please answer the following based on the table and the provided t-table

Lee owns a manufacturing company. He hires a simulation engineer Mr. Barclay, to analyze the efficiency of the system. The following table summarizes the simulation results. Q9-1. Lee believes the average waiting time in his facility is less than equal to 4 mins. Please perform hypothesis testing to validate his thought, =0.05 Q9-2. Lee hopes that the proportion of reworked items should be less than equal to 16%. Please perform hypothesis testing to check his hope, =0,1 Q9-3. The daily revenue should be greater than 1730 to operate this facility. Please perform hypothesis testing to check it, =0.025 Q9-4. Lee wants that more than 91 percent of items should be shipped to the customers and sold. Please perform the hypothesis testing. =0.05 (T-table) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline df & 25 & 20 & .15 & .10 & .05 & .025 & .02 & .01 & .005 & .0025 & .001 & .0005 \\ \hline 1 & 1.000 & 1.376 & 1.963 & 3.078 & 6.314 & 12.71 & 15.89 & 31.82 & 53,66 & 127.3 & 3183 & 636.6 \\ \hline 2 & 0.816 & 1061 & 1.386 & 1.386 & 2.920 & 4303 & 4.849 & 6.965 & 9.925 & 14.09 & 22,33 & 31.60 \\ \hline 3 & 0.765 & 0.978 & 1.250 & 1.638 & 2353 & 3.182 & 3,182 & 4.511 & 5.811 & 7.453 & 10.21 & 12.92 \\ \hline 4 & 0.741 & 0.941 & 1.190 & 1.533 & 2.132 & 2776 & 2.999 & 3.747 & 4.604 & 5.593 & 7.173 & 8.610 \\ \hline 5 & 0.727 & 0.920 & 1.156 & 1.476 & 2.015 & 2571 & 2.757 & 3.365 & 4.032 & 4.773 & 5.893 & 0.869 \\ \hline 6 & 0.718 & 0.906 & 1.134 & 1.440 & 1.943 & 2.447 & 2.612 & 3.143 & 3.707 & 4.317 & 5.208 & 5.959 \\ \hline 7 & 0.711 & 0896 & 1.119 & 1.415 & 1.895 & 2365 & 2.517 & 2.998 & 3.499 & 4.029 & 4.785 & 5.408 \\ \hline 8 & 0.706 & 0889 & 1.108 & 1.397 & 1.860 & 2.306 & 2.449 & 2,896 & 3.355 & 3.833 & 4.501 & 5.041 \\ \hline 9 & 0.703 & 0883 & 1.100 & 1.383 & 1.833 & 2262 & 2.398 & 2.821 & 3.250 & 3.690 & 4.297 & 4.781 \\ \hline 10 & 0.700 & 0879 & 1.093 & 1.372 & 1812 & 2228 & 2.359 & 2764 & 3.169 & 3.581 & 4. 144 & 4.587 \\ \hline 11 & 0.697 & 0.876 & 1.088 & 1.363 & 1.796 & 2.201 & 2.328 & 2.718 & 3.106 & 3.497 & 4.025 & 4.437 \\ \hline 12 & 0.695 & 0873 & 1.083 & 1.356 & 1.782 & 2.179 & 2.303 & 2.681 & 3.055 & 3.423 & 3.930 & 4.318 \\ \hline 13 & 0.694 & 0.870 & 1.079 & 1.350 & 1.771 & 2160 & 2.282 & 2.650 & 3.012 & 3.372 & 3.852 & 4.221 \\ \hline 14 & 0.692 & 0.868 & 1.076 & 1.345 & 1.761 & 2.145 & 2.264 & 2.024 & 2.977 & 3.326 & 3.787 & 