A Sample of Size $n = 20$ Is Drawn from an Approximately Normal Population Whose Standard Deviation

Multiple Choice

A sample of size $n = 20$ is drawn from an approximately normal population whose standard deviation is $\sigma = 5.5$ . The sample mean is $\bar { x } = 52.4$ . Construct a $95 \%$ confidence interval for $\mu$ .

A) $35.69 < \mu < 69.11$
B) $49.99 < \mu < 54.81$
C) $52.40 < \mu < 54.81$
D) $51.37 < \mu < 53.43$