CUET Preparation Today
The test statistic $t=\frac{191-199}{\sqrt{\frac{(38)^2}{8}+\frac{(12)^2}{10}}}=-0.57$ Identity correct set of values of given options : |
$\overline{x}_1=191, s_1=12, s_2=38$ $\overline{x}_1=199, s_1=38, n_2=10$ $\overline{x}_1=191, s_1=38, n_1=8$ $\overline{x}_1=191, s_1=12, n_2=10$ |
$\overline{x}_1=191, s_1=38, n_1=8$ |
The correct answer is Option (3) → $\overline{x}_1=191, s_1=38, n_1=8$ The test statistic is, $t=\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{{s_1}^2}{n_1}+\frac{{s_2}^2}{n_2}}}$ $=\frac{191+199}{\sqrt{\frac{(38)^2}{8}+\frac{(12)^2}{10}}}$ $⇒\bar{x_1}=191, s_1=38, n_1=8$ |
