A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the

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A Taxi Company Is Trying To Decide Whether To Purchase Brand A Or Brand B Tires For Its Fleet Of Taxis To Estimate The 1 (22.33 KiB) Viewed 36 times

A Taxi Company Is Trying To Decide Whether To Purchase Brand A Or Brand B Tires For Its Fleet Of Taxis To Estimate The 2 (40.58 KiB) Viewed 36 times

A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 8 of each brand, assigned at random to the left and right rear wheels of 8 taxis. The tires are run until they wear out and the distances, in kilometers, are recorded in the accompanying data set. Find a 95% confidence interval for μ₁ −μ₂. Assume that the differences of the distances are approximately normally distributed. Click here to view the data set. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. C Let μ, be the population mean for brand A and let μ₂ be the population mean for brand B. The confidence interval is <H₁-H₂<- (Round to one decimal place as needed.)

Data Set Taxi 12345678 2 Brand A 35,300 35,300 36,500 31,400 39,400 31,400 33,600 39,200 Brand B 36,400 35,400 36,700 30,400 38,400 34,600 33,900 41,000

Critical Values of the t-Distribution (Page 1) Critical Values of the t-Distribution 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 16 0.258 17 0.257 18 19 20 29 30 0.40 0.325 0.289 0.277 0.271 0.267 40 60 120 0.265 0.263 0.262 0.261 0.260 0.30 0.727 0.617 0.584 0.569 0.559 0.553 0.549 0.546 0.543 0.542 0.260 0.540 0.259 0.539 0.259 0.538 0.258 0.537 0.258 0.536 0.257 0.257 0.257 0.533 0.20 1.376 1.061 0.978 0.941 0.920 0.257 0.256 0.256 0.256 0.531 0.256 0.531 0.906 0.896 0.889 0.883 0.879 0.256 0.531 0.256 0.531 0.256 0.530 0.256 0.256 0.876 0.873 0.870 0.534 0.862 0.533 0.861 0.530 0.530 0.535 0.865 1.071 0.534 0.863 1.069 0.868 1.076 0.866 1.074 0.15 0.10 0.05 1.963 3.078 6.314 1.386 1.886 2.920 1.250 1.638 2.353 1.190 1.533 2.132 1.156 1.476 2.015 1.134 1.119 1.108 1.100 1.093 0.532 0.859 0.532 0.858 0.532 0.858 1.060 0.857 0.856 0.856 0.855 0.855 0.854 0.854 1.337 1.333 1.330 1.328 0.860 1.064 1.325 0.255 0.529 0.851 0.254 0.527 0.848 0.254 0.526 0.845 0.253 0.524 0.842 0.40 0.30 0.20 1.088 1.363 1.083 1.356 1.079 1.067 1.066 1.063 1.061 1.059 1.058 1.058 1.057 1.056 1.440 1.415 1.397 1.383 1.372 1.055 1.055 1.050 1.045 1.796 1.782 1.350 1.771 1.345 1.761 1.341 1.753 1.943 1.895 1.860 1.833 1.812 1.315 1.314 1.313 1.311 1.310 1.303 1.296 1.041 1.289 1.036 1.282 0.15 0.10 a 1.323 1.721 1.321 1.717 1.319 1.318 1.316 1.746 1.740 1.734 1.729 1.725 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.671 1.658 1.645 0.05 0.025 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 2.021 2.000 1.980 1.960 0.025

Critical Values of the t-Distribution (Page 2) Critical Values of the t-Distribution 0.02 15.894 4.849 3 3.482 2.999 2.757 V 1 2 0010 4 5 6 7 8 9 10 11 2.328 2.303 2.282 2.264 2.249 12 200 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 2.612 2.517 2.449 2.398 2.359 40 60 120 2.235 2.224 2.214 2.205 2.197 2.189 2.183 2.177 2.172 2.167 2.162 2.158 2.154 2.150 2.147 2.123 2.099 2.076 2.054 0.02 0.01 0.015 21.205 31.821 5.643 6.965 3.896 4.541 3.298 3.747 3.003 3.365 2.829 2.715 2.634 2.574 2.527 2.491 2.461 2.436 2.415 2.397 2.382 2.368 2.356 2.346 2.336 2.328 2.320 2.313 2.307 2.301 2.296 2.291 2.286 2.250 2.223 3.143 2.998 2.896 2.821 2.764 2.196 2.170 0.015 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 2.467 2.282 2.462 2.278 2.457 2.479 2.473 2.423 2.390 2.358 2.326 0.01 a 0.0075 42.433 8.073 5.047 4.088 3.634 3.372 3.203 3.085 2.998 2.932 2.879 2.836 2.801 2.771 2.746 2.724 2.706 2.689 2.674 2.661 2.649 2.639 2.629 2.620 2.612 2.605 2.598 2.592 2.586 2.581 2.542 2.504 2.468 2.432 0.0075 a 0.005 63.656 9.925 5.841 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 2.704 2.660 2.617 2.576 0.005 0.0025 127.321 14.089 7.453 5.598 4.773 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 2.971 2.915 2.860 2.807 0.0025 0.0005 636.578 31.600 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.689 3.674 3.660 3.646 3.551 3.460 3.373 3.290 0.0005