Give a 95% confidence interval, for $\displaystyle \mu_{{1}}-\mu_{{2}}$ given the following information.

$\displaystyle {n}_{{1}}={55}$, $\displaystyle \overline{{x}}_{{1}}={2.97}$, $\displaystyle {s}_{{1}}={0.61}$
$\displaystyle {n}_{{2}}={30}$, $\displaystyle \overline{{x}}_{{2}}={3.17}$, $\displaystyle {s}_{{2}}={0.86}$

$\displaystyle \pm$ Use Technology Rounded to 2 decimal places.

Hint