I was wondering how would you approach this kind of question? Thanks.

\fTABLE F The t Distribution Confidence intervals 80% 90% 95% 98% 99% One tail, 0.10 0.05 0.025 0.01 0.005 d.f. Two tails, c 0.20 0.10 0.05 0.02 0.01 3.078 6.314 12.706 31.821 63.657 1.886 2.920 4.303 6.965 9.925 1.638 2.353 3.182 4.541 5.841 1.533 2.132 2.776 3.747 4.604 1.476 2.015 2.571 3.365 4.032 1.440 1.943 2.447 3.143 3.707 1.415 1.895 2.365 2.998 3.499 1.397 1.860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 1.372 2.228 2.764 3.169 1.363 .796 2.201 2.718 3.106 1.356 1.782 2.179 2.681 3.055 1.350 1.771 2.160 2.650 3.012 1.345 1.761 2.145 2.624 2.977 1.341 1.753 2.131 2.602 2.947 1.337 1.746 2.120 2.583 2.921 1.333 1.740 2.110 2.567 2.898 1.330 1.734 2.101 2.552 2.878 1.328 1.729 2.093 2.539 2.861 1.325 1.725 2.086 2.528 2.845 1.323 1.721 2.080 2.518 2.831 1.321 1.717 2.074 2.508 2.819 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060 2.485 2.787 1.315 1.706 2.056 2.479 2.779 1.314 1.703 2.052 2.473 2.771 1.313 1.701 2.048 2.467 2.763 1.311 1.699 2.045 2.462 2.756 1.310 .697 2.042 2.457 2.750 1.309 1.694 2.037 2.449 2.738 1.307 1.691 2.032 2.441 2.728 1.306 1.688 2.028 2.434 2.719 1.304 1.686 2.024 2.429 2.712 1.303 1.684 2.021 2.423 2.704 1.301 1.679 2.014 2.412 2.690 1.299 1.676 2.009 2.403 2.678 1.297 1.673 2.004 2.396 2.668 1.296 1.671 2.000 2.390 2.660 1.295 1.669 1.997 2.385 2.654 1.294 1.667 1.994 2.381 2.648 1.293 1.665 1.992 2.377 2.643 1.292 1.664 1.990 2.374 2.639 1.291 1.662 1.987 2.368 2.632 100 1.290 1.660 1.984 2.364 2.626 500 1.283 1.648 1.965 2.334 2.586 1000 1.282 1.646 1.962 2.330 2.581 (2) 00 1.282 1.6450 1.960 2.326 2.576d