A modeler is building a model for the call center of Student Affairs Department. In the validation phase, output results of the simulation model will be compared with the observed system behavior which has a mean number of 73 calls per day. 6 independent replications of the model were run and the following results are obtained as the average number of calls. Replication 1 2 3 4 5 6 Sample mean for replication r 73 66 63 60 64 70 Develop and conduct a statistical test to evaluate whether model output is consistent with the real system behavior for the significance levels a=0.10, a=0.05 and a=0.01. t distribution critical values Upper-tail probability p df .25 .20 .15 .10 .05 .025 .02 .01 2005 .0025 .001 .0005 1 2 3 4. 5 6 7 8 9 10 11 12 1.000 0.816 0.765 0.741 0.727 0.718 0.711 0.706 0.703 0.700 0.697 0.695 1.376 1.061 0.978 0.941 0.920 0.906 0.896 0.889 0.883 0.879 0.876 0.873 1.963 1.386 1.250 1.190 1.156 1.134 1.119 1.108 1.100 1.093 1.088 1.083 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 12.71 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 15.89 4.849 3.482 2.999 2.757 2.612 2.517 2.449 2.398 2.359 2.328 2.303 31.82 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 63.66 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 127.3 14.09 7.453 5.598 4.773 4.317 4.029 3.833 3.690 3.581 3.497 3.428 318.3 22.33 10.21 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 636.6 31.60 12.92 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318