t value 1.972 1.653 1.286 200 300 (negative) 2.592 (positive) 2.339 1.968 1.650 1.284 300 400 2.588 2.336 1.966 1.649 1.284 400 500 2.586 2.334 1.965 1.648 1.283 500 1000 2.581 2.330 1.962 1.646 1.282 1000 2000 2.578 2.328 1.961 1.646 1.282 2000 Large 2.576 2.326 1.960 1.645 1.282 Large Area in One Tail 0.005 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Degrees of Freedom 0.01 0.02 0.05 0.10 0.20 FreedomRefer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) Tlnterval below. (13.046.22.15) Click the icon to view a t distribution table. )2 = 17.598 Sx =16.01712719 n = 50 a. What is the number of degrees of freedom that should be used for nding the critical value tat/2? df=|:| (Type a whole number.) I). Find the critical value tam corresponding to a 95% condence level. t01/2 =D (Round to two decimal places as needed.) c. Give a brief general description of the number of degrees of freedom. 0 A. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values. 0 B. The number of degrees of freedom for a collection of sample data is the number of unique, non-repeated sample values. 0 C. The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. 0 D. The number of degrees of freedom for a collection of sample data is the total number of sample values. t Distribution: Critical t Values Left tail Area in One Tail 0.005 0.01 0.025 0.05 0.10 Degrees of Area in Two Tails Degrees of Freedom 0.01 0.02 0.05 0.10 0.20 Freedom 1 63.657 31.821 12.706 6.314 3.078 1 9.925 6.965 4.303 2.920 1.886 N C N 5.841 4.541 3.182 2.353 1.638 4.604 A W 3.747 2.776 2.132 1.533 4.032 3.365 2.571 2.015 VOU A 1.476 3.707 3.143 2.447 1.943 1.440 3.499 2.998 2.365 1.895 1.415 3.355 2.896 2.306 1.860 1.397 Critical t value 3.250 2.821 2.262 1.833 1.383 (negative) 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012 2.650 2.160 1.771 1.350 13 14 2.977 2.624 2.145 1.761 1.345 14 15 2.947 2.602 Right tail 2.131 1.753 1.341 15 16 2.921 2.583 2.120 1.746 1.337 16 17 2.898 2.567 2.110 1.740 1.333 17 18 2.878 2.552 2.101 1.734 1.330 18 19 2.861 2.539 2.093 1.729 1.328 19 20 2.845 2.528 2.086 1.725 1.325 20 21 2.831 2.518 2.080 1.721 1.323 21 22 2.819 2.508 2.074 1.717 1.321 22 23 2.807 2.500 2.069 1.714 1.319 23 24 2.797 2.492 2.064 1.711 1.318 24 25 2.787 2.485 2.060 1.708 1.316 25 26 2.779 2.479 2.056 1.706 1.315 26 27 2.771 2.473 2.052 1.703 1.314 27