Find the Requested Confidence Interval $\sigma = 13.36$ , Determine A $95.44 \%$

Multiple Choice

Find the requested confidence interval.
-The data below consists of the test scores of 32 students. Assuming $\sigma = 13.36$ , determine a $95.44 \%$ confidence interval for the population mean.
$\begin{array} { r r r r r r r r } 80 & 74 & 61 & 93 & 96 & 70 & 80 & 64 \\ 51 & 98 & 93 & 87 & 72 & 77 & 84 & 96 \\ 100 & 67 & 71 & 79 & 99 & 85 & 66 & 70 \\ 57 & 75 & 86 & 92 & 94 & 65 & 84 & 91 \end{array}$

A) $78.39$ to $87.39$
B) $69.39$ to $83.58$
C) $79.49$ to $89.39$
D) $75.19$ to $84.63$