4.140 \\ \hline 15 & 0.691 & 0.866 & 1.074 & 1.341 & 1.753 & 2.131 & 2.249 & 2.602 & 2.947 & 3.286 & 3.733 & 4.073 \\ \hline 16 & 0.690 & 0865 & 1.071 & 1.337 & 1.746 & 2120 & 2.235 & 2.583 & 2.921 & 3.252 & 3.686 & 4.015 \\ \hline 17 & 0.689 & 0.863 & 1.069 & 1.333 & 1.740 & 2.110 & 2,224 & 2.567 & 2898 & 3.222 & 3.646 & 3.905 \\ \hline 18 & 0.688 & 0.862 & 1.067 & 1.330 & 1.734 & 2.101 & 2.214 & 2.552 & 2.878 & 3.197 & 3.611 & 3.922 \\ \hline 19 & 0.688 & 0.861 & 1.066 & 1.328 & 1.729 & 2093 & 2.205 & 2.539 & 2.861 & 3.174 & 3.579 & 3.883 \\ \hline 20 & 0.687 & 0.860 & 1.064 & 1.325 & 1.725 & 2086 & 2,197 & 2.528 & 2,845 & 3.153 & 3,552 & 3.850 \\ \hline 21 & 0.636 & 0859 & 1.063 & 1.323 & 1.721 & 2080 & 2.189 & 2.518 & 2.831 & 3.135 & 3.527 & 3.319 \\ \hline 22 & 0.686 & 0.858 & 1.061 & 1.321 & 1.717 & 2074 & 2.183 & 2.508 & 2.819 & 3.119 & 3.505 & 3.792 \\ \hline 23 & 0.685 & 0.858 & 1.060 & 1.319 & 1.714 & 2.069 & 2.177 & 2.300 & 2.807 & 3.104 & 3.485 & 3.768 \\ \hline 24 & 0.635 & 0.857 & 1.059 & 1.318 & 1.711 & 2064 & 2.172 & 2,492 & 2.797 & 3.091 & 3.407 & 3.745 \\ \hline 25 & 0.684 & 0856 & 1.058 & 1316 & 1.708 & 2.060 & 2.167 & 2,485 & 2.787 & 3.073 & 3.450 & 3.725 \\ \hline 26 & 0.684 & 0856 & 1.058 & 1315 & 1706 & 2056 & 2162 & 2479 & 2779 & 30km & 3,435 & 3.707 \\ \hline 27 & 0.684 & 0855 & 1.057 & 1.314 & 1.703 & 2052 & 2.158 & 2.473 & 2.771 & 3.057 & 3.421 & 3.690 \\ \hline 28 & 0.683 & 0855 & 1.056 & 1.313 & 1.701 & 2048 & 2.154 & 2.467 & 2.763 & 3.047 & 3,408 & 3.674 \\ \hline 29 & 0.683 & 0854 & 1.055 & 1.311 & 1.699 & 2045 & 2.150 & 2.462 & 2.756 & 3.038 & 3.396 & 3.659 \\ \hline 30 & 0.683 & 0.854 & 1.055 & 1.310 & 1.697 & 2.042 & 2.147 & 2.457 & 2,750 & 3.030 & 3.385 & 3.640 \\ \hline 40 & 0.681 & 0851 & 1.050 & 1.303 & 1.684 & 2021 & 2.123 & 2.423 & 2.704 & 2971 & 3.307 & 3.551 \\ \hline 50 & 0.679 & 0849 & 1.047 & 1.299 & 1.676 & 2.009 & 2.109 & 2.403 & 2.678 & 2.937 & 3.261 & 3.496 \\ \hline 60 & 0.679 & 0848 & 1.045 & 1.296 & 1.671 & 2000 & 2.099 & 2.390 & 2.600 & 2915 & 3.232 & 3.460 \\ \hline 80 & 0.678 & 0.846 & 1.043 & 1.292 & 1.664 & 1990 & 2.088 & 2.374 & 2.639 & 2.887 & 3,195 & 3.416 \\ \hline 100 & 0.677 & 0.845 & 1.042 & 1.290 & 1.660 & 1.984 & 2.081 & 2.364 & 2.626 & 2871 & 3.174 & 3.390 \\ \hline 1000 & 0.675 & 0.842 & 1.037 & 1.282 & 1.646 & 1%62 & 2.056 & 2,330 & 2.581 & 2.813 & 3.098 & 3.300 \\ \hlinez & 0.674 & 0.841 & 1.036 & 1.282 & 1.045 & 1.900 & 2.054 & 2.326 & 2.576 & 2.807 & 