A Researcher Wishes to Determine If Female Students and Male $n_{female}$

Multiple Choice

A researcher wishes to determine if female students and male students differ in the size of their network of friends. She selects random samples of 10 female and 15 male students. Descriptive statistics are given below:
$n_{female}$ = 10 $\quad$ $\overline{x}_{female}$ = 23 $\quad$ $s_{female}$ = 7.8
$n_{male}$ = 15 $\quad$ $\overline{x}_{male}$ = 16 $\quad$ $s_{male}$ = 6.4
What is the standard error for the sampling distribution of $\overline{x}_{female}$ - $\overline{x}_{male}$ ?

A) 1.10
B) 8.81
C) 2.97
D) 7.10