Provide an appropriate response.

How much money does the average professional hockey fan spend on food at a single hockey game? That question was posed to $10$ randomly selected hockey fans. The sampled results show that sample mean and standard deviation were $$12\mathrm{.}00$ and $$3\mathrm{.}45,$ respectively. Use this information to create a $90\%$ confidence interval for the mean. Express the answer in the form x $\backslash$pm t$\backslash$alpha $/2($s$/).$

Select one:

A$.12\backslash$pm $1\mathrm{.}383(3\mathrm{.}45/)$

B$.12\backslash$pm $1\mathrm{.}796(3\mathrm{.}45/)$

C$.12\backslash$pm $1\mathrm{.}812(3\mathrm{.}45/)$

D$.12\backslash$pm $1\mathrm{.}833(3\mathrm{.}45/)$