3.091 & 3.291 \\ \hline \end{tabular} Lee owns a manufacturing company. He hires a simulation engineer Mr. Barclay, to analyze the efficiency of the system. The following table summarizes the simulation results. Q9-1. Lee believes the average waiting time in his facility is less than equal to 4 mins. Please perform hypothesis testing to validate his thought, =0.05 Q9-2. Lee hopes that the proportion of reworked items should be less than equal to 16%. Please perform hypothesis testing to check his hope, =0,1 Q9-3. The daily revenue should be greater than 1730 to operate this facility. Please perform hypothesis testing to check it, =0.025 Q9-4. Lee wants that more than 91 percent of items should be shipped to the customers and sold. Please perform the hypothesis testing. =0.05 (T-table) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline df & 25 & 20 & .15 & .10 & .05 & .025 & .02 & .01 & .005 & .0025 & .001 & .0005 \\ \hline 1 & 1.000 & 1.376 & 1.963 & 3.078 & 6.314 & 12.71 & 15.89 & 31.82 & 53,66 & 127.3 & 3183 & 636.6 \\ \hline 2 & 0.816 & 1061 & 1.386 & 1.386 & 2.920 & 4303 & 4.849 & 6.965 & 9.925 & 14.09 & 22,33 & 31.60 \\ \hline 3 & 0.765 & 0.978 & 1.250 & 1.638 & 2353 & 3.182 & 3,182 & 4.511 & 5.811 & 7.453 & 10.21 & 12.92 \\ \hline 4 & 0.741 & 0.941 & 1.190 & 1.533 & 2.132 & 2776 & 2.999 & 3.747 & 4.604 & 5.593 & 7.173 & 8.610 \\ \hline 5 & 0.727 & 0.920 & 1.156 & 1.476 & 2.015 & 2571 & 2.757 & 3.365 & 4.032 & 4.773 & 5.893 & 0.869 \\ \hline 6 & 0.718 & 0.906 & 1.134 & 1.440 & 1.943 & 2.447 & 2.612 & 3.143 & 3.707 & 4.317 & 5.208 & 5.959 \\ \hline 7 & 0.711 & 0896 & 1.119 & 1.415 & 1.895 & 2365 & 2.517 & 2.998 & 3.499 & 4.029 & 4.785 & 5.408 \\ \hline 8 & 0.706 & 0889 & 1.108 & 1.397 & 1.860 & 2.306 & 2.449 & 2,896 & 3.355 & 3.833 & 4.501 & 5.041 \\ \hline 9 & 0.703 & 0883 & 1.100 & 1.383 & 1.833 & 2262 & 2.398 & 2.821 & 3.250 & 3.690 & 4.297 & 4.781 \\ \hline 10 & 0.700 & 0879 & 1.093 & 1.372 & 1812 & 2228 & 2.359 & 2764 & 3.169 & 3.581 & 4. 144 & 4.587 \\ \hline 11 & 0.697 & 0.876 & 1.088 & 1.363 & 1.796 & 2.201 & 2.328 & 2.718 & 3.106 & 3.497 & 4.025 & 4.437 \\ \hline 12 & 0.695 & 0873 & 1.083 & 1.356 & 1.782 & 2.179 & 2.303 & 2.681 & 3.055 & 3.423 & 3.930 & 4.318 \\ \hline 13 & 0.694 & 0.870 & 1.079 & 1.350 & 1.771 & 2160 & 2.282 & 2.650 & 3.012 & 3.372 & 3.852 & 4.221 \\ \hline 14 & 0.692 & 0.868 & 1.076 & 1.345 & 1.761 & 2.145 & 2.264 & 2.024 & 2.977 & 3.326 & 3.787 & 4.140 \\ \hline 15 & 0.691 & 0.866 & 