2. A new bus route has been established between downtown and booville. I've taken the bus for many years. For the old bus route, the mean waiting time between busses at my stop is 20 minutes (population mean) . However the new route had had mean (X bar) of 15.1 minutes with a sample standard deviation of 6.2 minutes. 5=6.2 )Does this mean the mean waiting time is shorter than the old route. Check this claim at the 5% level (SAMPLE SIZE: 5)Critical Values for Student's t Distribution c is a confidence level one-tail area 0.250 0.125 0.100 0.075 0.050 0.025 0.010 0.005 0.0005 two-tail area 0.500 0.250 0.200 0.150 0.100 0.050 0.020 0.010 0.0010 L.E. 0.500 0.750 0.800 0.850 0.900 0.950 0.980 0.990 0.999 Area c 1.000 2.414 3.0784 4.165 6314 12.706 31.821 63.657 636.619 NJ 0.816 1 1.886 2.282 2.920 4.303 6.965 9.925 31.599 0.765 1.638 1.924 2.353 3.182 4.541 5.841 12.924 0.741 1344 1.533 1.778 2.132 2.776 3.747 4.604 8.610 5 0.727 1.301 1.476 1.699 2015 2.571 3.365 4.032 6.869 0.718 1.273 1.440 1.650 1.943 2.447 3.143 3.707 5.959 0.711 1.254 1.415 1.617 1.895 2.365 2.998 3.499 5.408 One-tail area 0.706 1.240 1.397 1.592 1.860 2.306 2.896 3.355 5.041 0.703 1.230 1.383 1.574 1.833 2.262 2.821 3.250 4.781 10 0.700 1.221 1.372 1.559 1.812 2.228 2.764 3.169 4.587 11 0.697 1.214 1.363 1.548 1.796 2.201 2.718 3.106 4.437 Right-tail area 12 0.695 1.209 1.356 1.538 1.782 2.179 2.681 3.055 4318 0.694 1.204 1.350 1.530 1.771 2.160 2650 3.012 4.221 14 0.692 1.200 1345 1.523 1 2.145 2624 2.977 4.140 15 0.691 1.197 1.341 1.517 1.753 2.131 2.602 2.947 4.073 16 0.690 1.194 1.337 1.512 1.746 2.120 2.583 2.921 4.015 17 0.689 1.191 1.333 1.508 1.740 2.110 2.567 2.898 3.965 18 0.688 1.189 1.330 1.504 1.734 2.101 2.552 2.878 3.922 19 0.688 1.187 1.328 1.500 1.729 2.093 2.539 2.861 3.883 Left-tail 20 0.687 1.185 1 325 1.497 1.725 2.086 2.528 2.845 3.850 area 21 0.686 1.183 1.323 1.494 1.721 2.080 2.518 2.831 3.819 22 0.686 1.182 1.321 1.492 1.717 2.074 2.508 2819 3.792 0 23 0.685 1-180 1.319 1.489 1.714 2.069 2.500 2.807 3.768 24 0.685 1.179 1 1.318 1.487 1.711 2.064 2.492 2.797 3.745 25 0.684 1.198 1.316 1.485 1.708 2.060 2.485 2.787 3.725 26 0.684 1 1.177 1.315 1.483 1.706 2.056 2.479 2.779 3.707 27 0.684 1.176 1.314 1.482 1.703 2.052 2.473 2.771 3.690 Two-tail area 28 0.683 51.175 1.313 1.480 1.701 2.048 2.467 2.763 3.674 29 0.683 1.174 1.311 1.479 1.699 2.045 2.462 2.756 3.659 30 0.683 1.173 1.310 1.477 1.697 2.042 2.457 2.750 3.646 35 0.682 1.170 1.306 1.472 1.690 2.030 2.438 2.724 3.591 Area 40 0.681 1303 1.468 1.684 2.021 2.423 2.704 3.551 45 0.680 1.165 1.301 1.465 1.679 2.014 2.412 2.690 3.520 50 0.679 1.164 1.299 1.462 1.676 2.009 2.403 2.678 3.496 60 0.679 1.162 1.296 1.458 1.671 2.000 2390 2.660 3.460 70 0.678 1.160 1.294 1.456 1.667 1.994 2.381 2.648 3.435 80 0.678 1.292 1.453 1.664 1.990 2.374 2.639 3.416 100 0.677 1.290 1.451 1.660 1.984 2364 2.626 3.390 500 0.675 1.152 1.283 1.442 1.648 1 1.965 2.334 2.586 3.310 1000 0.675 1.151 1.282 1.441 1.646 1.962 2.330 2.581 3.300 0.674 1.150 1.282 1.440 1.645 1.960 2.326 2.576 3.291 For degrees of freedom off not in the table, use the closest dif that is smaller
