As an Aid to the Establishment of Personnel Requirements,the Director $\bar { X }$

As an aid to the establishment of personnel requirements,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 64 different 24-hour periods and determines the number of admissions for each.For this sample, $\bar { X }$ = 19.8 and S² = 25.Estimate the mean number of admissions per 24-hour period with a 95% confidence interval.