I need help with this question please. I attached table t in case you need it.

For all questions in this Module: keep at least FOUR(4) decimals in your calculations. Round only your FINAL answer to the number of decimals specified in each problem. When there is nothing specified, report your answer to two (2) decimal places. 1. Confidence Interval Given. Assume I created a 95% confidence interval for the mean hours studied for a test based on a random sample of 64 students. The lower bound of this interval was 7.4038 and the upper bound was 16.5962. Assume that when I created this interval I knew the population standard deviation. Using this information, answer the following questions. Report your answers to FOUR decimal places. (a) Calculate the width of the interval. (b) Calculate the margin of error for the interval. (c) Calculate the center of the interval. (d) What is the sample mean? (e) What is the z* (or Za/2) used? (f) Calculate the population standard deviation. [Do not use the Empirical Rule.]Table entry for p and t* with probability p Probability p lying to its right and probability C lying .25 025 .005 001 1.376 3.078 15.89 31.82 63.66 127.3 636.6 1.886 2.920 4.849 9.925 14.09 22.33 31.60 1.250 1.638 3.482 0.941 1.533 0.727 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 6.869 0.906 1.440 1.943 2.447 2.612 3.707 4.317 5.208 5.959 0.711 1.119 1.415 1.895 2.998 3.499 4.029 4.785 ).706 0.889 1.108 1.397 1.860 2.306 2.896 3.355 3.833 4.501 5.041 0.703 1.100 1.383 2.398 2.821 3.250 3.690 4.297 10 0.700 1.093 1.372 1.812 2.764 3.169 4.14 4.587 0.876 .088 1.363 1.796 2.201 2.328 2.718 3.106 4.025 4.437 .083 1.356 1.782 2.179 2.303 2.681 3.055 3.930 4.318 0.870 .079 1.350 3.012 4.221 L.076 1.345 2.624 3.326 4.140 1.341 1.753 2.249 2.602 3.286 3.733 4.073 16 0.690 0.865 1.071 1.337 1.746 2.583 2.921 3.686 17 0.863 1.069 1.333 1.740 2.110 2.224 2.567 3.222 3.646 3.965 18 0.862 1.067 1.330 2.214 2.878 3.197 3.611 19 066 3.883 0.687 0.860 2.080 3.792 1.319 1.714 2.069 2.500 2.807 3.104 1.059 .318 1.711 2.064 2.797 3.091 3.745 0.684 1.058 1.708 2.167 2.485 2.787 3.725 0.856 1.058 1.315 1.706 2.162 2.479 2.779 3.067 3.435 27 1.057 2.052 2.771 3.057 3.421 29 0.683 0.855 1.056 1.313 1.701 2.154 2.467 2.763 3.047 3.408 3.674 .683 1.055 1.311 1.699 2.045 2.462 2.756 3.038 3.396 30 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.646 40 0.851 .050 1.303 1.684 2.423 2.704 50 0.679 0.849 .047 1.299 2.009 2.109 2.403 2.678 2.937 3.496 60 0.679 .045 1.296 2.099 2.390 2.660 3.232 3.460 80 0.678 0.846 .043 1.990 2.374 2.639 2.887 3.195 3.416 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.626 2.871 3.174 3.390 1000 0.675 1.037 1.282 1.962 2581 3.098 3.300 0.674 1.036 1.282 1.645 1.960 2.326 2.576 2.807 3.091 3.291 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.8% 99.9%