1.074 & 1.341 & 1.753 & 2.131 & 2.249 & 2.602 & 2.947 & 3.286 & 3.733 & 4.073 \\ \hline 16 & 0.690 & 0865 & 1.071 & 1.337 & 1.746 & 2120 & 2.235 & 2.583 & 2.921 & 3.252 & 3.686 & 4.015 \\ \hline 17 & 0.689 & 0.863 & 1.069 & 1.333 & 1.740 & 2.110 & 2,224 & 2.567 & 2898 & 3.222 & 3.646 & 3.905 \\ \hline 18 & 0.688 & 0.862 & 1.067 & 1.330 & 1.734 & 2.101 & 2.214 & 2.552 & 2.878 & 3.197 & 3.611 & 3.922 \\ \hline 19 & 0.688 & 0.861 & 1.066 & 1.328 & 1.729 & 2093 & 2.205 & 2.539 & 2.861 & 3.174 & 3.579 & 3.883 \\ \hline 20 & 0.687 & 0.860 & 1.064 & 1.325 & 1.725 & 2086 & 2,197 & 2.528 & 2,845 & 3.153 & 3,552 & 3.850 \\ \hline 21 & 0.636 & 0859 & 1.063 & 1.323 & 1.721 & 2080 & 2.189 & 2.518 & 2.831 & 3.135 & 3.527 & 3.319 \\ \hline 22 & 0.686 & 0.858 & 1.061 & 1.321 & 1.717 & 2074 & 2.183 & 2.508 & 2.819 & 3.119 & 3.505 & 3.792 \\ \hline 23 & 0.685 & 0.858 & 1.060 & 1.319 & 1.714 & 2.069 & 2.177 & 2.300 & 2.807 & 3.104 & 3.485 & 3.768 \\ \hline 24 & 0.635 & 0.857 & 1.059 & 1.318 & 1.711 & 2064 & 2.172 & 2,492 & 2.797 & 3.091 & 3.407 & 3.745 \\ \hline 25 & 0.684 & 0856 & 1.058 & 1316 & 1.708 & 2.060 & 2.167 & 2,485 & 2.787 & 3.073 & 3.450 & 3.725 \\ \hline 26 & 0.684 & 0856 & 1.058 & 1315 & 1706 & 2056 & 2162 & 2479 & 2779 & 30km & 3,435 & 3.707 \\ \hline 27 & 0.684 & 0855 & 1.057 & 1.314 & 1.703 & 2052 & 2.158 & 2.473 & 2.771 & 3.057 & 3.421 & 3.690 \\ \hline 28 & 0.683 & 0855 & 1.056 & 1.313 & 1.701 & 2048 & 2.154 & 2.467 & 2.763 & 3.047 & 3,408 & 3.674 \\ \hline 29 & 0.683 & 0854 & 1.055 & 1.311 & 1.699 & 2045 & 2.150 & 2.462 & 2.756 & 3.038 & 3.396 & 3.659 \\ \hline 30 & 0.683 & 0.854 & 1.055 & 1.310 & 1.697 & 2.042 & 2.147 & 2.457 & 2,750 & 3.030 & 3.385 & 3.640 \\ \hline 40 & 0.681 & 0851 & 1.050 & 1.303 & 1.684 & 2021 & 2.123 & 2.423 & 2.704 & 2971 & 3.307 & 3.551 \\ \hline 50 & 0.679 & 0849 & 1.047 & 1.299 & 1.676 & 2.009 & 2.109 & 2.403 & 2.678 & 2.937 & 3.261 & 3.496 \\ \hline 60 & 0.679 & 0848 & 1.045 & 1.296 & 1.671 & 2000 & 2.099 & 2.390 & 2.600 & 2915 & 3.232 & 3.460 \\ \hline 80 & 0.678 & 0.846 & 1.043 & 1.292 & 1.664 & 1990 & 2.088 & 2.374 & 2.639 & 2.887 & 3,195 & 3.416 \\ \hline 100 & 0.677 & 0.845 & 1.042 & 1.290 & 1.660 & 1.984 & 2.081 & 2.364 & 2.626 & 2871 & 3.174 & 3.390 \\ \hline 1000 & 0.675 & 0.842 & 1.037 & 1.282 & 1.646 & 1%62 & 2.056 & 2,330 & 2.581 & 2.813 & 3.098 & 3.300 \\ \hlinez & 0.674 & 0.841 & 1.036 & 1.282 & 1.045 & 1.900 & 2.054 & 2.326 & 2.576 & 2.807 & 3.091 & 3.291 \\ \hline \end{tabular}