12.1
.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 1.412 055 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750 Print 0.676 0.872 1.237 1.635 2.204 10.645 12 59 14.449 16.812 18.548 0.98 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 735 2 088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 .156 2.558 3.247 3.940 4 865 15.987 18.307 20.483 23.209 25.188 2.603 3.053 3.816 4.575 5.578 17.275 19.675 1.920 24.725 26.75 3.074 3.57 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.300 3.565 4,107 5.009 5.892 7.042 19.812 22.36 24,736 27.688 29.819 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319 4 601 5.229 5.262 7.261 22.307 24.99 7.488 30.578 32.801 5.142 5.812 6.908 7.962 9.312 23.542 26.29 28.845 32.000 34.267 5.697 6,408 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718 1.265 7.015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37.156 6.844 7.633 8.907 11.65 27.204 30.14 32.852 36.191 38.582 7434 3.260 9.591 10.851 12.443 28.412 31.410 34.170 37.566 39.997 8.034 8.897 10.28 11.59 13.240 29.615 32.67 35.479 38.93 41.401 8.643 9.542 10.982 12.338 14.041 10.813 33.92 36.781 40.289 42.796 9.260 10.196 11.689 13.09 14.848 32.007 35.17 38.076 41.638 44.181 9.886 10.856 12801 13.848 15.659 33.196 36.41 39.364 42.980 45.559 10.52 11.524 13.120 14.611 16.473 34.382 37.65 40.646 44.314 46.928 11.160 12,19 13.844 15.379 17.292 35.563 38.88 41.923 45.642 48.290 11.808 12.879 14.573 16.151 18.114 36.741 40.11 43.195 46.963 19.645 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.99 13.121 14.25 16.04 17.70 19.768 42.55 45.722 49.58 52.336 13.787 14.953 16.79 18.493 20.599 40.256 43.77 46.979 50.892 53.672 20.70 22.16 24.43 26 50 29.05 51.805 55.75 59.342 53.691 66.766 27.991 29,70 32.357 34.76 37.68 63.167 67.50 71.420 76.154 79.490 35.534 37.48 40.482 43.18 46.45 74.397 79.082 83.298 88.379 91.952 43.27 45.44 48.75 51.73 55.32 85.527 90.531 95.023 100.425 104.215 51.172 53.54 57.153 60.39 64.27 96.578 01.879 106.629 12.329 116.321 59.19 61.754 65.647 69.12 73.291 107.565 113.145 118.136 124.116 128.299 100 67.328 70.06 74,222 77.929 82.358 118.498 124 342 129.561 135.807 140.169 Degrees of 1.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 Freedom Left tail Right tail Area = 1-a Two tails The area to the The area to the The area to the right right of this right of this of this value is . value is ex. value is 1-a. 2 The area to the right of this value is 1-". (1) O between 0.025 and 0.05. O greater than 0. 10. less than 0.01. between 0.05 and 0. 10. between 0.01 and 0.025. YOU ANSWERED: C. 11. Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track hurdlers in the different starting positions. Find the critical value ya to test the claim that the probabilities of winning are the same in the different positions. Use of = 0.05 and round to three decimal places. The results are based on 240 wins Starting Position 1 2 3 4 6 9 Number of Wins 3 36 32 44 45 50 O A. 9.236 O B. 15.086 O C. 12.833 O D. 11.070 12. A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Find the critical value ya to test the claim that the probabilities show no preference. Use a = 0.01. Round to three decimal places. Plan 1 2 3 4 5 2 Employees 32 30 55 65 18 O A. 14.860 O B. 13.277 O C. 11.143 O D. 9.488 13. A spinner is mounted on a piece of cardboard divided into six areas of equal size. Each of the six areas is a different color (blue, yellow, red, green, white and orange). When the spinner is spun, each color should be selected by the spinner approximately - of the time. A student suspects that a certain spinner is defective. The suspected spinner is spun 90 times. The results are shown below. Find the critical value ya to test the student's claim. Use a = 0.10. Round to three decimal places. Color Blue Yellow Red Green White Orange Frequency 16 17 19 11 15 12 O A. 9.236 O B. 10.645 O C. 1.610 O D. 11.071 14. A random sample of 160 car purchases are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the critical value ya to test the claim that all ages have purchase rates proportional to their driving rates. Use a = 0.05. Round to three decimal places. Age Under 26 26-45 46-65 Over 65 Purchases 66 39 25 30 O A. 11.143 O B. 9.348 O C. 7.815 O D. 6.251