In Izmir Univesity of Economics in 2018, from a random sample of 6 students in an introductory finance class that uses group-learning techniques, the mean examination score was found to be 79.62 and the sample standard deviation was 2.3. For an independent random sample of 9 students in another introductory finance class that does not use group-learning techniques, the sample mean and standard deviation of exam scores were 70.79 and 8.9, respectively. Estimate with 90% confidence the difference between the two population mean scores; do not assume equal population variances. Click the icon to view the Student's t distribution table. The 90% confidence interval is from a lower limit of (Round to two decimal places as needed.) to an upper limit of * - X Student's t distribution 0 16 2.583 For selected probabilities, a, the table shows the values, such that P(1,> a) = x, where t, is a Student'st randon of freedom. For example, the probability is 10 that a Student's t random variable with 10 degrees of freedom exceeds 1.337 1.333 1.330 1.746 1.740 2.120 2.110 17 2.567 2.921 2.898 2.878 18 2.101 2.552 1.328 19 20 1.734 1.729 1.725 2.861 2.845 V 1.325 0.10 3.078 1.886 0.005 63.657 2.093 2.086 2.080 2.074 1 2 21 1.721 1.717 2.539 2.528 2.518 2.508 2.500 2.492 9.925 22 23 1.323 1.321 1.319 1.318 1.316 2.831 2.819 2.807 3 1.714 1.638 1.533 1.476 4 24 25 1.711 1.708 2.069 2.064 2.060 2.797 2.787 5 2.485 5.841 4.604 4.032 3.707 3.499 3.355 6 1.440 26 PROBABILITY OF EXCEEDING THE CRITICAL VALUE 0.05 0.025 0.01 6.314 12.706 31.821 2.920 4.303 6.965 2.353 3.182 4.541 2.132 2.776 3.747 2.015 2.571 3.365 1.943 2.447 3.143 1.895 2.365 2.998 1.860 2.306 2.896 1.833 2.262 2.821 1.812 2.228 2.764 1.796 2.201 2.718 1.782 2.179 2.681 1.771 2.160 2.650 1.761 2.145 2.624 1.753 2.131 2.602 1.315 1.314 2.479 2.473 2.779 2.771 7 1.415 1.397 27 1.706 1.703 1.701 1.699 2.056 2.052 2.048 2.045 8 1.313 28 29 2.467 2.462 2.763 2.756 9 1.383 1.311 10 3.250 3.169 3.106 30 1.697 2.042 1.372 1.363 2.457 11 40 60 1.310 1.303 1.296 1.684 1.671 2.750 2.704 2.660 12 3.055 2.021 2.000 1.984 1.356 1.350 2.423 2.390 2.364 2.326 13 100 2.626 3.012 2.977 1.290 1.282 1.660 1.645 1.345 00 1.960 2.576 14 15 1.341 2.947 PROBABILITY OF EXCEEDING THE CRITICAL VALUE 0.10 0.05 0.025 0.01 0.005