95% Confidence Interval question

Question

A random sample of size $16$ from a normal population gives the sample mean $10$ and sample standard deviation $1.6$. A $95\%$ confidence interval for the population mean is closest to:

1. $10\pm 1.6\cdot{2.131}$
2. $10\pm 0.4\cdot{1.96}$
3. $10\pm 0.4\cdot{1.753}$
4. $10\pm 1.6\cdot{1.753}$
5. $10\pm 0.4\cdot{2.131}$

I believe the answer is $(2)$, but would appreciate it if someone could check this for me. Thank you.