Find the Requested Confidence Interval $5.50,10.20,3.15,6.08,4.85,4.80,4.70,8.52,7.90,6.10,3.50$ $5.40,7.10,9.60,6.20$ , And $4.28$ Assuming $\sigma = 2.00$

Multiple Choice

Find the requested confidence interval.
-A survey revealed the amount of pocket money held by each student in a sample of students from Statistics 205. The amounts (in dollars) are $5.50,10.20,3.15,6.08,4.85,4.80,4.70,8.52,7.90,6.10,3.50$ , $5.40,7.10,9.60,6.20$ , and $4.28$ . Assuming $\sigma = 2.00$ , find the $99.74 \%$ confidence interval for the population mean.

A) $\$ 5.62$ to $\$ 6.62$
B) $\$ 4.62$ to $\$ 7.62$
C) $\$ 4.12$ to $\$ 8.12$
D) $\$ 0$ to $\$ 4.00$