The Director of a Hospital Wishes to Estimate the Mean $\bar { x } = 17.3$

The director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 36 different 24-hour periods and determines the number of admissions for each. For this sample, $\bar { x } = 17.3$ and $s ^ { 2 } = 16$ . Estimate the mean number of admissions per 24 -hour period with a $99 \%$ confidence interval.
A) $17.3 \pm 1.717$
B) $17.3 \pm 6.867$
C) $17.3 \pm .286$
D) $17.3 \pm .660$