(Solved): Small Sample Testing Population variances are unknown, but the difference between two population va ...

Small Sample Testing Population variances are unknown, but the difference between two population variances considered equal $s_p{}^2=\frac{\left(n_1?1\right)?s_1{}^2+\left(n_2?1\right)?s_2{}^2}{n_1+n_2?2}$ $t=\frac{\left({\stackrel{?}{X}}_1?{\stackrel{?}{X}}_2\right)?\left({?}_1?{?}_2\right)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$ A reading comprehension test is applied to 2 groups of 9 students enrolled in the reading development class. One of the groups reads the test subject aloud and the other silently. According to this, the average score of those who read aloud is 31.56 standard deviation 4.47 and the average score is 35.22 standard deviation is measured as 4.94. Are the evidences showing that the average comprehension scores are different under the conditions of reading aloud and silent at the level of $?=0.05$ significance?