please help i have less than 45 min to turn this in):

(9) Construct and interpret a Confidence Interval to estimate an entire population's Mean The grade point averages for 10 randomly selected college students are listed here: 2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8 Assume grade point averages are normally distributed (that is, have a Normal/Bell-shaped distribution). (a) Find a point estimate X for the population mean. (b) Find the Margin of Error for a 98% confidence interval. You must use the correct critical value from Table VII. (c) Construct a 98% confidence interval for the population mean. (d) Interpret the confidence interval, "We are 98% confident that ...." Table VII 1-Distribution Area in Right Tail 0.10 0.0025 0.000! 0.20 0.15 0.00% 0.001 0.25 0.02 318 309 636.615 1.000 1.376 1.963 3.078 6314 12.706 15.894 31.821 63.657 127.321 31.59 0.816 1:061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 0.765 0,978 1.250 1.638 2353 3.182 3 482 4.541 5.841 7.453 10.215 12.92 0.741 0.941 1.190 1533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.61 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.86 0.718 0.906 1.134 1:440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.95 0711 0 896 1.119 1.415 1.895 2.365 2517 2.998 3.499 4.029 4.785 5.40 0.70 0.889 1.108 1.397 1.860 2306 2.449 2.896 3.355 3.833 4.501 5.04 0.703 0.883 1.100 1.383 1.833 2.262 2 398 2.821 3.250 3.690 4.297 4.78 0.700 0879 1093 1372 1.812 2.228 2.359 2764 3.169 3.58 4.144 4:58 0.697 0.876 1.363 1,796 2.201 2 328 2718 3.106 3.497 4.025 4.43 0.695 0.873 1.356 1.782 2.179 2 303 2.681 3.055 3.428 3.930 4.31 0.694 0.870 1079 1,350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.22 14 0.602 0.868 1076 1.345 1.761 2.145 2.26- 2.624 2.977 3.326 3.787 4.14 0.866 1.074 1.753 2.131 2 249 2.602 2.947 3.286 3.733 4.07 0.691 0.690 0.865 1.071 1.337 1.746 2.120 1235 2 583 2.921 3.252 3.686 4.01 0.689 0.863 1.069 1.333 1.740 2.1 10 2.22 2 567 2.898 3.222 3.646 3.96 0.688 0.862 1.067 1:330 1.734 2 101 2.214 2 532 2.878 3.610 3.92 0.688 0.861 1.066 1.328 1.729 209% 2.205 2 539 2.86 3.174 3.579 3.88 0.687 0.860 1:064 1.325 1.725 2 086 2.197 2 528 2.845 3.153 3.352 3.85 0:686 0.859 1 063 1.323 1.721 2080 2.189 2 518 2.831 3.135 3.52 3.81 0.686 0.858 1/061 1.321 1.717 2.07 2.183 2.508 2.819 3.119 3.505 3.75 0.685 0.858 1.060 1,319 1.714 2069 2.177 2.500 2.807 3.104 3:485 3.76 1001 3 74