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 :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $\overline{x}_1=191, s_1=38, n_1=8$
The test statistic is,
$t=\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{{s_1}^2}{n_1}+\frac{{s_2}^2}{n_2}}}$
$=\frac{191+199}{\sqrt{\frac{(38)^2}{8}+\frac{(12)^2}{10}}}$
$⇒\bar{x_1}=191, s_1=38, n_1=8$