You collected a sample with 12 observations to test the null hypothesis about the population mean of X, Ux, shown below: Ho : ux = c vs. HA : ux > C, with a 10% significance level. t Table cum. prob one-tail two-tails df t 50 t 75 t 85 t 95 0.05 t 80 t 975 t 995 t 999 t 90 0.10 t 99 0.01 t 9995 0.001 0.0005| 0.001 0.50 0.25 0.20 0.15 0.025 0.005 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.002 1 0.000 1.000 1.376 1.963 3.078 6.314 12.71 31.82 63.66 318.31 636.62 0.816 0.765 1.386 1.250 1.190 1.156 2 0.000 1.061 1.886 2.920 4.303 6.965 9.925 22.327 31.599 3 0.000 0.978 1.638 2.353 3.182 4.541 5.841 10.215 12.924 4 0.000 0.741 0.941 1.533 2.132 2.776 3.747 4.604 7.173 8.610 0.000 0.727 0.920 1.476 2.015 2.571 3.365 4.032 5.893 6.869 2.447 2.365 6. 0.000 0.718 0.906 1.134 1.440 1.943 3.143 3.707 5.208 5.959 2.998 1.895 1.860 1.833 7 0.000 0.711 0.896 1.119 1.415 3.499 4.785 5.408 8 0.000 0.706 0.889 1.108 1.397 2.306 2.896 3.355 4.501 5.041 9 0.000 0.703 0.883 1.100 1.383 2.262 2.821 3.250 4.297 4.781 0.700 0.697 1.372 1.363 1.356 10 0.000 0.879 1.093 1.812 2.228 2.764 3.169 4.144 4.587 11 0.000 0.876 1.088 1.796 2.201 2.718 3.106 4.025 4.437 12 0.000 0.695 0.873 1.083 1.782 2.179 2.681 3.055 3.930 4.318 Use the table above to find the appropriatet-critical value you should use for this hypothesis test: cum. prob one-tail two-tails df t.50 t75 t.80 t 85 t 90 t 95 t.975 t 99 t 995 t 9995 .999 0.50 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.002 0.001 1 0.000 1.000 1.376 63.66 1.963 1.386 3.078 6.314 12.71 31.82 318.31 636.62 2 0.000 0.816 1.061 1.886 2.920 4.303 6.965 9.925 22.327 31.599 3 0.000 0.765 0.978 1.250 1.638 1.533 2.353 3.182 4.541 5.841 10.215 12.924 4 0.000 0.741 0.941 1.190 2.132 2.776 3.747 4.604 7.173 8.610 0.000 0.000 0.000 5 0.727 0.920 1.156 1.476 2.015 2.571 2.447 3.365 4.032 5.893 6.869 6 0.718 0.906 1.134 1.440 1.943 3.143 3.707 5.208 5.959 0.711 0.896 1.119 1.415 1.895 2.365 2.998 3.499 4.785 5.408 8 9 10 2.306 0.000 0.000 0.706 0.889 1.108 1.100 1.397 1.860 2.896 3.355 4.501 5.041 0.703 0.883 1.383 1.833 2.262 2.821 3.250 4.297 4.781 0.000 0.700 0.879 1.093 1.372 1.812 2.228 2.764 3.169 4.144 4.587 11 0.000 0.697 0.876 1.088 1.363 1.796 2.201 2.718 3.106 4.025 4.437 12 0.000 0.695 0.873 1.083 1.356 1.782 2.179 2.681 3.055 3.930 4.318 13 0.000 0.694 0.870 1.079 1.350 1.771 2.160 2.650 3.012 3.852 4.221 14 0.000 0.692 0.868 1.076 1.345 1.761 2.145 2.624 2.977 3.787 4.140 15 16 0.000 0.691 0.866 1.074 1.341 1.753 2.131 2.602 2.947 3.733 4.073 0.000 0.690 0.865 1.071 1.337 1.746 2.120 2.583 2.921 3.686 4.015 17 0.689 0.863 2.567 3.646 3.965 0.000 0.000 0.000 1.069 1.333 1.740 2.110 2.898 18 0.688 0.862 1.067 1.330 1.734 2.101 2.552 2.878 3.610 3.922 19 20 0.688 0.861 1.066 1.328 1.729 2.093 3.579 2.539 2.528 2.861 3.883 1.325 0.000 0.000 0.687 0.860 1.064 1.725 2.086 2.845 3.552 3.850 21 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 3.527 3.819 22 23 24 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819 3.505 3.792 0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 3.485 3.768 0.000 0.685 0.857 1.059 1.318 1.711 2.064 2.492 2.797 3.467 3.745 25 0.000 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787 3.450 3.725 26 0.000 0.684 0.856 1.058 1.315 2.056 2.479 1.706 1.703 2.779 3.435 3.707 27 0.000 0.684 0.855 1.057 1.314 2.052 2.473 2.771 3.421 3.690 28 0.000 0.683 0.855 1.056 1.313 1.701 2.048 2.467 2.763 3.408 3.674 0.000 1.699 1.697 29 0.683 0.854 1.055 1.311 2.045 2.462 2.756 3.396 3.385 3.307 3.659 30 40 60 80 100 1000 1.310 1.303 0.000 0.683 0.854 1.055 2.042 2.457 2.750 3.646 3.551 0.000 0.681 0.851 1.050 1.684 2.021 2.423 2.704 0.000 0.679 0.848 1.045 1.296 1.671 2.000 2.390 2.660 3.232 3.460 0.000 0.678 0.846 1.043 1.292 1.664 1.990 2.374 2.639 3.195 3.416 0.000 0.677 0.845 1.042 1.290 1.660 1.984 2.364 2.626 3.174 3.390 0.000 0.675 0.842 1.037 1.282 1.646 1.962 2.330 2.581 3.098 3.300 0.000 0.674 0.842 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291 0% 50% 60% 70% 95% Confidence Level 80% 90% 98% 99% 99.8% 99.9% CO7 O